Answer:
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
Step-by-step explanation:
let D be the line that passes through the points (6, -1) and (-6, 2)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]
Since the point (6 , -1) lies on the line D then :
-1 = (-1/4) × (6) + b
then
-1 = (-6/4) + b
then
b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2
then
b = 1/2
Conclusion:
Since a = -1/4 and b = 1/2 then
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
Square A′B′C′D′ is a dilation of square ABCD.
What is the scale factor?
Enter your answer in the box.
Note: Images may not be drawn to scale
Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4
Answer:
3,295.4
Step-by-step explanation:
to the nearest tenth is 3,295.4
If two angles are complementary and one of the angles measures 27°, what does the other angle measure?
73°
153°
63°
27°
39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2
을
B
2
9
.
с
2
9
IN
9
2
Answer:
For B it is A92B but for a
Step-by-step explanation:
I got it right on my test!
What is 2736÷61 step-by-step
Answer: 44.85 in decimal and 44 Rem 52
Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal
Find the domain of the rational function below.
f(x)=(x+2)(x-1)/(x-3)(x+2)
Answer:
Domain: { x ∈ R | x ≠ -2, 3 }
Step-by-step explanation:
[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]
The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0. Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.
The denominator for the given function is [tex](x - 3)(x + 2)[/tex]
[tex]\implies (x - 3)(x + 2)=0[/tex]
[tex]\implies (x - 3)=0\implies x=3[/tex]
[tex]\implies (x + 2)=0 \implies x=-2[/tex]
There will be a hole at x = -2 and an asymptote at x = 3.
So the values of x that need to be excluded from the domain are:
x = 3 and x = -2
Therefore, the domain of the given rational function is: { x ∈ R | x ≠ -2, 3 }
Help me please! Brainliest?
Answer:
D. Neither A not B is true.
Step-by-step explanation:
The solutions of the equations are none among the given answers..So, it's neither a not b.
You have marked the right option:D
Hope it helps:)
Find the slope of the line passes through the points (2, 5) and (9, 8).
A. 1/7
B.2/7
C. 3/7
D.8/7
Step by Step Explanation:
Given:line passing through points (2,5) and (9,8)To find: Slope of the lineSolution:-
Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-
[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]
where,
x₁ = 2
x₂ = 9
y₁ = 5
y₂ = 8
Therefore putting the values , we get
[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]
Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.
Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?
[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]
in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study neither .One quarter of those who study spanish also study french.The total number who atudy french is 10 fewer than those who study spanish only .what percent of student study french only
Answer:
1900
Step-by-step explanation:
i took the est
Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2
The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
Juanita begins to factor an expression as shown.
[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]
To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,
[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]
Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.
Learn more about factor of polynomial here;
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175 miles in 4 hours in unit rate pls help me
Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0
The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The solutions are given below.
[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]
2) x² + 3x + 12 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]
3) x² + 3x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Why is the interest rate one of the biggest factors when calculating the financial charges on credit cards?
Answer:
Interest rate is one of the biggest factors in calculating finance charges because the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.A college professor wants to survey a sample of students taking his course. Here are some details about his course:
He teaches 5 sections of the course.
There are 250 total students across those sections.
There are 50 graduate students and 200 undergraduate students taking the course.
Each section has about 50 students (some graduate and some undergraduate).
The professor wants to take a sample of 30 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account. Which of these strategies will accomplish his intended design?
a. Randomly select 6 students from each section for the survey.
b. Randomly select 6 graduate students and 24 undergraduate students for the survey
c. For each section, randomly select one of the first 8 students to arrive to class, and every 8th student thereafter to take the survey.
d. Randomly select one of the sections and give the survey to every student in that section
Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.
Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.
Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.
Answer:
Step-by-step explanation:
B
How do geometric functions differ from algebraic functions?
Answer:
Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.
ANSWER THIS TO GET 23 POINTS AND BRAINLIEST
Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.
I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).
The traditional interest formula is I = (P)(R)(N).
P = the original amount of money given
R = interest rate
N = the amount of time
I hope this answers your question (and that I understood the question correctly!).
-Toremi
What is the exact decimal equivalent of 7 half’s 12
The decimal equivalent of 7 half’s is the number in decimal form
The exact decimal equivalent of 7 half’s is 3.5
What is a decimal number?A decimal number is a number represented by an integer and a fractional part
How to determine the decimal equivalant?The number is given as:
7 halves
Express as product
7 * 1/2
Evaluate the product
3.5
Hence, the exact decimal equivalent of 7 half’s is 3.5
Read more about decimals at:
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How is adding and
subtrading decimas
Similar tooro different
from adding and subtrocling
whole numbers
Date:
Bell:
Unit 11: Volume & Surface Area
Homework 8: Volume of Pyramids &
** This is a 2-page document. **
Directions: Find the volume of each figure, Round to the nearest hundredth when necessi
1.
2. 3 km
22 cm
14 cm
8 km
14 cm
1/3 (314)
75. 3
3.
4.
-8 ft
5. 7 yd -
3,74
12 ft
23 ya
9 yd
The volume of any shape is the amount of space in it.
The volume of the cylinder is 1570 square units
How to determine the volume?The question is incomplete. Assume the following parameters
Shape = Cylinder
Radius, r = 10
Height, h = 5.
The volume of a cylinder is:
V = πr^2h
So, we have:
V = 3.14 * 10^2 * 5
Evaluate the product
V = 1570
Using the assumed values, the volume of the cylinder is 1570 square units
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the histogram shows the number of minutes that users waited to register for classes on a university's online system. how many users are represented on the histogram
5 red, 4 yellow, 9 blue, 2 pink, 4 purple
5 + 4 + 9 + 2 + 4 = 24 people
Calculate persons of each color
Red=5Yellow=4Blue=9Pink=2Purple=4Total:&
5+4+9+2+4=24What is the probability of picking a 5 and then picking a 2
Answer:
I cannot answer this question because it is not complete. Please use complete sentences and questions.
Charlie cell phone cost $50 each month plus $0. 05 per text message. His budget is no more than $75 a month. How many text can be send?
Answer:
500
Step-by-step explanation:
let's say charlie sends x messages per month
he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.
as an equation, this is
50 + 0.05 x ≤ 75
subtract both sides by 50 to isolate the variable and its coefficient
0.05 x ≤ 25
multiply both sides by 1/0.05 to isolate x
x ≤ 500
the maximum is therefore x = 500 messages
A square has a side length of 22 meters.
What is the area of this square
Answer:
484 meters squared
Step-by-step explanation:
Area is Length times Width.
You're dealing with a square meaning all sides are equal.
You simply need to do 22m x 22m = 484m squared
A bodybuilder gains 1.5 pounds each week for 5 weeks. Which equation represents the change in the bodybuilder's weight after the 5 weeks?
Answer:
Step-by-step explanation:
The bodybuilder gains 1.5 each week for 5 weeks.
If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?
1.5 * 5 = 7.5
The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car
The amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
Monthly installementa. Monthly installment
2 1/2 years=30 months
First step
Amount payable=[49,500×(1-.30)] /30 months
Amount payable=(49,500×.70)/30 months
Amount payable=$34,650/30 months
Amount payable=$1,155
Second step
Amount of monthly installment=[$1,155×(1+0.12)
Amount of monthly installment=$1,155×1.12
Amount of monthly installment=$1,293.6
Amount of monthly installment=$1,294 (Approximately)
b. Hire purchase
Hire purchase=$1,155×.12×30 months
Hire purchase=$4,158
Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
Learn more about monthly installment here:https://brainly.com/question/2151013
#SPJ1
1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
lesson 10.2 area of composite figures worksheet assigment
The composite figure includes a rectangle and trapezoid
The area of the composite figure is 810.5cm².
How to determine the area?From the complete question, we have the following parameters:
Shapes: Rectangle and trapezoid
The area of the rectangle is:
Area = Length × Width
So, we have:
Area = 15 × 23
Area = 345cm²
The area of the trapezium
Area = 0.5 × (a + b) ×h
So, we have:
Area = 0.5 × (15 + 34) × 19
Area = 0.5 × 49 × 19
Area = 465.5cm²
Add both areas to calculate the area of the composite figure
Total area = 345cm² + 465.5cm²
Total area = 810.5cm²
Hence, the area of the composite figure is 810.5cm².
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Find the value of x in the triangle shown below.
O
C =
3.5
4
xº
55°
3.5
Answer:
okay so the answer is 70°
Step-by-step explanation:
the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right
[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]
i need help with algebra need asap