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2 years ago

Find the value of k given that the line through (k, 2) and (7, 0) is perpendicular to the line y=x−285.

Mathematics

1 answer:

Anna71 [15]2 years ago

7 0

Answer:

k = 5.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope, and b is the y-intercept(y when x = 0).

Perpendicular lines

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line y=x−285.

This line has slope 1, so the line we want to find the equation has slope $m = -1$

Then

$y = -x + b$

Passes through (7, 0)

This means that when $x = 7, y = 0$ . So

$y = -x + b$

$0 = -7 + b$

$b = 7$

$y = -x + 7$

Find the value of k given that the line through (k, 2)

This means that when $x = k, y = 2$ . So

$y = -x + 7$

$2 = -k + 7$

$k = 7 - 2 = 5$

The value of k is k = 5.

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Step-by-step explanation:

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3 years ago

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Answer:

9 hours

Step-by-step explanation:

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3 years ago

How do i put this in slope-intercept form. passes through 2,-2 and 4,-1

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Answer:

$\large\boxed{y=\dfrac{1}{2}x-3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

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The formula of a slope:

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

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Substitute:

$m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}$

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3 years ago

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Answer:

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c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Therefore the number of cases prior to the increase is 50.

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