Answer :
To rearrange the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to highlight the measure in degrees Celsius ([tex]\( C \)[/tex]), follow these steps:
1. Subtract 32 from both sides: You want to isolate the term with [tex]\( C \)[/tex], so start by getting rid of the "+32" on the right side. This can be done by subtracting 32 from both sides of the equation:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by [tex]\(\frac{5}{9}\)[/tex]: Next, you need to solve for [tex]\( C \)[/tex]. The term [tex]\(\frac{9}{5}C\)[/tex] means that [tex]\( C \)[/tex] is being multiplied by [tex]\(\frac{9}{5}\)[/tex]. To isolate [tex]\( C \)[/tex], do the opposite operation, which is multiplying both sides by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
So, the rearranged formula that highlights the measure in degrees Celsius is:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This formula allows you to convert a temperature from Fahrenheit to Celsius.
1. Subtract 32 from both sides: You want to isolate the term with [tex]\( C \)[/tex], so start by getting rid of the "+32" on the right side. This can be done by subtracting 32 from both sides of the equation:
[tex]\[
F - 32 = \frac{9}{5}C
\][/tex]
2. Multiply both sides by [tex]\(\frac{5}{9}\)[/tex]: Next, you need to solve for [tex]\( C \)[/tex]. The term [tex]\(\frac{9}{5}C\)[/tex] means that [tex]\( C \)[/tex] is being multiplied by [tex]\(\frac{9}{5}\)[/tex]. To isolate [tex]\( C \)[/tex], do the opposite operation, which is multiplying both sides by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
So, the rearranged formula that highlights the measure in degrees Celsius is:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]
This formula allows you to convert a temperature from Fahrenheit to Celsius.
