1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
//
2.
6² + 8² = 100²
The wire must be 10 ft.
//
3.
7² + 14² = 245²
The rope is 15.65 ft.
//
4.
180² + 300² = 122400²
He ran 349.85 ft.
//
I'm not too sure about question 3.
12 - 23 = -11
-11 + 1,345 = 1,334
1,334/123 = 10.85
Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24
Area of two traingles = 2(24) = 48
Now, Area of a rectangle = 25 * 5 = 125
Now, Total area of the figure = 125 + 48 = 173 units2
In short, Your Answer would be Option A
Hope this helps!
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Answer:
A = -12
B = -8
C = -4
Step-by-step explanation:

x = -2

A = -12
x = 0

B = -8
x = 2

C = -4
Hope this helps