The image of the point B after the rotation by 180 degrees about point C is (0, 0)
How to determine the image of the point B after the rotationGiven that
B = (4, 4)
C = (3, 1)
The rotation rule is given as
Rotation by 180 degrees counterclockwise around vertex C
The rule of 180 degrees counterclockwise about the origin is
(x,y) = (-x,-y)
If the center of rotation is (a, b), then we have
(x,y) = (-(x - a) + b, -(y - b) + a)
So, we have
B' = (-(4 - 3) + 1, -(4 - 1) + 3)
Evaluate
B' = (0, 0)
Hence, the image of the point is (0, 0)
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A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
Answer: To solve the problem, we can use Bayes' theorem. Let D be the event that a device is defective, and let A be the event that the quality assurance check concludes that a device is defective.
We want to find P(A and not D) + P(not A and D), which represents the probability of an incorrect conclusion.
We know that P(D) = 1 - P(not D) = 1 - 0.84 = 0.16, and that P(A | not D) = 0.03 and P(A | D) = 0.97.
Using Bayes' theorem, we can compute:
P(not A | not D) = 1 - P(A | not D) = 1 - 0.03 = 0.97
P(not A | D) = 1 - P(A | D) = 1 - 0.97 = 0.03
Therefore,
P(A and not D) = P(not D) * P(A | not D) = 0.84 * 0.03 = 0.0252
P(not A and D) = P(D) * P(not A | D) = 0.16 * 0.03 = 0.0048
So the probability of an incorrect conclusion is:
P(A and not D) + P(not A and D) = 0.0252 + 0.0048 = 0.03
Therefore, the probability of an incorrect conclusion is 0.03, or 3% (rounded to the nearest tenth of a percent).
Why was this answer deleted prior?
An Olympic swimming pool is 25 meters wide. How many decimeters
wide is an Olympic swimming pool?
Answer: 2.5 dm
Step-by-step explanation:
Divide 25.0 by 10
= 2.5
Help with this problem guys
→no trolling please i really need it←
We are given the following lengths:
XY (median) = 4m+3CO (upper base) = 2m-10PY (lower base) = 3m+37We will solve it by using this formula:
[tex]\boxed{\mathfrak{\purple {Median = \frac{1}{2}(lower \: base+upper \: base)}}}[/tex]
[tex]\boxed{\mathcal{\purple { XY = \frac{1}{2}( CO+PY)}}}[/tex]
Lets solve it down now, #16[tex] \green{ \sf4m + 3 = \frac{1}{2} (2m - 10 + 3m + 37)}[/tex]
[tex] \red \implies \green{ \sf4m + 3 = \frac{1}{2} (5m+ 27)}[/tex]
[tex] \red \implies \green{ \sf4m + 3 = \frac{5}{2} m + \frac{27}{2} }[/tex]
[tex] \red \implies \green{ \sf8m + 6 = 5m + 27 }[/tex]
[tex] \red \implies \green{ \sf8m + 6 - 5m = 27 }[/tex]
[tex] \red \implies \green{ \sf8m - 5m= 27 - 6 }[/tex]
[tex] \red \implies \green{ \sf3m = 21 }[/tex]
[tex] \boxed{ \mathfrak{ \red{m = 7}}}[/tex]
#17[tex] \blue \longmapsto \orange{ \tt \: XY =4m + 3}[/tex]
[tex] \blue \longmapsto \orange{ \tt \: XY =4(7) + 3}[/tex]
[tex] \blue \longmapsto \orange{ \tt \: XY =28 + 3}[/tex]
[tex] \boxed{ \underline{ \underline{ \blue \longmapsto \orange{ \tt \: XY =31}}}}[/tex]
#18[tex] \purple \longmapsto \pink{ \tt \: CO = 2m - 10}[/tex]
[tex] \purple \longmapsto \pink{ \tt \: CO = 2(7) - 10}[/tex]
[tex] \purple \longmapsto \pink{ \tt \: CO = 14 - 10}[/tex]
[tex] \boxed{ \underline{ \underline{ \purple \longmapsto \pink{ \tt \:CO=4}}}}[/tex]
#19[tex] \purple \longmapsto \pink{ \tt \: PY = 3m + 37}[/tex]
[tex] \purple \longmapsto \pink{ \tt \: PY = 3(7) + 37}[/tex]
[tex] \purple \longmapsto \pink{ \tt \: PY = 21 + 37}[/tex]
[tex] \boxed{ \underline{ \underline{ \purple \longmapsto \pink{ \tt \:PY=58}}}}[/tex]
H 18. Of the 650 students at Westmoreland Junior High, 4 will receive a perfect attendance award. How many students will receive the award?
The number of students that will receive the attendance award is 26. The correct option is a.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
We must first ascertain how many students will be recognized. We can achieve this by dividing the overall number of students (650) by the proportion of recipients (4%). 650 x 0.04 = 26 Hence, 26 kids will be recognized for their flawless attendance.
According to the given conditions, 650 students and 4 will receive a perfect attendance award.
650 x 4% = 26
Therefore, the correct option is a, 26.
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The options are:
26
25
24
23
a new car wash business records the number of cars it washes everyday for the first 7 days the business is open. The data are shown on the table.
DAY | NUMBER OF CARS WASHED
1 | 41
2 | 44
3 | 48
4 | 52
5 | 57
6 | 56
7 | 57
The car wash owner uses the equation y = x + 44 to model the data, where x represents the number of days the business has been open and y represents the number of cars washed.
Which explanation BEST describes whether the equation is a good fit for the data?
A) The equation is a good fit because the residual points are approximately linear
B) The equation is a good fit because the residual points have a positive association
C) The equation is not a good fit because a residual plot with the data set indicates a bad fit
D) The equation is not a good fit because there should be an equal number of points below and above the x-axis in the residual plot
(I apologize if the formatting gets screwed when I post this)
The equation y = x + 44 is not a good fit for the data because a residual plot with the data set indicates a bad fit. So, the correct answer is the equation is not a good fit because a residual plot with the data set indicates a bad fit
What does it mean if a residual plot shows a clear pattern in the residuals?If a residual plot shows a clear pattern in the residuals, it indicates that the model or regression line may not be fitting the data well.
In other words, there may be a problem with the model fit, and further investigation is needed to improve the accuracy of the model.
Why are residual plots important in regression analysis?Residual plots are important in regression analysis because they allow us to check the assumptions of the model and diagnose problems with the model fit.
They also help us identify outliers and influential data points, which can have a significant impact on the accuracy of the model.
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Which of the following has the correct factored form AND the correct
solutions for the quadratic equation?
x²2x-3=0
(x − 1) (x+3) = 0 AND x = −1 and x = 3
(x + 1) (x − 3) = 0 AND x = −1 and x = 3
(x − 1) (x+3) = 0 AND x = 1 and x = −3
(x + 1)(x-3) = 0 AND x = 1 and x = −3
x²=22.136
Its the last one
PLS COMPLETE ALL OF IT!! 50 POINTS!
A. The length of the cord needed to reach corner C is 17.6 m
B. The distance between the electrical outlet and corner N is 14.3 m
A. How do i determine the length of cord needed?The length of the cord needed can be obtained as follow:
Length BC = Opposite = 8 mAngle (θ) = 27°Length of cord =?Sine θ = opposite / hypotenuse
Sine 27 = 8 / Length of cord
Cross multiply
Length of cord × sine 27 = 8
Divide both sides by sine 27
Length of cord = 8 / sine 27
Length of cord = 17.6 m
B. How do i determine the distance between electrical outlet and corner NFirst, we shall determine the length OB. Details below:
Angle (θ) = 27°Length BC = Opposite = 8 mLength OB =?Tan θ = Opposite / Adjacent
Tan 27 = 8 / Length OB
Cross multiply
Length OB × tan 27 = 8
Divide both sides by tan 27
Length OB = 8 / tan 27
Length OB = 15.7 m
Finally, we shall determine the distance between the electrical outlet and corner N. Details below:
Length OB = 15.7 mLength BN = 30 mLength ON = Distance =?Length BN = Length OB + Length ON
30 = 15.7 + Distance
Collect like terms
Distance = 30 - 15.7
Distance = 14.3 m
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Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by
D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g
what is the equilibrium quantity?
If Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g. The equilibrium quantity is 40 units.
