Simplify. 6/7 • 4/15
2 answers:
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Answer:
vertex = (- 2, - 36)
Step-by-step explanation:
Given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = 5x² + 20x - 16 is in standard form
with a = 5, b = 20 and c = - 16
= -
= - 2
Substitute x = - 2 into f(x) for corresponding y- coordinate
f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36
vertex = (- 2, - 36)
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
<u>Given the following data;</u>
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
<em>We know that, the area of rectangle, A = length * width</em>
<em>Substituting the values into the equation, we have;</em>
<em>Expanding the bracket, we have;</em>
*Solving the quadratic equation by using factorization method*
Width, w = 5 feet or w = -16 feet.
<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>
<em>To find its length, l;</em>
When w = 5 feet
Length, l = 16 feet
When w = - 16 feet
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.