The midpoint is exactly in the middle
meaning
VW = WX
3x+7 = x + 25
solve from x
3x + 7 = x + 25
subtract 7 from both sides
3x = x + 18
subtract x from both sides
2x = 18
divide both sides by 2
x = 9
Now we have x = 9 but we aren't done.
plug what we found into the expressions
3x + 7
3(9) + 7
27 + 7
34
x + 25
9 + 25
34
34 + 34
68
The length of VX is 68.
Or option D.) 68
Hope this helps
Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
Can you explain it or maybe take a picture?
