Megan bikes 6 miles west to get from her apartment to school. after school she bikes 8 miles north to her friend izaac's house. how far is megan's apartment from izaac's house, measured in a straight line.
a. 6 miles
b. 8 miles
c. 10 miles
d. 12 miles

10 miles

If you draw what the problem is explaining, you should get a triangle. 2 of the sides should be 6 and 8.

To find the missing side, use the Pythagorean theorem to solve for the missing side.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: