Question

If AG = 7x+9 and GB = 12x - 6, find the length of AB

(1 point)
AB=

Answer 1

To find the length of \( AB \), we can start by adding the lengths of \( AG \) and \( GB \):

\[
AB = AG + GB
\]

Given:
\[
AG = 7x + 9
\]
\[
GB = 12x - 6
\]

Now, substituting the expressions for \( AG \) and \( GB \) into the equation for \( AB \):

\[
AB = (7x + 9) + (12x - 6)
\]

Combining like terms:

\[
AB = 7x + 12x + 9 - 6
\]
\[
AB = 19x + 3
\]

So, the expression for the length of \( AB \) in terms of \( x \) is:

\[
AB = 19x + 3
\]

If you have a specific value for \( x \), you can substitute it into the equation to find the numeric length of \( AB \). If no value for \( x \) is provided, \( AB \) remains as \( 19x + 3 \).