Answer:
x = 35
Step-by-step explanation:
5(x + 20) = 7x + 30
Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.
5x + 100 = 7x + 30
Subtract 7x from both sides.
-2x + 100 = 30
Subtract 100 from both sides.
-2x = -70
Divide both sides by -2.
x = 35
The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:

Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
the range is {7,5,1}
Step-by-step explanation:
To find the range, just plug in the domain into the function.
f(-1) = -2(-1) + 5 = 7
f (0) = -2(0) + 5 = 5
f(2) = -2(2) + 5 = 1