Answer:
1) y=-11x-50 2)y=-8x+16
Step-by-step explanation:
1. y=mx+b- it is the main equation for a line'
If we take the first point and use its coordinates we have -6=-4m+b
If we take the second point and use its coordinates we have 5=5m+b
These equations are simultaneous for our line because the line passes through both points
-6=-4m+b
5=-5m+b
If subtract the second one from the first equation
-6-5= -4m+b- (-5m+b)
-11= m
b= -6-44=-50
y=-11x-50
2) y=mx+b
-8=-8*3+b
b=16
y=-8x+16
Evaluate the expression -125 1/3
Answer:
Exact form: - 125/3
Decimal form: - 41.6
Mixed number form: - 41 ⅔
I hope I've helped
PLEASE HELP
Condense to a single logarithm: ln x +ln y − z
Question 12 options:
A) ln (x + y – z )
B) ln xy∕z
C) (ln x)(ln y∕z)
D) ln xy∕ ln z
Answer:
It is B
Step-by-step explanation:
[tex] ln(x) + ln(y) - ln(z) [/tex]
from law of logarithms:
[tex]{ \bf{ ln(a) + ln(b) = ln(ab) }} \\ and \\ { \bf{ ln(a) - ln(b) = ln( \frac{a}{b} ) }}[/tex]
so, in the question:
[tex] ln(x) + ln(y) - ln(z) \\ \\ = \{ ln(xy) - ln(z) \} \\ \\ = ln( \frac{xy}{z} ) [/tex]
The required logarithmic expression is ln(xy/z). Option B is correct.
Given that
To simplify ln x + ln y + ln z
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
A logarithmic function can be defined as the function inverse of the exponential function is a logarithmic function.
In the question, an algebraic expression of the log function is given a simplified form of the expression to be determined using the logarithmic property.
Simplification,
= ln x +ln y + ln z
Since log A + log B = log(A.B)
and log A - logB = log(A/B)
From above properties
= ln (x . y) - ln z
= ln [(x. y )/z]
Thus, the required logarithmic expression is ln(xy/z). Option B is correct.
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what is the common factor [tex]4x^{2} -18x[/tex]
Answer:
2x(2x-9)
Step-by-step explanation:
2x is the factor.
. Describe a process you would use to create the perpendicular bisector to a segment AB using
only an unmarked straightedge and an unmarked compass.
WILL MARK BRAINIEST!!!
The perpendicular bisector on a line segment AB is in the attached image.
Given:
Segment ABTo Construct:
The perpendicular bisector to segment AB.Solution:
A segment is a line with two ends with a specific length.
A perpendicular bisector is a line intersecting the other line segment into two equal lengtsh at an angle of 90 degrees.
Steps of construction:
With help of unmarked straightedge draw segment,AB.Open the compass more than half of the length of the AB segment and from point A, draw an arc above and below AB.Now, with that same compass from B draw arcs cutting the previous arcs made above and below the AB label them C and D.Draw a straight line from C to D which will be the perpendiular bisector of segemnt AB.The perpendicular bisector to a segment AB is in the image attached.
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Answer:
Step-by-step explanation:
To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.
1> You start by opening the compass and stretching it to a width greater than half the length of AB.
2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.
3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.
4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.
and that should be your perpendicular bisector using segment AB.
help plsssssssssssss
Answer:
D [tex]\sqrt{43}[/tex] is the right answer
Step-by-step explanation:
I. If Number is devided by 4 or 25%
25% + 25% is 50%
50% = [tex]\frac{50}{100}[/tex] is 0.5
II. When 6 + 0.5 = 6.5
Use calculator the nearlest value is [tex]\sqrt{43}[/tex]
[tex]\sqrt{43}[/tex] = 6.557
So we'll pick D.choice
Hope that help :D
Please help!! 7th grade math! will mark brainlist!!!
Answer:
A: rectangle
B: still a rectangle
Step-by-step explanation:
Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.
Hope this helps love <3
What is compound interest What is the difference between compounded monthly and
continuously
Answer:
compostion
Step-by-step explanation:
comPOSTION
for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of the vertext and why
Answer:
No... provided no other information or no graph is provided.
Step-by-step explanation:
You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.
However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.
All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.
So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.
y=a(47/2-12)(47/2-35)
I'm just going to put everything to right of a in calculator:
y=-529/4 ×a
So that's all the possible y-coordinates for the vertex.
Find the value of the hypotenuse in the following rectangle:
Answer:
I think c = 5,sorry if im wrong
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 3^2 = 25 and the square root of 25 is 5
Answer:
The hypotenuse is 5 meters.
Step-by-step explanation:
According to the Pythagorean Theorem, the sum of the squares or, in this case, triangles, of the lengths of the legs of a right triangle equals the square or triangle equals the square or triangle of the hypotenuse.
A= 4m
B= 3m
4 with exponent of 2 plus 3 with exponent of 2 will help you get your answer. 4 times 4 is 16 and 3 times 3 is 9. 16 plus 9 equals to 25 and find the square root of 25 which is 5 because 5 times 5 equals to 25. I hope this helps!
Simplify (3 + 6i) − (8 − 5i). (6 points)
−5+ i
6
16
−5 + 11i
the answer would be d !
−5 + 11i
Answer:d
Step-by-step explanation:
the answer would be d !
−5 + 11i
which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z
Step-by-step explanation:
Distributive Property
round off 1,246,193 to the nearest thousands
Answer:
1,246,193 rounded to the nearest thousands is 1,246,000
Because the digit next to the thousands place (The hundreds place) is less that 5, it is 1 therefore you keep the digit the same in the thousands place and make the rest a 0.
Answer:
1,246,000
Step-by-step explanation:
1,246,193
The 6 is in the thousands place
We look at the hundreds place
1 is in the hundreds place, Since it is 4 or less, we leave the thousands place alone.
1,246,000
Helppp please due tomorrow
Answer:
9
Step-by-step explanation:
since the side that was originally 2 is now six, it means that it tripled, and 3x3 is 9.
Find the length indicated
3. A student borrows £3500 to be repaid after 3 years. The lender quoted a flat rate of interest
of 6.25%. Calculate the total interest that should be paid.
Answer: The total interest is 656.25.
Step-by-step explanation:
T = 3yrs
P = 3500
R = 6.25%
I = PTR/100
= 3500*3*6.25/100
= 65625/100
= 656.25
HELP PLEASE ILL MARK BRAINLIEST
Answer:
B. [tex]\frac{3+\sqrt{29} }{2}[/tex]
Step-by-step explanation:
[tex]\frac{-(-3)\sqrt{(-3^2-4(1)(5)} }{(2)(1)}[/tex]
[tex]=\frac{-(-3)+\sqrt{29} }{2}[/tex]
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
Step-by-step explanation:
A number is multiplied by 8 = 8x
8x + 2
8x + 2 = 42 Subtract 2 from both sides
- 2 -2
8x = 40 Divide by 8
x = 40/8
x = 5
5 increased by the product of 2 and t
Answer:
Step-by-step explanation:
increased means add.
5 + 2*t
Write the integer that represents the situation. °F represents the change The temperature was 15°F. It dropped so that the temperature was 0°F. in temperature. °F represents the change in temperature.
Hi there!
»»————- ★ ————-««
I believe your answer is:
-15
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The temperature dropped from 15°F to 0°F. The change was negative in value since it dropped to a lower temperature. The temperature dropped by 15 degrees, so we would fill in the blank with -15.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
mp+nq = 1 solve for q
Help please need to finish up this work soon!!
9514 1404 393
Answer:
x = 605π/12 ≈ 158.4
Step-by-step explanation:
To eliminate the denominator under the variable, multiply both sides of the equation by that value.
[tex]\dfrac{x}{\pi\cdot11^2}=\dfrac{15}{36}\\\\x\cdot\dfrac{\pi\cdot11^2}{\pi\cdot11^2}=\dfrac{5}{12}\cdot\pi\cdot11^2\\\\\boxed{x=\dfrac{605\pi}{12}\approx158.38863}[/tex]
2. A pipe is leaking at a rate of 8 fluid ounces per minute. Find out how many gallons the pipe is
leaking per hour.
Using dimensional analysis
Answer:
3.75
Step-by-step explanation:
8 fl x 60 ( minutes )= 48 fl oz
48 fl oz divided by 128= 3.75 gallons.
The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
6.0 cm
6.1 cm
8.4 cm
8.5 cm
Answer:
6.1 cm
Step-by-step explanation:
it depends on what your teacher told you and wants to see.
because, theoretically, it would be 6.0 cm. but that would render the whole triangle into a flat line, as the 2 equal sides together (2×6 = 12) would be exactly as long as the baseline (12) of the triangle.
which is again a theoretically possible construct (counting as extreme triangle).
but it is more likely that your teacher wants the definition applied that for each combination of 2 sides this combination has to be larger (and not larger or equal) than the third side.
so, the 2 equal sides have to be larger than 6 cm.
the smallest number in your answer options to fit that criteria is 6.1 cm
just FYI - your teacher was not very precise in the phrasing, because there are many numbers smaller than 6.1 that would still be correct.
like 6.01, or 6.005, ...
