Step-by-step explanation:
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Answer:
(9,126)
Step-by-step explanation:
Make sure x and y are on the same side
Eliminate y by multiplying the first equation by 4 then adding both equations together
Plug the x value (9) into one of the equations
Solve
x=9, y=126
(9,126)
Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)
Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.
For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)
For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)
For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)
Hope this helps :)
Answer:
65.5
Step-by-step explanation:
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
The Zcritical value at 95% = 1.96
Hence,
Margin of Error = 1.96 * 2.5/√60
Margin of Error = 1.96 * 0.3227486
Margin of Error = 0.6326
Lower boundary = 65.5 - 0.6326 = 64.867
Upper boundary = 65.5 + 0.6326 = 66.133
(64.867 + 66.133) / 2
Answer:
b and e
Step-by-step explanation:
