Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely 13−−√ units long from the star to another grid point. The dots are one unit apart.

Using right triangles to determine the distance, how many different lines could Mr. Johnson’s students create without going off the paper?
A
3

B
4

C
6

D
8

29 mil

step-by-step explanation:

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'.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

y=-2x+1500

step-by-step explanation:

+1500

2 over one