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rusak2 [61]
3 years ago
6

Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to y = -5x - 4 is \mathbf{y -5 = \frac{1}{5} (x - 15)}

<em><u>Recall:</u></em>

The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).

<em><u>Given</u></em>:

  • the point the line passes through: (15, 5)
  • the line it is perpendicular to: y = -5x - 4

<u><em>Find the </em></u><u><em>slope (m):</em></u>

The slope value will be the negative reciprocal of the slope value of y = -5x - 4.

  • The slope of y = -5x - 4 is -5.

  • Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.

<em>Write the </em><em>equation </em><em>in </em><em>point-slope</em><em> form by substituting m = 1/2 and (a, b) = (15, 5) into </em><em>y - b = m(x - a)</em>

<em />

  • Thus:

y -5 = \frac{1}{5} (x - 15)

Therefore, the equation for the line that passes through (15, 5) and is perpendicular to y = -5x - 4 is \mathbf{y -5 = \frac{1}{5} (x - 15)}

Learn more here:

brainly.com/question/11624671

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Fiesta28 [93]

d = b - 3 / 10

Step-by-step explanation:

b = 10d + 3

  • Place +3 in the other side of the equal sign
  • + 3 becomes - 3
  • b - 3 = 10
  • Divide both sides by 10 to make d the subject
  • b - 3 / 10 = 10d / 10
  • d = b - 3 / 10

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goblinko [34]

Answer:

-8/3 = d OR -2 2/3

Step-by-step explanation:

9d-4d-2d+8=-3d               Well first combine all like terms

3d+8=-3d                Now isolate the variable by subtracting 4d from both sides

3d(-3d) + 8= -3d (-3d)

8= -3d                             Divide both sides by -3

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Can you fine the cube root of a negative number? If so, is it positive or negative? Explain your answer.
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Answer:

Yes, you can find the cube root of a negative number. The answer will be negative!

Step-by-step explanation:

Example: Find the cube root of -27

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For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27

But if we are using a negative number: It is really different because we got to know the rules.

The setup: -3 x -3 x -3 = -27

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