Above are two different diagrams of the same backyard. If the length of the diagram on the left is 4 in, what is the length of t
he diagram on the right?
A. 1.33 in
B. 7 in
C. 17 in
D. 12 in
A. 1.33 in
B. 7 in
C. 17 in
D. 12 in
2 answers:
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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .
First find the area of the triangle.
ABCE is a parallelogram, this means that the area of triangle ABE is equal to the area of triangle EBC. The are of the entire trapezoid is 180 square centimeters, we already found the area of the triangle, so that leaves us with:
So the area of the entire parallelogram must be 144 square centimeters. So each half of the parallelogram must be equal to:
ABCE is a parallelogram, this means that the area of triangle ABE is equal to the area of triangle EBC. The are of the entire trapezoid is 180 square centimeters, we already found the area of the triangle, so that leaves us with:
So the area of the entire parallelogram must be 144 square centimeters. So each half of the parallelogram must be equal to: