If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2
=196 for s to find the length of a side of the patio
1 answer:
Answer:
The answer to your question is initial length = 10 ft final length = 14 ft
Step-by-step explanation:
Data
length = s
Area = 196
Equation
(s + 4)² = 196
Expand
s² + 8s + 16 = 196
Solve for s
s² + 8s + 16 - 196 = 0
s² + 8s - 180 = 0
Factor
(s + 18)(s - 10) = 0
Find s₁ and s₂
s₁ + 18 = 0 s₂ - 10 = 0
s₁ = -18 s₂ = 10
Conclusion
The initial length of a side was 10 ft, because the are no negative lengths -18 is discarded.
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Let
be the length of the square, then the area is
. Hence, the side is the positive root of the area, which is
Answer:
Width: 12 ft
Maximum area: 144 ft²
Step-by-step explanation:
A = 24x – x²
A = –x² + 24x
A = –(x² – 24x)
A = –(x² – 24x + 144) + 144
A = –(x – 12)² + 144
Therefore, the maximum area of 144 ft² occurs at x = 12 ft.
The Correct answer is 25
Why? 4+21=25
Want Proof?\/
Use chain rule
and also power rule
so
well, we will say
and
so
simplify yourself
The account decreased by
7,400×0.265=1,961
The account at the end of the year
7,400−1,961=5,439
