Solve for all values of c in simplest form. 72=|8c| Answer: c=

Given Equation: We are given the equation 72 = |8c|. The absolute value of a number is always non-negative, and it represents the distance of that number from zero on the number line. To solve for c, we need to consider both the positive and negative scenarios that could result in the absolute value being 72.Positive Scenario: First, let's consider the positive scenario where 8c itself is positive. In this case, we can write the equation without the absolute value as 8c = 72. Now, we need to solve for c by dividing both sides of the equation by 8. c = 72 / 8 c = 9Negative Scenario: Next, let's consider the negative scenario where 8c is negative, which would also result in the absolute value being 72. In this case, we can write the equation as 8c = -72. Again, we solve for c by dividing both sides of the equation by 8. c = -72 / 8 c = -9

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Solve for all values of
c in simplest form.

72=|8c|
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $72=|8 c|$ $\newline$ Answer: $c=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

c

in simplest form.

\newline

72=|8 c|

\newline

Answer:

c=

Given Equation: We are given the equation $72 = |8c|$ . The absolute value of a number is always non-negative, and it represents the distance of that number from zero on the number line. To solve for $c$ , we need to consider both the positive and negative scenarios that could result in the absolute value being $72$ .
Positive Scenario: First, let's consider the positive scenario where $8c$ itself is positive. In this case, we can write the equation without the absolute value as $8c = 72$ . Now, we need to solve for $c$ by dividing both sides of the equation by $8$ . $\newline$ $c = \frac{72}{8}$ $\newline$ $c = 9$
Negative Scenario: Next, let's consider the negative scenario where $8c$ is negative, which would also result in the absolute value being $72$ . In this case, we can write the equation as $8c = -72$ . Again, we solve for $c$ by dividing both sides of the equation by $8$ . $\newline$ $c = -72 / 8$ $\newline$ $c = -9$