Jake had 17 toy cars. He gave Dan and Andy each the same number of toy cars. Now Jake has five toy cars. How many toy cars did h
1 answer:
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Solution
- The transformation for reflection over the y-axis is given below:
- We have been given the coordinate of B to be (-5, -2) as shown below:
- Thus, applying the transformation formula given above, we have:
- Thus, the reflected point B' is
- This is shown below:
There are three parts to this figure: a rectangle and two triangles that are congruent.
We'll add together the area for each to get the total area.
We'll start by finding the area of the rectangle. We don't know its length, so we need to find the bases of the triangles and add them together.
We know that . Substitute and solve for
:
Now, double this to get the total length of the rectangle, which is inches.
The area of the rectangle is equal to its length times its height:
Now, we'll find the area of one of the triangles and double it since they're congruent.
The area of a triangle is one-half of its base times its height, which we then double.
The and the
cancel each other out.
Substitute and solve:
Finally, add the rectangle's area to the two triangles' area.