How to find the equilibrium quantity?Given the demand function D(q) = 80 - 1.25q and the supply function S(q) = 0.75q, we can find the equilibrium quantity by setting these two functions equal to each other and solving for q:
D(q) = S(q)
80 - 1.25q = 0.75q
Simplifying this equation, we get:
2q = 80
q = 40
Therefore, the equilibrium quantity is q = 40. At this quantity, the quantity demanded is:
D(q) = 80 - 1.25q = 80 - 1.25(40) = 30
And the quantity supplied is:
S(q) = 0.75q = 0.75(40) = 30
Thus, the equilibrium quantity of Jake's wooden figurines is 40 units.
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Calculate the cost to treat one person who has TB if it costs R84 724 707 to treat 53 642 infected people. Give your answer correct to 2 decimal places.
The cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
What is total cost?Total cost refers to the sum of all expenses incurred in producing a product or providing a service. It includes both the fixed costs (costs that remain constant regardless of the level of output) and variable costs (costs that vary with the level of output)
According to question:To calculate the cost to treat one person who has TB, we need to divide the total cost of treating all infected people by the number of infected people:
Cost to treat one person = Total cost of treatment / Number of infected people
Plugging in the given values, we get:
Cost to treat one person = R84,724,707 / 53,642
Cost to treat one person = R1,579.82
Therefore, the cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
A circle is shown. Points X and Z are on one side of the circle, and point Y is on the other. Lines are drawn from point Y to point X and from point Y to point Z to form angle X Y Z. Arc X Z is 86 degrees.
What is the measure of ∠Y?
43°
68°
86°
172°
The measure οf ∠Y is 51 degrees.
What is Inscribed AngIe?An inscribed angIe in a circIe is an angIe fοrmed by twο chοrds in the circIe that have a cοmmοn endpοint, with the vertex οf the angIe οn the circIe. The measure οf the inscribed angIe is haIf the measure οf the intercepted arc that Iies inside the angIe.
The measure οf ∠Y can be determined using the prοperty that an inscribed angIe in a circIe is haIf the measure οf the intercepted arc.
Since the arc XZ is 86 degrees, the measure οf the inscribed angIe XYZ is 86/2 = 43 degrees.
AngIe X Y Z is the sum οf angIes XYZ and YXZ. Let's caII the measure οf angIe YXZ as α.
AngIe X Y Z = ∠XYZ + ∠YXZ
∠Y = 180° - ∠XYZ - ∠YXZ = 180° - 43° - α
Nοw, the angIe α is the exteriοr angIe οf triangIe YXZ, and it is equaI tο the sum οf the οppοsite interiοr angIes, XYZ and YXZ.
α = ∠XYZ + ∠YXZ
α = 43° + α/2
SοIving fοr α, we get:
α = 86°
Substituting α = 86° in the expressiοn fοr ∠Y, we get:
∠Y = 180° - 43° - 86° = 51°
Therefοre, the measure οf ∠Y is 51 degrees.
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-15>-11+w solve inequality for W
Answer:
Starting with:
-15 > -11 + w
Add 11 to both sides:
-15 + 11 > w
Simplifying:
-4 > w
Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:
w < -4
4
Select the correct answer from each drop-down menu.
Spencer is gathering statistical information to learn more about how study habits affect test scores.
Complete the statements below to show that Spencer collected data from three statistical questions.
Spencer asked students in his biology class
He then asked
He also asked about
Reset
Next
Answer: b
Step-by-step explanation:
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Using functions,
Part A: f (3) = 6(3) + 14 = 32.
g (3) = 3 + 2 = 5
Part B: (f/g) (3) will be 6.4.
What are functions?The core concept of calculus in mathematics is a function. The relations are certain kinds of the functions. In mathematics, a function is a rule that produces a different result for every input x. In mathematics, a function is represented by a mapping or transformation. Letters like f, g, and h are widely used to indicate these operations. The set of all potential values that can be passed into a function while it is specified is known as the domain. The entire set of values that the function's output is capable of creating is referred to as the "range." The range of potential values for a function's outputs is known as the co-domain.
Here in the question,
f (x) = 6x + 14
g (x) = x + 2
Now we have to find for the value of x,
f (3) = 6(3) + 14 = 32.
g (3) = 3 + 2 = 5
So, f (3) = 32 and g (3) = 5.
