The diameter of a circle is 14 in. 4 x plus 3 represents the radius. Write two equations that you can use to find the value of x. Then find the value of x.
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Part 1
Which equations can you use to solve for x? Select two equations.
A.2 left parenthesis 4 x plus 3 right parenthesis equals 7
2 left parenthesis 4 x plus 3 right parenthesis equals 7
B.2 left parenthesis 4 x plus 3 right parenthesis equals 14
2 left parenthesis 4 x plus 3 right parenthesis equals 14
C.4 x plus 3 equals 14
4 x plus 3 equals 14
D.4 x plus 3 equals 7
4 x plus 3 equals 7
The correct equations to use to solve for x are B. 2(4x + 3) = 14 and C. 4x + 3 = 14.
Using equation C:
4x + 3 = 14
4x = 11
x = 11/4
x = 2.75
Using equation B:
2(4x + 3) = 14
8x + 6 = 14
8x = 8
x = 1
Therefore, x can be either 2.75 or 1.