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Jlenok [28]
3 years ago
10

what is the value of y for the line that has a slope of 1 and goes through the points (-4,y) and(-2,8)​

Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

<h2>y = 6</h2>

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:

1=\dfrac{8-y}{-2-(-4)}

1=\dfrac{8-y}{2}         <em>multiply both sides by 2</em>

2=8-y         <em>subtract 8 from both sides</em>

-6=-y          <em>change the signs</em>

6=y\to y=6

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The volume of a hemisphere is 144 pi. Find the radius and total surface area.
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Formula of the Volume of a hemisphere:
V = \frac{2}{3}\pir³
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Multiply by 3 to cancel fraction in the right side
144\pi × 3 = 2\pi r³
432 \pi = 2\pir³
Divide by 2\pi on either sides to isolate r³
\frac{432 \pi }{2 \pi } = \frac{2 \pi }{2 \pi }r³
2\pi and 2 \pi cancel out
216 = r³
Take cube root to find the radius
\sqrt[3]{216} = \sqrt[3]{r^3}
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2\pir² + \pir²
       = 2\pi(6)² + \pi(6)²
       =2\pi × 36 + 36\pi
       = 72\pi + 36\pi
       = 108\pi units²  (in terms of \pi)
       ≈ 339.12 units²

Surface area = 108\pi units
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F(x) = –3x² - 6x +1<br><br> Find f(8)
MAXImum [283]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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