Rectangle ABCD is dilated with center at (0, 0) and scale factor 2. Select the three statements that are true about the dilation.

Rectangle ABCD Is Dilated With Center At (0, 0) And Scale Factor 2. Select The Three Statements That
Rectangle ABCD Is Dilated With Center At (0, 0) And Scale Factor 2. Select The Three Statements That

Answers

Answer 1

Answer:

Options (3), (4) and (6)

Step-by-step explanation:

Coordinates of the vertices of the given rectangle are,

A(1, 5), B(3, 2), C(-3, -2) and D(-5, 1)

When rectangle ABCD is dilated by a scale factor of 2 about the origin,

Rule to be followed for the dilation,

(x, y) → (2x, 2y)

Therefore, image of the rectangle ABCD will be,

A(1, 5) → A'(2, 10)

B(3, 2) → B'(6, 4)

C(-3, -2) → C'(-6, -4)

D(-5, 1) → D'(-10, 2)

- Hence point B' is located at (6, 4).

- Rectangle ABCD and A'B'C'D' are similar as all the angles of image will be same as the pre-image after rigid transformation (dilation).

- Let the equation of the line B'C' is,

 y = mx + b

 Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                  =  [tex]\frac{4-2}{6-3}[/tex]

                  = [tex]\frac{2}{3}[/tex]

 Since B'C' will pass through origin, y-intercept will be zero.

 Therefore, equation of B'C' will be,

  y = [tex]\frac{2}{3}x[/tex]

 Options (3), (4) and (6) are the correct options.

Answer 2

Answer:

well im confused but dont you have to find the prime too

Step-by-step explanation:


Related Questions

Convert to slope intercept form: 3x-4y=8 then graph the line on the grid

Answers

Answer:

y=3/4x-2

a=(8/3,0)

b=(0,-2)

m=3/4

Step-by-step explanation:

STEP 1

3x-4y =8 substract 3x from both sides

-4y=-3x+8 divide -4 to everything

y=3/4x-2

STEP 2

substitute 0 for y and solve for a (x-intercept)

Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the length in meters of Anita's kicthen

Answers

Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters

And, the width of her kitchen is 1 and 1 ÷ 2 meter

So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)

= 2 and 1 ÷ 2

Hence, the  length in meters of Anita's kitchen is  2 and  1 ÷ 2  

Determine the slope and y-intercept.

Answers

Answer: Your y-intercept form is -3 which is written b= -3

Your slope is 1/2 written like m= 1/2

Step-by-step explanation:  Here is the eqaution!

                                                          y=1/2x-3

I hope this helps

btw can i have brainliest?

Find the missing value in the ratio table.

Answers

100000000000000000000

Please help and explain how you got your answer I will give brainliest :(

Answers

Answer:

25/100 or 1/4

Step-by-step explanation:

the 2 shaded rows on the top are both 10 and the bottom shaded row is 5 so the equation would be 2×10+5

Answer:

0.25

Step-by-step explanation:

The model represents one whole number (1)

Each square represents .01 of the whole number.

So if you add all the shaded squares together, you would get 25 shaded, which means the answer would be 0.25

hope this helps :)

You pay 6% sales tax on a $250 purchase. How much was the tax?

Answers

Answer:

15

Step-by-step explanation:

To find the tax multiply the cost of the item by 6%

250 * 6%

Change to decimal form

250 *.06

15

Answer:

15

Step-by-step explanation:

convert the percentage to a decimal

6/100 = 0.06

then times by the number you given

6% x 250


Write an equation of the line that passes through (1, 2) and is perpendicular to the line y =1/3x + 4.

