Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Answer:
D
Step-by-step explanation:
Counting from 28 to 44, that is more than 27 miles
28, 31, 32, 33, 35, 39, 42, 43, 44
That is 9 ran more than 27 miles
2(4x-1) + 3(3-2x)=0
distribute
8x-2+9-6x=0
add like terms
2x+7=0
subtract 7 from both sides
2x= -7
divide both sides by 2
x=-7/2
The height of the flag pole is 51 ft.
Solution:
Paul creates the smaller triangle and flag pole creates the larger triangle.
Base of smaller triangle = 10 ft
Height of smaller triangle = 6 ft
Base of the larger triangle = 85 ft
Let the height of the flagpole be h.

Multiply by 85 on both sides.


⇒ 51 = h
The height of the flag pole is 51 ft.
Answer:
A^B = A*A*A*... (B number of times)