A square has a diagonal of 15 centimeters. What is the length of one side of the square?

(15/2) sqrt(2)

Step-by-step explanation:

The diagonal of a square divides the square into

two congruent isosceles right triangles, where we define

s to be the length of each of the sides of the square.

So, the diagonal is the hypotenuse of each of the isosceles

right triangles.  Using either one of the right triangles, by

the Pythagorean Theorem, we have that

(the diagonal)^2 =  s^2 + s^2

(15 cm)^2 = 2 s^2

225 cm^2 = 2 s^2

2 s^2 = 225 cm^2

sqrt(2) s = 15 cm

s = 15 cm/sqrt(2)

s = (15/2) sqrt(2) cm

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.