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The drama club is building a backdrop using arches whose shape can be represented by the function
f(x) = -x + 2x+8, where x is the length in feet. The area under each arch is to be covered with fabric.
m
What is the length of the segment along the floor of each arch?

The drama club is building a backdrop using arches whose shape can be represented by the function fx x 2x8 where x is the length in feet The area under each arc class=

Respuesta :

batolisis

The length of each arch segment is 6ft.

What is a quadratic equation?

Quadratic equation is an algebraic equation with the highest power of its variable as 2.

Analysis:

The points at which the curve touches the floor, f(x) = 0

so, -[tex]x^{2}[/tex] +2x + 8 = 0

-[tex]x^{2}[/tex] +4x -2x +8 = 0

-x(x-4) -2(x-4) = 0

(-x-2)(x-4) = 0

x = -2 or 4

so length of segment along the floor of each arm, the distance from -2 to 4 on  a graph is 6 = 4--2 = 6 feet

In conclusion, the length of the segment along the floor of each arch is 6 feet

Learn more about quadratic equation: brainly.com/question/1214333

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