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:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e.
i.e.
i.e.
i.e.
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.