Question
Point M is the pinpoint of AB where AM=3x+8 and MB=6x-4 Find AB
Answers
GPT-4o mini
To find the length of segment \( AB \), we need to add the lengths of segments \( AM \) and \( MB \).
Given:
- \( AM = 3x + 8 \)
- \( MB = 6x - 4 \)
We can express \( AB \) as follows:
\[
AB = AM + MB
\]
Substituting the given expressions for \( AM \) and \( MB \):
\[
AB = (3x + 8) + (6x - 4)
\]
Now, combine like terms:
\[
AB = 3x + 6x + 8 - 4
\]
\[
AB = 9x + 4
\]
Thus, the expression for the length of \( AB \) is:
\[
AB = 9x + 4
\]
If you need a specific value for \( AB \), you'll need to provide a value for \( x \). Otherwise, the expression above is the final answer for the length of segment \( AB \).
Given:
- \( AM = 3x + 8 \)
- \( MB = 6x - 4 \)
We can express \( AB \) as follows:
\[
AB = AM + MB
\]
Substituting the given expressions for \( AM \) and \( MB \):
\[
AB = (3x + 8) + (6x - 4)
\]
Now, combine like terms:
\[
AB = 3x + 6x + 8 - 4
\]
\[
AB = 9x + 4
\]
Thus, the expression for the length of \( AB \) is:
\[
AB = 9x + 4
\]
If you need a specific value for \( AB \), you'll need to provide a value for \( x \). Otherwise, the expression above is the final answer for the length of segment \( AB \).