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Nimfa-mama [501]
4 years ago
14

Find the slope and y-intercept of the line that is perpendicular to y= -1/3 x+5 and passes through the point (-3,-7)

Mathematics
1 answer:
o-na [289]4 years ago
7 0
Perpendicular slope: 3

y + 7 = 3(x + 3)

y + 7 = 3x + 9

y = 3x + 2
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Step-by-step explanation:

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A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
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Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
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<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
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suter [353]

Answer:

4/6 0r 2/3

Step-by-step explanation:

5 0
3 years ago
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