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Evaluate the expression when [tex]\(a = 4\)[/tex] and [tex]\(c = 2\)[/tex].

[tex]\[
\frac{4c + a^2}{c}
\][/tex]

Simplify your answer as much as possible.

Sagot :

GinnyAnswer
Sure! Let's evaluate the expression [tex]\(\frac{4c + a^2}{c}\)[/tex] with the given values [tex]\(a = 4\)[/tex] and [tex]\(c = 2\)[/tex].

1. Substitute the given values into the expression:

[tex]\[ \frac{4 \cdot 2 + 4^2}{2} \][/tex]

2. Calculate the exponent and multiplication:
- First, [tex]\(4^2 = 16\)[/tex].
- Second, [tex]\(4 \cdot 2 = 8\)[/tex].

So the expression now looks like this:
[tex]\[ \frac{8 + 16}{2} \][/tex]

3. Add the numbers in the numerator:
[tex]\[ 8 + 16 = 24 \][/tex]

Now, the expression is:
[tex]\[ \frac{24}{2} \][/tex]

4. Divide the numerator by the denominator:
[tex]\[ \frac{24}{2} = 12 \][/tex]

So, the value of the expression when [tex]\(a = 4\)[/tex] and [tex]\(c = 2\)[/tex] is [tex]\(\boxed{12}\)[/tex].
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