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pantera1 [17]
3 years ago
15

A line contains the point (2,1) and has a slope of -2. what is the equation

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

The equation of this line would be y = -2x + 5

Step-by-step explanation:

To find any line given a slope and a point, use the base form of point-slope form and plug in the known values. Then solve for y.

y - y1 = m(x - x1)

y - 1 = -2(x - 2)

y - 1 = -2x + 4

y = -2x + 5

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A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.
siniylev [52]

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Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

8 0
3 years ago
How many millimeters equal 1942 cm 3?
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7 0
3 years ago
The sales tax for an item was $24.50 and it cost $350 before tax. Find the sales tax rate.
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3 years ago
A backpack that normally sells for $39 is on sale for 30% off. Find the amount of the sale price
andrey2020 [161]

Answer:

26.13 sale price discount 12.87

Step-by-step explanation:

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8 0
3 years ago
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Scrat [10]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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