To convert to a decimal, divide by 100.
75 / 100 = .75
Answer:
The roots (zeros) of the function are:

Step-by-step explanation:
Given the function

substitute f(x) = 0 to determine the zeros of the function

First break the expression x² + 3x - 40 into groups
x² + 3x - 40 = (x² - 5x) + (8x - 40)
Factor out x from x² - 5x: x(x - 5)
Factor out 8 from 8x - 40: 8(x - 5)
Thus, the expression becomes

switch the sides

Factor out common term x - 5

Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)

Solve x - 5 = 0
x - 5 = 0
adding 5 to both sides
x - 5 + 5 = 0 + 5
x = 5
solve x + 8 = 0
x + 8 = 0
subtracting 8 from both sides
x + 8 - 8 = 0 - 8
x = -8
Therefore, the roots (zeros) of the function are:

The coordinates of the midpoint if the endpoints are (x₁,y₁) and (x₂,y₂):

One endpoint is (3,5), the midpoint is (5,-11). The other endpoint is (x,y).

The coordinates of endpoint M are (7,-27).
Pythagorean Theorem: a^2 + b^2 = c^2
(5)^2 + (9)^2 = c^2
25 + 81 = c^2
106 = c^2
c = square root of 106
Length of a diagonal of a rectangle is square root of 106.