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MakcuM [25]
3 years ago
15

Jack found the volume if prism pictured to the right by multiplying 5 x 8 and than adding 40 + 40 + 40= 120. He says the volume

is in cubic inches.
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by height. Explain to Jill why Jacks method works and us equivalent to her method

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

b. 30 ft³

Step-by-step explanation:

5 × 8 is the volume of one side.

5 × 8 = 40

40 + 40 + 40 = 120

120 in.³

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One form of the equation of a parabola is
y = ax² + bx + c

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c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
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9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
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The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
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y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

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