Math

Question Solve for the absolute value of hh when 9h=99-|h|=9.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 9h=99 - |h| = 9.
2. We need to solve for the variable hh.

STEP 2

To isolate the absolute value expression, we need to get h|h| by itself on one side of the equation. We can do this by subtracting 9 from both sides of the equation.
9h9=999 - |h| - 9 = 9 - 9

STEP 3

Simplify both sides of the equation.
h=0-|h| = 0

STEP 4

Since the absolute value of a number is always non-negative, we can conclude that if h=0-|h| = 0, then h|h| must be equal to 0.
h=0|h| = 0

STEP 5

The absolute value of a number is 0 if and only if the number itself is 0. Therefore, we can conclude that:
h=0h = 0
The solution to the equation is h=0h = 0.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord