X=14
y=3x^2+17
y=3(14)^2+17
y=3•196+17
y=588+17
y=605
Answer:
there is no solution
Step-by-step explanation:
y + 7 = 3x
6x - 2y = 6 which can be simplied to be 3x - y = 6 (divide by 2)
let y = 3x - 7
substitute: 3x -(3x - 7) = 6
3x - 3x + 7 = 6
7 ≠ 6 therefore, no solution
O is the midpoint so both sides FO and OG need to equal each other.
3x + 17 = 7x - 15
Subtract 3x from both sides:
17 = 4x -15
Add 15 to both sides:
32 = 4x
Divide both sides by 4:
x = 32/4
X = 8
Now you have the value of X, solve for the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
