Daniel and Sydney are getting high-speed Internet access at the same time. Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month. After how many months will Daniel and Sydney have paid the same amount for high-speed Internet service?

5 months

Step-by-step explanation:

Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month

Let x = number of months

Daniel = 60 + 45.95x

Sydney = 0 + 57.95x

Equate both equations

60 + 45.95x = 0 + 57.95x

Collect like terms

60 - 0 =57.95x - 45.95x

60 = 12x

Divide both sides by 12

x = 60 / 12

= 5

x = 5 months

Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months

this is false ^.^ lol

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'.