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1 year ago

what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)

Mathematics

1 answer:

riadik2000 [5.3K]1 year ago

6 0

Answer:

$y = -\frac53x + 20$

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

Flip the sign (+/-)
Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>

$y = -\frac53x + b$
$-5 = -\frac53(15) + b$
$-5 = -25 + b$
$20 = b$

The y-intercept of the new line is 20.

The equation is $y = -\frac53x + 20$

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PLEASE HELP!!

IRISSAK [1]

Step-by-step explanation:

$a + b = 6$

$ab = 1 \times 5 = 5$

$a = 1 \: \: \: \: \: \: \: \: b = 5$

$( {x}^{2} + x) + (5x + 5)$

$x(x + 1) + 5(x + 1)$

$(x + 1)(x + 5)$

Hope this is correct and helpful

HAVE A GOOD DAY!

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3 years ago

karen is building a house in Norfolk, Virginia. She would like a bedroom that is 12 feet in length by 10 feet in width. What is

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Step-by-step explanation:

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2 years ago

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The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th

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Now, we'll find the perimeter p. We'll use the formula below:

$p=2(\ell+w)\\\\
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3 years ago

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This is the function

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