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3 years ago

If a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

3x + 2y = -2 

Step-by-step explanation:

Given Equation is − 2 x + 3 y = 12

3 y = 2 x + 12

y = ( 2 /3 ) y + 12

Slope of this line is m = 2/ 3 

Slope of Line A  m a = 2 

Slope of Line B m b = 2/ 3 

Slope of Line C m c = − ( 2 /3 ) 

Slope of Line D m d = − ( 3 /2 ) 

since m d = − 1 /m , D is perpendicular to the given line

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Gary and Jessica exercise for a total of 18 hours per week. Jessica exercises 2 less than 3 times the hours that Gary exercises.

horsena [70]

<h3>Answer: 5</h3>

Work Shown:

g = number of hours that Gary exercises

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(g) + (3g-2) = 18

4g-2 = 18

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2 years ago

Find q (7q-46) (3q+6)

kap26 [50]

Answer:

$q = 22$

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

$($

Substitute for the angle measures,

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Simplify,

$10q-40=180$

Inverse operations,

$10q-40=180\\\\10q = 220\\\\q = 22$

8 0

3 years ago

Read 2 more answers

How would you find the area of this parallelogram? Describe your strategy.

fiasKO [112]

Answer:

To find the area of a parallelogram, multiply the base by the height.

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Step-by-step explanation:

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3 years ago

An odd number between 301 and 370 has three different digits. If the sum of its digits is five times the hundreds digit, find th

damaskus [11]

For the answer to the question above, 
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