Answer:

Step-by-step explanation:
The diagonal of any square with side length
is equal to
. Since the side length of the square is 10, the diagonal must be
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (
).
Call the diagonal
. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

OK the next step is to multiply 3r -1 by -7r
this gives us -21r^2 + 7r and we write it below -21r^2 + 25r
and subtract
This gives us 18r and we bring down the -6 to give
18r - 6
Finally we divide 18r by -3r to give -6 then add - 6 to the r^2 - 7r on the top
then multiply -3r - 1 by -6 to give 18r - 6
subtraction then leaves nothing.
so the answer is r^2 - 7r - 6
For every value of x you put in, you can only get 1 y value exg if you subsitue 5 for x then then you will get only 4 and only 4
but it is possible to have 5 for x and get 4 and 20 for x and also get 4,
one easy way is to use the vertical line test
if you graph the equation and you draw a vertical line throught the line, the vertical line should pass through the equation line only once
if we manipulate the equation, we would see that is is = y=x/4+5/4 which is a linear equation that is a striaght line and this passes the vertical line test