3 years ago

Find the rate of change for the ramp represented in the graph.

Mathematics

2 answers:

Zarrin [17]3 years ago

8 0

D, 1/3
Because its simplify's to it

photoshop1234 [79]3 years ago

5 0

The answer is d. (1/3)

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Step-by-step explanation:

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3 years ago

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The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les

aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

$\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}$