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zepelin [54]
2 years ago
6

Which of the following is the equation of a line perpendicular to the line

Mathematics
1 answer:
Taya2010 [7]2 years ago
3 0

Answer:

  • A. - 2x + 3y = 21

Step-by-step explanation:

The perpendicular lines have opposite reciprocal slopes.

<u>The given line has a slope of:</u>

  • m = -3/2

<u>The perpendicular slope is:</u>

  • m = 2/3

<u>And its y-intercept is:</u>

  • 9 = 2/3*3 + b
  • b = 7

<u>The line is:</u>

  • y = 2/3x + 7

<u>Convert this into standard form and compare with answer choices:</u>

  • 3y = 2x + 21
  • - 2x + 3y = 21

Correct choice is A

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Answer:

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With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

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