Now,
(f/g) (3) will be 32/5 = 6.4.
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Vertical/Adjacent/Complementary Angles L2
The missing angles in the diagram are: Angle ABD = 60 degrees, Angle BDC = 120 degrees, Angle ACD = 60 degrees, and Angle ADC = 120 degrees.
To find the measure of the missing angles, we can use the fact that the sum of the angles in a triangle is 180 degrees, and the sum of the angles around a point is 360 degrees.
Let x be the measure of angle ABD.
Therefore, angle BDC has measure 180 - x degrees.
Similarly, angle ACD and angle ADC form a straight line, so their measures sum to 180 degrees. Therefore, angle ADC has measure 180 - 60 = 120 degrees.
Finally, since angle BCD and angle ADC form a straight line, their measures sum to 180 degrees. Therefore, angle BCD has measure 180 - 120 = 60 degrees.
Let y be the measure of angle CFE.
Similarly, angle DEF and angle CDF form a straight line, so their measures sum to 180 degrees. Therefore, angle DEF has measure 180 - 75 = 105 degrees.
Finally, since angle CDE and angle DEF form a straight line, their measures sum to 180 degrees. Therefore, angle CDE has measure 180 - 105 = 75 degrees.
Therefore, the missing angles have measures of 60 degrees and 75 degrees for the left and right triangles.
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find the measure of missing angles?
In the figure shown determine the measure of each missing angle. Show your work.
To find the value of the angles we must take as reference the angles that have their value.
How to find the value of the missing angles?To find the value of the missing angles we must take as reference the angles that are labeled with their value. Additionally, we must take into account that the internal angles of a triangle must add up to 180° and the angles of a straight line are 180°. According to the above, the missing angles are:
ABC = 55°ABH = 125°IHJ = 90°JHK = 60°BHD = 50°DBH = 55°HDB = 75°BDE = 105°HDF = 105°EDF = 75°DFG = 145°Learn more about angles in: https://brainly.com/question/28451077
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An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of 8 m and a depth of 1.2 m.
Suppose water is pumped into the pool at a rate of 11 m per hour. How many hours will it take to fill the empty pool?
Use the value 3.14 for , and round your answer to the nearest hour. Do not round any intermediate computations.
hour(s)
Answer:
5.5 hours
Step-by-step explanation:
Volume of a cylinder = π(d/2)²h
V = (3.14)(8/2)²(1.2) = 60.288 m³
fill rate = 11 m³/hr
time to fill the pool = (60.288 m³)(1 hr/11 m³) = 5.48 hr ≈ 5.5 hrs
If -26+z=15,what is the value is z?
Answer: 41
Step-by-step explanation:
-26+z =1 5
z= 15+26
z= 41
Answer:
z = 41
Step-by-step explanation:
-26 + z = 15. | + 26
-26 + z + 26 = 15 + 26
z = 41
the running club has $1,328 to spend on new uniform. of each uniform cost $52 how many uniforms can they buy?
Answer: The running club can buy 25 uniforms
Step-by-step explanation: If the running club has $1,328 to spend on new uniforms and each uniform costs $52, we can find the number of uniforms they can buy by dividing the total amount of money by the cost of each uniform:
$1,328 ÷ $52 = 25.54
Therefore, the running club can buy 25 uniforms with $1,328.
I hope this helps, and have a great day!
determine what type of transformation is represented
The type of transformation represented in the figure is the translation transformation i.e. (c) none of these
Identifying the type of transformation representedGiven the triangles ABC and A'B'C'
The transformation between the triangles is translation
The translation transformation is a type of transformation that moves an object without changing its size, shape, or orientation.
This transformation involves sliding an object in a particular direction by a certain distance, either horizontally or vertically.
In this case, the direction is horizontally and vertically
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How many solutions and what is the solution? please help
One solution: (6,2)
Step-by-step explanation:Systems of equations are a set of equations that share variables.
Number of Solutions
There are multiple ways to find the number of solutions to a system of equations. Firstly, if 2 lines are parallel, then there will never be a point that satisfies both equations. This means that there will be no solutions. If 2 equations create the same line, then there will be infinitely solutions. Lastly, if there are 2 linear lines that are not parallel or the same, then they will have exactly one solution.
