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user100 [1]
3 years ago
7

A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

196 in²

Step-by-step explanation:

Given that the scale factor is a : b , then

the area factor is a² : b²

Here the scale factor is 1 : 7 , thus

area scale factor is 1² : 7² = 1 : 49

That is the area of the dilated square is 49 times the original square.

area of dilated square = 4 × 49 = 196 in²

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2 years ago
Can you help me solve this?
antiseptic1488 [7]

The required composite value f(g(-8) is 28

A composite function is a function inside another function. Given the following functions

f(x) = x² - 3x - 12

g(x) = -x - 12

Required composite function is f(g(-8))

First we need to get f(g(x))

f(g(x)) = f(-x-12)

f(-x-12) =  (-x-12)² - 3x - 12

Expand

f(-x-12) = x² +24x + 144 - 3x - 12

f(-x-12) = x² +21x + 132

f(g(x)) = x² +21x + 132

Substitute x = -8 into the result

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f(g(-8)) = 28

Hence the required composite value f(g(-8) is 28

Learn more here : brainly.com/question/3256461

8 0
2 years ago
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