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BartSMP [9]
2 years ago
15

What is the vertex of y= -x^2+10x

Mathematics
1 answer:
liq [111]2 years ago
7 0

y = -x^2+10x\implies y = -x^2+10x+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 10}{2(-1)}~~~~ ,~~~~ 0-\cfrac{ (10)^2}{4(-1)}\right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{100}{4} \right)\implies (5~~,~~25)

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A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?
Hatshy [7]
<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

v = base\ area \times height

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2

Thus the base area of triangular prism container is 42.8 cubic centimeter

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3 years ago
What is the location of the second endpoint if the first endpoint is at (5,2) and
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The second midpoint is (-15,8)
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3 years ago
Tami spins a spinner with 7 sections. The sections are numbered 1 through 7 and all sections are the same size
dexar [7]

Answer:

1 / 7

Step-by-step explanation:

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Section is numbered 1 to 7

Since the probability of landing on each section is the same:

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8 0
3 years ago
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irina1246 [14]

Answer:

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Step-by-step explanation:

rewrite it

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remove the opposites

and then simplify

-20,2m-11,8

im not sure if this makes sense

5 0
2 years ago
Read 2 more answers
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suter [353]
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8 0
3 years ago
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