Solving Systems of Equation
The solution to a system of equations is the point that makes both equations true. When looking at a graph, the solution to a system of equations will be where the lines intersect. In this question, the lines intersect at (6,2). This means the solution to the system of equations is (6,2).
explain how you can find the difference between the most common and least common amounts on a line plot
who ever gets this right is the brainlest in the Universe
Therefore, the difference between the most common and least common amounts on the line plot is 8.
What is least common?"Least common" refers to the item or value that appears the fewest number of times in a given set or group. For example, if you have a set of numbers {2, 4, 2, 5, 3, 4, 1}, the least common number in the set is 1 because it appears only once, while the most common number is 2 and 4 because they both appear twice. In a line plot, the least common amount is the one that appears the fewest number of times on the p.
Given by the question.
To find the difference between the most common and least common amounts on a line plot, follow these steps:
Look at the line plot and identify the most common amount. This is the amount that appears the most frequently on the plot.
Look at the line plot and identify the least common amount. This is the amount that appears the least frequently on the plot.
Subtract the least common amount from the most common amount. The result will be the difference between the most common and least common amounts on the line plot.
For example, if the most common amount on the line plot is 10 and the least common amount is 2, then the difference would be:
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2 fifths +1 fifths -3 tenths pls help its for 15 pts
Answer:3/10
Step-by-step explanation:
2/5 = 4/10
1/5 = 2/10
4/10 + 2/10 = 6/10
6/10-3/10 = 3/10
Kara bought two birthday gifts for her twin nephews. Each gift cost $12.50. Sales tax was 6.75. What was the total cost for the gifts, including tax?
Answer:
if sales tax was 6.75 dollars, then 31.75 is the total cost. If it’s in percent, the total cost is 26.69
Step-by-step explanation:
1). 12.5(2) = 25
2). 25 + 6.25 = 31.25
OR
2). 25(1.0675)=26.69
Seven more than the quotient of a number and 3 is 10? What is the number?
The number is 9.
Which one of the three types of equations are they?The three main types of linear equations are the standard form, the point-slope form, and the slope-intercept form.
We can begin by converting the following phrase into an equation:
The formula for "seven bigger than the product of a number and three" is as follows:
x/3 + 7
where x stands in for the unidentified number.
Seven more than the result of a number and three equals 10, according to the following formula.
x/3 + 7 = 10
When you take 7 out of both sides of the equation, you get:
x/3 = 3
When both sides of the equation are multiplied by 3, the result is:
x = 9
Hence, the answer is 9.
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2. Evaluate the logarithmic expression using properties of logs and the change of base formula
Expression
a. log5.625
b. log6.4 +log6.12
c. log3.9^4
(i put a period after a imaginary number)
The expressions can be written as :a. log5.625 ≈ 0.75.
b. log6.4 + log6.12 ≈ 1.67.
c. log3.9^{4} ≈ 2.47.
What is logarithm function?
A logarithm function is a mathematical function that determines the power to which a fixed number, called the base, must be raised to produce a given value and The logarithm function is the inverse of the exponential function. The most commonly used base for logarithmic functions is 10 (log base 10), but other bases such as 2 (log base 2) and the natural logarithm base e (ln) are also used.
a. Since there is no base specified, we assume the base to be 10 by default. Therefore, we can write:
log5.625 = log(5625/1000)
Using the property log(a/b) = log(a) - log(b), we can simplify this expression to:
log5.625 = log(5625) - log(1000)
Using the change of base formula, we can convert the logs to a common base, such as 2 or e:
log5.625 = log(5625)/log(10) - log(1000)/log(10)
Evaluating the logs using a calculator or by simplifying, we get:
log5.625 ≈ 0.75
Therefore, log5.625 ≈ 0.75.
b. Using the property log(a) + log(b) = log(ab), we can simplify the expression:
log6.4 + log6.12 = log(6.4 × 6.12)
Using the change of base formula, we can convert this to a common base:
log6.4 + log6.12 = log(6.4 × 6.12)/log(10)
Evaluating the log using a calculator or by multiplying 6.4 and 6.12 and simplifying, we get:
log6.4 + log6.12 ≈ 1.67
Therefore, log6.4 + log6.12 ≈ 1.67.
c. Using the property log(a^{n}) = n log(a), we can simplify the expression:
log3.9^{4} = 4 log3.9
Using the change of base formula, we can convert this to a common base:
log3.9^{4} = 4 log(3.9)/log(10)
Evaluating the log using a calculator or by simplifying, we get:
log3.9^{4} ≈ 2.47
Therefore, log3.9^{4} ≈ 2.47.
