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U(2, 5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ (x₁ + x₂ ) , (y₁ + y₂ ) ]

let U = (x, y)

Use the midpoint formula and equate to the coordinates of M , that is

x = (x + 17) = 9.5 ( multiply both sides by 2 )

x + 17 = 19 ( subtract 17 from both sides )

x = 2

y = (y - 11 ) = - 3 ( multiply both sides by 2 )

y - 11 = - 6 ( add 11 to both sides )

y = 5

Thus coordinates of U = (2, 5 )

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.