Question

"Write an absolute value equation that has the given solution."

Answer 1

Answer:

• |x - 13| = 5

Step-by-step explanation:

When you have the solutions to absolute value equation which are a and b, the equation will look like this:

• |x - (midpoint of a and b)| = 1/2(range of a and b)

If we apply this provided a = 8, b = 18 we get:

• Midpoint of 8 and 18 = 13
• Range of 8 and 18 = 10

The the equation is:

• |x - 13| = 10/2

or

• |x - 13| = 5

Answer 2

Step-by-step explanation:

$here \: we \: want \: to \: calculate \: absolute \: value \\ here \: x \: is \: given \\ absolute \: value = |x - (midpoint \: of \: given \: points)| = \frac{1}{2} \times range \: of \: given \: point \\ = |x - 13| = \frac{1}{2}(18 - 8) \\ |x - 13| = 5 \\ mi d \: point \: calculation \: in \: attachment \\ thank \: you$