Asked by Amy
Seeking step by step help with this question...Thank you much.
Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18
Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18
Answers
Answered by
Reiny
I made a sketch, and y = |9x| consists of two lines
first: y = 9x starting at the origin, and the second:
y = -9x also starting in the origin,
resulting in a graph looking like a V
If I understand the question correctly, you now want the area of the triangle in the second quadrant and the triangle in the first quadrant
left triangle: base = 8 , height = 72 , Area = 8*72/2=288
right triangle: base = 18, height = 162, Area = 1456
area = 288+1456 = 1746
first: y = 9x starting at the origin, and the second:
y = -9x also starting in the origin,
resulting in a graph looking like a V
If I understand the question correctly, you now want the area of the triangle in the second quadrant and the triangle in the first quadrant
left triangle: base = 8 , height = 72 , Area = 8*72/2=288
right triangle: base = 18, height = 162, Area = 1456
area = 288+1456 = 1746
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