Evaluate the expression for z = -6. Write your answer in simplest form. z - 4/-z - 8 = ____

Identify Expression: Identify the expression after substituting z = -6 Substitute -6 for z in (z - 4)/(-z - 8). ((-6) - 4)/(-(-6) - 8)Substitute and Simplify: Evaluate (-6) - 4 (-6) - 4 = -10 Numerator: -10Evaluate Numerator: Evaluate -(-6) - 8 -(-6) - 8 = 6 - 8 = -2 Denominator: -2Evaluate Denominator: -10/(-2) Rewrite the fraction in simplest form. Divide both -10 and -2 by -2 to simplify. -10/(-2) = 10/2Rewrite Fraction: Simplify 10/2 10/2 = 5

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Evaluate the expression for $z = -6$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{z - 4}{-z - 8} =$ __

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

z = -6

\newline

Write your answer in simplest form.

\newline

\frac{z - 4}{-z - 8} =

Identify Expression: Identify the expression after substituting $z = -6$ $\newline$ Substitute $-6$ for $z$ in $\frac{z - 4}{-z - 8}$ . $\newline$ $\frac{(-6) - 4}{-(-6) - 8}$
Substitute and Simplify: Evaluate $(-6) - 4$ $(-6) - 4 = -10$ Numerator: $-10$
Evaluate Numerator: Evaluate $-(-6) - 8$ $-(-6) - 8 = 6 - 8 = -2$ Denominator: $-2$
Evaluate Denominator: $-\frac{10}{-2}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-10$ and $-2$ by $-2$ to simplify. $\newline$ $-\frac{10}{-2} = \frac{10}{2}$
Rewrite Fraction: Simplify $10/2$ $\newline$ $10/2 = 5$