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2 years 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]2 years 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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algol [13]

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2 years ago

Determine if the equation is linear. If so, graph the function.

musickatia [10]

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

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The linear function must of form

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3 years ago

In which diagram do angles 1 and 2 form a linear pair?

rodikova [14]

The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

<h3>What is a linear pair?</h3>

It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.

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Learn more about linear pair on:

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2 years ago

A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit

azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

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576+b^2=900 Subtract 576 from both sides

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Answer:

Step-by-step explanation:

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2 years ago

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