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.Thus, the answer is B) 6.1 cm.
In an acute isosceles triangle, the longest side is opposite the largest angle. Since the triangle is isosceles, the two congruent sides are equal in length.
In an acute triangle, the largest angle is less than 90 degrees. In an isosceles triangle, the two base angles are congruent. Therefore, each base angle must be less than 45 degrees.
Now, let's apply the triangle inequality theorem to determine the smallest possible length of one of the congruent sides. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side is 12 centimeters. Let's assume each of the congruent sides has a length of x centimeters.
Based on the triangle inequality theorem, we have the following inequality:
2x > 12
To find the smallest possible length, we divide both sides of the inequality by 2:
x > 6
Therefore, the smallest possible length of one of the two congruent sides is greater than 6 centimeters.
Rounded to the nearest tenth, the smallest possible length is 6.1 cm.
Thus, the answer is B) 6.1 cm.
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evaluate the expression for the given values of the variable.
Answer:
10
Step-by-step explanation:
we know that y=sqrt(7), so just plug it into the expression y^2 +3. now we have (sqrt(7))^2 +3, (sqrt(x))^2=x, so (sqrt(7))^2 +3= 7+3=10
A restaurant serves soda pop in cylindical pitchers that are 6 inches in diameter and 8 inches tall. if the pitcher has1-inch head of foam, how much soda is lost as a result? ( ROUND YOUR ANSWER TO TWO DECIMAL PLACES.)
Questions relating Word Problems can sometimes be resolved by taking note of the definition of given clues
The amount of soda lost is approximately 28.27 in.³
The reason the above value is correct is as follows:
The known parameters about the the soda pop served by the restaurant are;
Diameter of the cylindrical pitcher in which the soda pop is sold, D = 6 inches
The height of the cylindrical pitchers, h = 8 inches
Thickness of the head of foam in the pitchers, t = 1 inches
Required:
The amount of soda lost as a result of the head of foam
Method:
Define a pitcher
Calculate the volume occupied by the head of foam
Solution:
A pitcher holds drink and usually has a lip and handle, therefore, the drink is filled level with the pitcher
The volume occupied by the head of foam = The amount of soda lost
The volume occupied by the head of foam, [tex]\mathbf{V_{(head \ of \ foam)}}[/tex] = The volume of 1 inch height of the foam in the cylindrical pitcher
Volume in a cylinder = Base area × Height
[tex]\mathbf{Base \ area\ in \ a \ cylinder} =\dfrac{\pi \cdot D^2}{4}[/tex]
The height of the foam = The thickness of the foam = t
∴ [tex]V_{(head \ of \ foam)} =\mathbf{\dfrac{\pi \cdot D^2}{4} \times t}[/tex] =
Plugging in the values of D, and t, gives;
[tex]\mathbf{V_{(head \ of \ foam)}} =\dfrac{\pi \times (6 \ in.)^2}{4} \times 1 \ in. = \pi \mathbf{\times 9 \, in.^3}[/tex]
The volume of the head of foam, given to two decimal places is presented as follows;
[tex]V_{(head \ of \ foam)}[/tex] = π × 9 in.³ ≈ 28.27 in.³
The volume of the head of foam = The amount of soda lost ≈ 28.27 in.³
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What is the smallest 5 digit even number you can make using 1 2 3 4 5 6 7 8 9 only once
9514 1404 393
Answer:
10,000
Step-by-step explanation:
5(9·8·7·4 -2(6 +3 -1)) = 10,000 . . . . a 5-digit even number
for each value of determine whether it is a solution to 2x - 7 = -23
Answer:
x = -8
Step-by-step explanation:
-23 + 7 = -16
-16 ÷ 2 = -8
2 × -8 =-16 - 7 = -23
a cake is sliced into 12 equal pieces 1/2 of the cake is: slices
Answer:
6
Step-by-step explanation:
1/2 of 12
1/2×12
6
i hope this will help
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
A. Six hundred seventy-two thousandths < 0.8
B. 0.8 < six hundred seventy-two thousandths
C. Six hundred seventy-two thousandths = 0.8
D. Six hundred seventy-two thousandths > 0.8
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths = 0.672
0.672 < 0.8
largest 3 digit odd number
Answer:
999
Step-by-step explanation: