Find the scale factor of the dilation

Mathematics

1 answer:

Eduardwww [97]2 years ago

8 0

Answer:

The scale factor is 1/2

Step-by-step explanation:

The coordinates of Point G are (4,6) and the coordinates of Point G' are (2,3). To get from 4 to 2 and 6 to 3, you have to multiply by 1/2. Therefore, the scale factor is 1/2.

You might be interested in

A coin bank has 250 coins dimes and quarters worth 39.25 how many of each type of coins are there?

Maurinko [17]

Set up a system of equations.

0.10d + 0.25q = 39.25
d + q = 250

Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

Distribute 0.10:

-0.10q + 25 + 0.25q = 39.25

Combine like terms:

0.15q + 25 = 39.25

Subtract 25 to both sides:

0.15q = 14.25

Divide 0.15 to both sides:

q = 95

Now plug this into any of the two equations to find 'd':

d + q = 250

d + 95 = 250

Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.

8 0

3 years ago

Read 2 more answers

What is the lateral surface area on a square pyramid with base edges of 10 and the height of 12

8_murik_8 [283]

Answer:

joe mama

Step-by-step explanation:

7 0

3 years ago

Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi

blsea [12.9K]

Answer:

In a nutshell, $g(x) = x+2$ .

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .

In a nutshell, $g(x) = x+2$ .

4 0

3 years ago

the doctor recommended that Matt increase the number of calories you consume from 2000 to 2800 by what percent did the number of

nikdorinn [45]

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before) = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase

To find percent increase, the formula used is:

$Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%$

Putting values in formula and finding percent increase

$Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%$