Question

HALLLPPPPP!!

Find the area of the region bounded by the line y=3x-6 and line y=-2x+8. For each of the given situations, find the AREA of the bounded region, the answer is not A, B, C, or D, I need to solve the answer for that case. (For example, C, it says the line y=6. I need you to find the area of the bounded region when the line y is 6 and intersects the 2 other lines.)

B: the y-axis.

C: the line y=6

Answer 1

Explanation:

You've omitted A and D.

Find the points of intersection.

y = 3x-6 and y = -2x+8 intersect at (2.8,2.4)

B:

The y-axis and y = 3x-6 intersect at (0,-6).

The y-axis and y = -2x+8 intersect at (0,8)

You have a triangle with base = 14 and height = 2.8

Area = 19.6 sq units

C:

y=6 and y = 3x-6 intersect at (4,6)

y=6 and y = -2x+8 intersect at (1,6)

You have a triangle with base = 3 and height = 6-2.4 = 3.6

area = 5.4 sq units