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2 years ago

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10. Your bedroom ceiling is 10 feet high and is 2 times as high as the living room ceiling. Write and solve an equation with one

variable to find the height h of the living room ceiling.

1 answer:

navik [9.2K]2 years ago

4 0

Answer:

h = 5 ft, which does not make sense since a 5 ft ceiling is kind of small

Step-by-step explanation:

b = 10 ft and h = b / 2, so h = 10/2, h = 5 ft

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Solve h = −16t2 + 36t + 4.

kvasek [131]

I can do each of the things I asked above.
So, let's change this into vertex form:
$h=-16t^2+36t+4$
$h=(-16t^2+36t)+4$
$h=-16(t^2-2.25t)+4$
$h=-16(t^2-2.25t+1.27-1.27)+4$
$h=-16(t^2-2.25t+1.27)+20.32+4$
$h=-16(t-1.125)^2+24.32$
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
$h = -16t^2 + 36t + 4$
$h = -4\left(4t^2-9t-1\right)$

Quadratic Formula:
$x = \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}$
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
$h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}$
$h = \frac{-36 +/- \sqrt{1552}}{-32}$
$h = ≈-0.11$
$h = ≈2.36$

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