Find the area of a triangle bounded by the y-axis, the line f(x)=12-4x, and the line perpendicular to (f) that passes through th
e origin.
1 answer:
Answer:
Step-by-step explanation:
1. The line y=12-4x has the slope -4, then perpendicular line will have slope
The equation of this perpendicular line is
2. The vertices of the triangle are at points:
A: x=0, y=0.
B: x=0, y=12.
C:
3. The height of the triangle ABC is x-coordinate of point C, so the base of the triangle is the length of the segment AB, 12 cm.
4. The area of the triangle ABC is
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