Question
Evaluate the expression for \( c=7 \). Write your answer in simplest form. \( \frac{c-2}{c-9}=\square \)
Ask by Kelly Gross. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-\frac{5}{2}\)
Solution
To evaluate the expression \(\frac{c-2}{c-9}\) for \(c = 7\):
\[
\frac{7 - 2}{7 - 9} = \frac{5}{-2} = -\frac{5}{2}
\]
**Answer:** \(-\frac{5}{2}\)
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To evaluate the expression \( \frac{c-2}{c-9} \) for \( c=7 \), we substitute 7 for \( c \): \[ \frac{7-2}{7-9} = \frac{5}{-2} = -\frac{5}{2}. \] So, the answer in simplest form is \( -\frac{5}{2} \).