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liq [111]
3 years ago
13

Need help with dilation with a scale factor of 1/2 centered at (−1, 3)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

A scale factor of 1/2 makes the triangle half the size of the original.


The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.

It is 6 units long, so 1/2 would be 3 units long.


Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:


Midpoint ( -1-5/2 , 3+7/2)

Midpoint = (-6/2 , 10/2)

Midpoint = -3,5


This is where the top left corner of the scaled triangle would be.


See attached picture:


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Show your work and solve please!
bixtya [17]

Answer:

y = 3

Step-by-step explanation:

-5y + 8 = -7

subtract 8 from both sides

-5y = -15

now, divide -5 from both sides

y = 3

4 0
2 years ago
Read 2 more answers
Solve for X. -15=22x+7
tensa zangetsu [6.8K]

Answer:

x=-1

Step-by-step explanation:

-15=22x+7

Subtact 7 both sides

-15-7=22x+7-7

-22x=-22

Divide both sides by -22

-22x=-22

x=-1

5 0
3 years ago
Gabriel ran for 1 mile. Then he started jogging. He jogged for 250 feet. How many total feet did he run and jog?
Marizza181 [45]
1 mile is 5280 feet so when adding both 5,280 and 250 feet you get 5,530.
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=0.6%20%5Csqrt%7B33.54%7D%20" id="TexFormula1" title="0.6 \sqrt{33.54} " alt="0.6 \sqrt{33.54}
ki77a [65]

0.6\sqrt{33.54}

=5.79137

0.6*5.79137

=3.4

Hope this helps!

Thanks!

-Charlie

6 0
3 years ago
Consider the exponential function
evablogger [386]

<u>Given</u>:

The given function f(x)=19,000 \cdot 0.96 ^x which models the value of Mark’s car, where x represents the number of years since he purchased the car.

We need to determine the approximate value of Mark's car after 7 years.

<u>Value of the car:</u>

The value of the car after 7 years can be determined by substituting x = 7 in the function f(x)=19,000 \cdot 0.96 ^x, we get;

f(7)=19,000 \cdot 0.96 ^7

f(7)=19,000 \cdot 0.7514474781

f(7)=14277.502

Rounding off to the nearest dollar, we get;

f(7)=14278

Thus, the approximate value of Mark's car after 7 years is $14278.

Hence, Option a is the correct answer.

7 0
3 years ago
Read 2 more answers
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