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Alexus [3.1K]
2 years ago
8

What is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6?

Mathematics
1 answer:
finlep [7]2 years ago
6 0

<u>2/3  i</u><u>s the</u><u> slope </u><u>of a line that is perpendicular to the line whose equation is 3x 2y=6.</u>

What is slope?

  • Slope, Numerical measure of a line's inclination relative to the horizontal.
  • In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

we can find the slope from the equation that is given buy solving the equation for y

3x+2y = 6

2y = 6-3x

y = 3-3/2x

y = -3/2x+3

now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2

perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have

-3/2 → 3/2 → 2/3

Therefore, the slope of the perpendicular line is 2/3.

Learn more about slope

brainly.com/question/3605446

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Step-by-step explanation:

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Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

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3 years ago
Simplify x + 1/2 (x-5) =20
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Answer: x=15

Step-by-step explanation: Let's solve your equation step-by-step.

x+ 1 /2

(x−5)=20

Step 1: Simplify both sides of the equation.

x+ 1 /2

(x−5)=20

x+( 1 /2 )(x)+( 1 /2 )(−5)=20(Distribute)

x+ 1 /2

x+  −5 /2 =20

(x+ 1 /2 x)+( −5 /2 )=20(Combine Like Terms)

3 /2 x +  −5 /2 =20

3 /2 x +  −5 /2 =20

Step 2: Add 5/2 to both sides.

3 /2 x +  −5 /2  +  5 /2 =20+ 5 /2

3 /2 x=  45 /2

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 x)=( 2 /3 )*( 45 /2 )

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5 0
3 years ago
A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocop
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Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

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                                 = 240 ×25

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Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

           = \frac{6000}{100} × 3

           = 60 × 3

           = 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

3 0
3 years ago
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