109k views
3 votes
Can someone please help me

Can someone please help me-example-1
User Mssb
by
8.5k points

1 Answer

5 votes

Answer:

v = -28 and v = 12.

Explanation:

To solve the equation |v + 8| - 8 = -28, you can follow these steps:

First, add 8 to both sides of the equation to isolate the absolute value expression:

|v + 8| - 8 + 8 = -28 + 8

|v + 8| = -20

Now, you have an absolute value equation. There are two possible cases to consider:

Case 1: v + 8 is positive.

Case 2: v + 8 is negative.

Case 1 (v + 8 is positive):

In this case, the absolute value |v + 8| will be equal to its argument, which is (v + 8). So, you have:

v + 8 = -20

Subtract 8 from both sides:

v = -20 - 8

v = -28

Case 2 (v + 8 is negative):

In this case, the absolute value |v + 8| will be equal to the negation of its argument, which is -(v + 8). So, you have:

-(v + 8) = -20

To get rid of the negative sign, multiply both sides by -1:

v + 8 = 20

Now, subtract 8 from both sides:

v = 20 - 8

v = 12

So, there are two solutions to the equation:

v = -28 and v = 12.

User Theblindprophet
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories