Answer:
2^x+3= 2^2(x-2)
Step-by-step explanation:
as 4 can be written as 2^2
2^x+3= 2^2(x-2)
so 2^x+3= 2^2x-4 is the answer..
Answer:
AB= 55
Step-by-step explanation:
48+25=73
48²+x²=73²
48²=2304 and 73²=5329
2304+x²= 5329
-2304 -2304
x²= 3025
√3025=55
Given:
Total fund = $500
cost of each trip = $80
To find:
The an algebraic expression that represents the money the club has after going on field trips.
Solution:
Let x be the number of field trips.
Cost of 1 field trip = $80
Cost of x field trip = $80x
We have, Total fund = $500.
So, the money the club has after going on field trips is

Therefore, the money the club has after going on field trips is $(500-80x).
Answer:
34π/3 (= 11.3 π ) mi²
Step-by-step explanation:
(see attached for reference)
area of sector is given by:
A = (θ/360) π r²
where
θ = angle of sector (given as 255°)
r = radius (given as 4 miles)
substituting the known values into the formula:
A = (θ/360) π r²
A = (255/360) π (4)²
A = (255/360) π (16)
A = 34π/3 mi²
A = 11.3 π mi²
edit: expressed answer in improper fraction form to match answer choices.