SOLUTION: Could you help me with this problem please? Find the area of a triangle formed by the x-axis, the line y=-6x+60, and the line 3x-4y=-24.

Question 225949: Could you help me with this problem please?
Find the area of a triangle formed by the x-axis, the line y=-6x+60, and the line 3x-4y=-24.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the area of a triangle formed by the x-axis, the line y=-6x+60, and the line 3x-4y=-24.
------------
Find where the 2 lines intersect.
y = -6x+60
3x-4y = -24
Sub for y in 2nd eqn
3x - 4(-6x+60) = -24
3x + 24x-240 = -24
27x = 216
x = 8
---------
y = -6x+60 = 12
--> (8,12)
-----------------
Find the x-intercepts of the 2 lines by setting y=0.
y = -6x+60
0 = -6x+60
x = 10
----------
3x-4y = -24
3x = -24
x = -8
--------
The base of the triangle is from x = -8 to x = 10, = 18 units.
The height is the y value of the intersection, = 12
Area = b*h/2 = 18*12/2
Area = 108 sq units.
RELATED QUESTIONS
Can someone help me with this math problem please? Question : A right triangle is... (answered by rothauserc)

Linear System Extension Thinking & Inquiry Questions 8. A triangle is formed by the... (answered by solver91311)

Find the area of the triangle formed by the line 4x-3y=12, the x-axis and the... (answered by solver91311)

find the area of triangle formed by the line 3x+5y=15, x-y =5 and the y axis (answered by ewatrrr)

Find the area of the triangle formed by the x-axis, the y-axis, and the line described by (answered by acalgebra)

Find the equation of a line parallel to 3x+4y=7 intersect the positive x axis and... (answered by robertb)

Find the area of the triangle enclosed by the x-axis, the y-axis and the line y = 2x-6. (answered by KMST,ramkikk66)

A line with slope -2 passes through the point (1,4). Find the area of the triangle formed (answered by lwsshak3)

Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis... (answered by Edwin McCravy)