Answers

Answer:

y= -3x + 5

Step-by-step explanation:

negative reciprocial of the slope:

m=1/3

m=-3

Subsitube the point (1,2) into y=mx+b with new slope and solve for b:

y=mx+b

2=-3(1)+b

b=5

Equation:

y=-3x+5

2. Adam and Ben are both on diets. Adam currently weighs 210 pounds and is losing 3 pounds per
week. Ben currently weighs 146 pounds and is gaining 5 pounds per week. After how many
weeks will they weigh the same? Either write an equation and solve it, or make a table to come
up with the answer

Answers

It will take 8 weeks
It will take 8 weeks

Inflation and Interest Rates: Tutorial
22 of 25
Save & Exit
Question
Consider a simple economy where the basket of goods used to calculate the CPI contains two items shampoo and soap.
The basket consists of 1 bottle of shampoo and 2 bars of soap. The prices are shown in the table.
Year Price of a Bottle of Shampoo Price of a Bar of Soap
Year
36 50
$1.25
Year
$5.00
$1.30
Type the correct answer in the box. Round your answers to two decimal places, if necessary.
The CPI for year 2 is
Submit

Answers

Answer:102.22

Step-by-step explanation:

Answer:

2.22%

Step-by-step explanation:

Recall that year 1, the base year, has a CPI of 100.

From question 1, we know that the CPI of year 2 is 102.22.

To find the rate of inflation, find the percent change from year 1 to year 2:

102.22-100= 0.0222, or 2.22%

_________

    100

What is the correctly factors for the expression 24xy-15y

Answers

Answer:

4.0/5

Step-by-step explanation:

- She divided by 3 instead of the GCF.

- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

- She didn’t undistributed the GCF from the original expression.

The length of one side of a square is 3n+2. The perimeter of the square is 4(3n+2). Which expression is equivalent to the perimeter

Answers

Answer:

4(3n + 2)

Step-by-step explanation:

as we know perimeter of a square is 4 x side

one side is 3n + 2

4 sides = 4(3n +2)

I need help plz!!!!​

Answers

Proportional i think

In 8 years, Sophia's age will be 21 years old. Let x represent Sophia's current
age today.
a. Write an equation that can be used to find Sophia's age today (X). [1 point)
b. Solve for x to find Sophia's age. [1 point)

Answers

Answer:

a. x+8=21

b. x = 13

Step-by-step explanation:

Answer:

She is 13 years old

Step-by-step explanation:

x + 8 = 21

x = 13

Jason invests $325 in a bank account. The bank has an annual
interest rate of 24%. How much interest did his investment earn
after one year?

Answers

Use formula A = P(1+r) ^ t
P = 325, r = 0.24, t = 1
A = 325(1 + 0.24)
A = 325(1.24)
A = 403
He earns $403

The amount of interest earned by Jason is $78.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.

Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.

Given that Jason invests $325 in a bank account. The bank has an annual interest rate of 24%.

The interest will be calculated as:-

SI = ( P x R x T ) / 100

SI = ( 325 x 24 x 1 ) 100

SI = $78

Hence, the simple interest is $78.


To know more about simple interests follow

https://brainly.com/question/25793394

#SPJ2

Order the numbers from least to greatest.
4/5, -1.6, -4/3, 0.9, 2/3

PLS HELP

Answers

Answer:

-1,6<-4/3<2/3<4/5<0.9

Step-by-step explanation:

in the library, there are 9 rectangular tables with 8 pupils each and square tables with 4 pupils each. how many square tables ar needed so that 100 pupils can read at the same time?​

Answers

Answer:

9 rectangular tables and 7 sqaure tables

Step-by-step explanation:

9 x 8 = 72

100-72=28

4x7=28

The product of -5 and a number is at least -40

Answers

-5 • x ≥ -40

hope this helps and please mark brainliest

What is the mean of the set below? Round to the nearest tenths if need be. * Goals in a Hockey Game 2 3 3 3 4 5 5 5 5 6 7 8​

Answers

Answer:

5-

I think its 5...

x/-4 =9 i need help with this fraction.

Answers

Answer:

= -36

Step-by-step explanation:

um is this what your looking for?


A) complementary
B) alternate exterior
C) corresponding
D) linear pair

Answers

The answer is c) correponding
The answer is corresponding

I'll give brainliest if you answerrr! A seesaw is in balance when a weight times its distance on one side of the fulcrum is equal to another weight times its distance on the other side of the fulcrum. In the diagram, the 20-lb. weight is 5 feet from the fulcrum and another weight is 8 feet from the fulcrum. Using the in-balance seesaw shown, find the number of pounds in the weight represented by N.

