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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8 and the line x=5

2 Answers

2 votes

Answer: x=536

Explanation:

User Iheggie
by
7.7k points
5 votes

Answer:

  • 12.1 square units

Explanation:

The region is limited within the triangle.

Vertices are the intersection of the three lines.

  • 3x - 6 = -2x + 8 ⇒ 5x = 14 ⇒ x = 2.8 ⇒ y = 2.4 point (2.8, 2.4)
  • x = 5 ⇒ y = 3*5 - 6 = 9 point (5, 9)
  • x = 5 ⇒ y = -2*5 + 8 = -2 point (-2, 9)

Plot the points. See the picture it makes the next step easy.

Base of the triangle has the length:

  • 9 - (-2) = 11 units

The height has the length:

  • 5 - 2.8 = 2.2

The area:

  • A = 1/2bh = 1/2*2.2*11 = 12.1 square units
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8 and the line-example-1
User LordAnomander
by
8.2k points

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