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A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000−2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each. d. At what price should the company sell their phones to get the maximum revenue? Type the answer in the box below
Tο maximize its prοfits, the cοrpοratiοn shοuld thus sell the phοnes fοr $250 as the value οf x that οptimizes the functiοn [tex]r(x) = x[/tex].
What is functiοn ?A functiοn in mathematics is a principle οr cοnnectiοn that links οne input value tο οne οutput value. A functiοn, in mοre technical terms, is a cοllectiοn οf οrdered pairs (x, y) where there is precisely οne y fοr every x.
The argument οr independent variable is the input value x, and the value οr dependent variable is the οutput value y. Algebraic equatiοns, tables, diagrams, and verbal explanatiοns are just a few οf the nοtatiοns that can be used tο represent functiοns.
Finding the value οf x that οptimizes the functiοn r(x) = x will help us determine the price that will generate the mοst prοfit (1000 - 2x).
We can start by simplifying and expanding this functiοn:
[tex]r(x) = 1000x - 2x^2[/tex]
We can nοw take the derivative οf this functiοn with respect tο x and put it equal tο zerο in οrder tο determine the highest value οf r(x):
[tex]r'(x) = 1000 - 4x = 0[/tex]
After finding x, we οbtain:
[tex]x = 250[/tex]
Tο maximize its prοfits, the cοrpοratiοn shοuld thus sell the phοnes fοr $250.
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How much bigger is the 5 in 35.76 than the 5 in 26.95
The five in 35.76 is 100 times bigger than the five in 26.95.
How to compare the place values?Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.
To compare them we need to compare the place value in which each five is.
To compare them, just write the numbers but replacing all the other values by zeros:
35.76 = 05.00 = 5
26.95 = 00.05 = 0.05
Now take the quotient of these two, we will get:
5/0.05 = 100
Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.
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Dylan claims that the coordinates of the center of dilation are (4.8, 3.2). He explains that to locate the center of dilation, he first joins P and P ’. Then, he marks a point X on line segment PP’ such that PX : XP’ = 1 : 4, since the scale factor of dilation is 4. Finally, he reads off point X from the coordinate plane, and concludes that point X has coordinates (4.8, 3.2).
Part A:
Explain how you know that Dylan’s claim is wrong in the space below. What is the location of the center of dilation (x,y)?
Part B:
What is the location of the center of dilation (x,y)?
I need help quick this is for a test
The correct coordinates of the center of dilation are (2.8, 3.8).
What is dilation?
In geometry, dilation is a transformation that changes the size of an object. When a figure is dilated, each point of the original figure is moved away from or toward the center of dilation.
Dylan's claim is incorrect because the center of dilation is not necessarily located on the line segment PP'.
To find the center of dilation, we need to locate the image point of a known point after dilation.
Let's consider a point Q on the same line as PP', but on the other side of P', such that PQ = 1 unit. After dilation with a scale factor of 4, the image of Q will be on the line passing through P and P'. Let's denote this image point by Q'.
Since PQ : P'Q' = 1 : 4, the distance from P to Q' is 4 units. Similarly, since PP' : PQ' = 1 : 5, the distance from P to Q' is 5 times the distance from P to P'. Thus, the distance from P to P' is 1 unit and the distance from P to Q' is 5 units.
Therefore, the center of dilation is located on the line passing through P and Q', and is 4 units away from P and 1 unit away from Q'.
Using the midpoint formula, we can find the coordinates of the center of dilation:
[tex]x &= \frac{1}{2}(4.8 + 0.8)[/tex]
[tex]&= 2.8[/tex]
[tex]y &= \frac{1}{2}(3.2 + 4.4)[/tex]
[tex]&= 3.8[/tex]
Thus, the correct coordinates of the center of dilation are (2.8, 3.8).
To learn more about dilation visit:
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i dont get it help me
Answer:
y=2x+10
Explanation: They start with paying $10 and have to pay and extra $2 for each time at the concession stand.