See the attached picture:
A family needs to build fencing around their rectangular home and square swimming pool, depicted below.
1 answer:
The total amount of fencing they need = 38x + 10.
Perimeter for the rectangular fencing of the home = 160 yards
Perimeter for the square fencing of the pool = 40 yards
<h3>What is the Perimeter of a Rectangle and a Square?</h3>Perimeter of a rectangle = 2(length + width)
Perimeter of a square = 4(side length).
Perimeter for the rectangular fencing of the home = 2(3 + 10x + 2 + 5x) = 2(15x + 5) = 30x + 10
Perimeter for the square fencing of the pool = 4(2x) = 8x
The total amount of fencing they need = 30x + 10 + 8x = 38x + 10.
If x = 5, then:
Perimeter for the rectangular fencing of the home = 30x + 10 = 30(5) + 10 = 160 yards
Perimeter for the square fencing of the pool = 4(2x) = 8x = 8(5) = 40 yards.
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<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k
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the distance traveled is when y = 0 ⇒
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
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