Answers

Answer:

12.5

Step-by-step explanation:

The 20 lbs on the left side time the 5 feet is equal to 100.

You need the weight on the right side to equal 100 when it is multiplied to it's length from the fulcrum, which is 8.

All you need to do is divide 100 by 8, to get 12.5.

Evaluate the expression x(2y+3z) when x=8, y=3, and z=2.

Answers

Your answer would be 96.

x=8, y=3, z=2

8(2*3+3*2)
8(6+6) =96

PLEASE HELP ME QUICK A recipe calls for 4
cups of sugar and 16
cups of water. How
much water is needed
if you only have I cup
of sugar?

Answers

4 cups of water hope it helps

Answer:4

Step-by-step explanation:if you only have one cup of sugar you will have to propitiate the rest so just divide 16 by 4 to get 4

please help I need in within 5 minutes​

Answers

Answer:

2415.8

Step-by-step explanation:

Answer: 2509.8 i think that is the correct answer

Step-by-step explanation:

A hot air balloon is climbing at a constant rate into the sky. The equation y = 9x + 10 can be used to represent this situation, where y is the height of the hot air balloon in feet above ground and x is the number of seconds the balloon has been climbing.

Answers

Answer:

From the starting position of 10 feet above ground, the balloon is climbing 9 feet per second.

Step-by-step explanation:

What are the clear steps for solving for x question (5x + 2)

Answers

Answer:

x= -2/5

Step-by-step explanation:

(5x+2)=0

    -2   -2

5x=-2

------------

    5

x= -2/5

Here is some information from the practice round for several new Click Bots.

Determine the missing values. Enter them in the table.

Then describe your strategy.

Answers

Answer/Step-by-step explanation:

✅Azure:

Clicks = 17

Time (secs) = 2

Unit rate (clicks/sec) = [tex] \frac{17}{2} = 8.5 [/tex]

✅Bronze:

Clicks = 38

Time (secs) = 4

Unit rate (clicks/sec) = [tex] \frac{38}{4} = 9.5 [/tex]

✅Camson:

Clicks = 26

Time (secs) = ? = x

Unit rate (clicks/sec) = 10.4

Thus: [tex] \frac{26}{x} = 10.4 [/tex]

Multiply both sides by x

[tex] 26 = 10.4*x [/tex]

Divide both sides by 10.4

[tex] \frac{26}{10.4} = x [/tex]

[tex] 2.5 = x [/tex]

Time (secs) = x = 2.5

✅Desert:

Clicks = ? = x

Time (secs) = 4.2

Unit rate (clicks/sec) = 8.33

Thus: [tex] \frac{x}{4.2} = 8.33 [/tex]

Multiply both sides by 4.2

[tex] x = 8.33*4.2 [/tex]

[tex] x = 34.986 [/tex]

Clicks = x ≈ 35

✅ Emerald:

Clicks = 3

Time (secs) = ? = x

Unit rate (clicks/sec) = 7.5

Thus: [tex] \frac{3}{x} = 7.5 [/tex]

Multiply both sides by x

[tex] 3 = 7.5*x [/tex]

Divide both sides by 7.5

[tex] \frac{3}{7.5} = x [/tex]

[tex] 0.4 = x [/tex]

Time (secs) = x = 0.4

✅Fuschia:

Clicks = ? = x

Time (secs) = 0.75

Unit rate (clicks/sec) = 8

Thus: [tex] \frac{x}{0.75} = 8 [/tex]

Multiply both sides by 0.75

[tex] x = 8*0.75 [/tex]

[tex] x = 6 [/tex]

Clicks = x ≈ 6

Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students

Answers

Your answer is B or 130 students

X/4 -3 = 1/3 + 2x solve for x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{4}[/tex] - 3 = [tex]\frac{1}{3}[/tex] + 2x ...... (1)

(1) × 12 :

3x - 36 = 4 + 24x

21x = - 40

x = - [tex]\frac{40}{21}[/tex] = [tex]-1\frac{19}{21}[/tex]

Write an inequality for the following statement. A is greater than 7

Answers

Answer: A>7

Step-by-step explanation:

A > 7

i think this is right
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