debraw748
Answered

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Find the value of this expression if [tex]\( x = 9 \)[/tex].

[tex]\[
\frac{x^2 - 9}{x - 7}
\][/tex]

Enter the correct answer.

Sagot :

GinnyAnswer
Let's find the value of the given expression when [tex]\( x = 9 \)[/tex]:

[tex]\[ \frac{x^2 - 9}{x - 7} \][/tex]

First, substitute [tex]\( x = 9 \)[/tex] into the expression:

[tex]\[ \frac{9^2 - 9}{9 - 7} \][/tex]

Calculate the numerator and the denominator separately:
- The numerator: [tex]\( 9^2 - 9 \)[/tex]

[tex]\[ 9^2 = 81 \quad \text{so} \quad 81 - 9 = 72 \][/tex]

- The denominator: [tex]\( 9 - 7 \)[/tex]

[tex]\[ 9 - 7 = 2 \][/tex]

Then, divide the numerator by the denominator:
[tex]\[ \frac{72}{2} = 36 \][/tex]

Thus, the value of the expression is [tex]\( 36 \)[/tex].

Therefore, the correct answer is:
[tex]\[ 36 \][/tex]
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