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Mathematics

1 answer:

Serhud [2]3 years ago

8 0

Answer:

i believe the answer would be y= -x-4

Step-by-step explanation:

a line that is perpendicular, will have and opposite reciprocal slope, so:

the slope of the line y=x-4 is 1, and the reciprocal of 1 is also 1.

now take the opposite of it, which is -1.

so the perpendicular line equation would be y=-x-4

i hope this helps :D

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<h3>Answer: 22 units</h3>

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Explanation:

You can use the distance formula

$d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{ (1-1)^2 + (-4-18)^2}\\\\d = \sqrt{ (0)^2 + (-22)^2}\\\\d = \sqrt{ 22^2}\\\\d = 22\\\\$

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A shorter method is to subtract the y coordinates and apply absolute value

So either |-4-18| = |-22| = 22

Or, |18 - (-4)| = |18+4| = |22| = 22

This method only works because the x coordinates are the same. We can also use this method if the y coordinates were the same with the x coordinates being different.

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