The opposite sides of a rectangle will always be congruent. If they aren't, it's not a rectangle.
To find CD, you need to find what z is. This can be found using the given, the perimeter, and plugging that into the perimeter formula using the information given. You end up with 2(4z - 3) + 2(3z - 1) = 132. Solve for z and you find that z = 10.
CD is congruent to AB, which is 3z -1. Plug z in to get AB = 29. Since AB = CD, CD = 29.
Answer:
Step-by-step explanation:
It can end with a 0.
For example 12 * 5 = 60.
Answer:
Reflection over the x-axis
Step-by-step explanation:
To get from Triangle A to Triangle B, Triangle A must be reflected over the x-axis. On Triangle A, the left-most point is at (1, -2). The corresponding point on Triangle B is at (1, 2). The rule for reflecting over the x-axis is (x, y) -> (x, -y). So, (1, -2) -> (1, 2).
I hope this helps :))
<h3>
Answer: x = -1/2 or x = 3</h3>
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Explanation:
Set each factor equal to zero and solve for x. This is using the zero product property.
(2x+1)(x-3) = 0
2x+1 = 0 or x-3 = 0
2x = -1 or x = 3
x = -1/2 or x = 3
If you graphed the function, you should see that it crosses the x axis at -1/2 and at 3.
Answer:
D. Graph A
Step-by-step explanation:
First, notice the function can be factored easily:

So we can see that the function hits the y-axis at 2 points:
(-8,0) and (-2,0).
Which of the graphs in the picture show a parabola that hits the y-axis at those points? Graph A is the only option.
So the answer is D. Graph A