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frozen [14]
2 years ago
9

Please help me with math !!

Mathematics
1 answer:
Setler [38]2 years ago
4 0

Answer:

  • a) x = 4
  • b) y = 1.25x + 15
  • c) (-12, 0)

Step-by-step explanation:

a) PQ is parallel to the y-axis and contains point (4, 5).

<u>It means its equation is:</u>

  • x = 4

b) RQ is parallel to OP.

Parallel lines have equal slopes.

<u>Find the slope of OP:</u>

  • m = 5/4 = 1.25

RQ has slope of 1.25 and passes through (- 8, 5).

<u>Find its equation using point-slope form:</u>

  • y - 5 = 1.25(x - (-8))
  • y - 5 = 1.25x + 10
  • y = 1.25x + 15

c) <u>The x-intercept is determined at y = 0:</u>

  • 0 = 1.25x + 15
  • 1.25x = - 15
  • x = - 15/1.15
  • x = - 12
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