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3 years ago

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the equation of line k is y=1/5x-1/8. what equation of the line that is perpendicular to line k and passes through (0,0)

1 answer:

barxatty [35]3 years ago

4 0

The slope of a perpendicular line is the negative reciprocal of the normal slope. For example, 3/7 would become -7/3.

Because the slope of this line is 1/5, the slope of a line that is perpendicular to it is -5.

Now, to find the equation of the line, we need to find the y intercept. Since the line passes through (0,0), that is the y intercept. Now, we can make the equation of the line.

y = -5x

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

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Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

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substitute

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step 2

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In this problem the similar cone has half the height of the complete cone

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Answer:

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Step-by-step explanation:

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{3 y - 7 x = -6 | (equation 1)

3 y - 3 x = 6 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+(12 y)/7 = 60/7 | (equation 2)

Multiply equation 2 by 7/12:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

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