The GCF of the first two is 4p³q².The GCF of the second two is 8pq⁵.The GCF of the third two is 4p²q⁵.The GCF of the fourth two is 8p²q.The GCF of the fifth two is 4p²q.
To find the GCF of each pair, find the greatest number that will divide into each coefficient. As for the variable portions, choose the variable that has the smallest exponent from each pair.
Answer:
x=8 x=-2
Step-by-step explanation:
|x-3| -10=-5
Add 10 to each side
|x-3| -10+10=-5+10
|x-3| =5
Now separate into two equations , one positive and one negative
x-3 = 5 x-3 = -5
Add 3 to each side
x-3+3 = 5+3 x-3+3 = -5 +3
x=8 x=-2
Answer:
2x - 5
Step-by-step explanation:
1/5(10x - 25)
Use the Distrubitve Property
1/5 * 10x = 2x
1/5 * 25 = 5
New equation is 2x - 5
Answer: pi(3)^2
I was just on the quiz and got it correct
We can solve this by first finding the diameter of the two semicircles. We know that the width of the rectangle is 27 inches, which also happens to be the diameter of the circle.
The circumference of a circle is 2πr or πd. The problem says that it is a semicircle, however, it says that there are two of them. Since the two semicircles are the same size, we know that they can combine to form one circle, so we can just find the circumference of one circle to account for both of the semicircles:
C=27π inches
We also know that the length of the rectangle is 60 inches. We only want to find the perimeter of the frame, so we don't have to account for the widths of the rectangle because it is inside the frame. Therefore, the two sides of the rectangle together are 120 inches. Now we can add this to the circumference we found:
120+27π inches or 204.78 inches (depends on what your teacher is asking for)
