8 units
Circumference = pi * 2 * radius
50.24 = 3.14 * 2 * radius
50.24 = 6.28 * radius
8 = radius
Answer:
A.
Step-by-step explanation:
We are told that three that the sum of 5 and a number is between 12 and 21 which means:
Divide all sides by 3:
Subtract 5 on both sides:
Simplify:
So the answer is A.
Slightly different route:
Distribute 3 to the terms in the ( ) next to it:
Subtract all sides by 15:
Simplify:
Divide both sides by 3:
Simplify:
Answer: (2,4) is a solution to this system
Step-by-step explanation:
The given system of equations is expressed as
y = 2x - - - - - - - - - - - 1
y = -1/2x + 5 - - - - - - - - - 2
The first step is to equate equation 1 to equation 2. It becomes
2x = - 1/2x + 5
The next step is to add - 1/2x to the left hand side and the right hand side of the equation. It becomes
2x + x/2 = - x/2 + x/2 + 5
(4x + 2)/2 = 5
The next step is to multiply the left hand side and the right hand side of the equation by 2. It becomes
(4x + 2)/2 × 2= 5 × 2
4x + 2 = 10
Subtracting 2 from the left hand side and the right hand side of the equation. It becomes
4x + 2 - 2 = 10 - 2
4x = 8
Dividing the left hand side and the right hand side of the equation by 4, It becomes
4x/4 = 8/4
x = 8/4 = 2
Substituting x = 2 into equation 1, it becomes
y = 2 × 2 = 4
Answer:third option
Step-by-step explanation:
I just did it
