Question

Two numbers are 10 units away in different directions from

Answer 1

Answer:

The equation can be used to find m, the midpoint of the

two numbers is:

$m^2-100 = -99$

Step-by-step explanation:

Two numbers are 10 units away in different directions from their midpoint, m, on a number line.

Then, we can define the two numbers as:

$x_1=m+10\\\\x_2=m-10$

The product of the  numbers is -99. This can be written as:

$x_1\cdot x_2=-99\\\\(m-10)(m+10)=-99\\\\m^2-10m+10m-100=-99\\\\m^2-100=-99\\\\m^2=-99+100=1\\\\m=\pm1$