3 years ago

Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)

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Simplify the following expression. 3 2/5x3(-7/5)

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The simplified expression of 32/5 x 3(-7/5) is -672/25

<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) = 32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) = 672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) = 672/25 x -1

So, we have:

32/5 x 3(-7/5) = -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25