Reflection and Discussion
Casey was given the problem 57 + 274. He knows that addition is commutative, so the answer
to 57 + 274 is the same as 274 +57.
He wondered whether it was easier to solve 57 + 274 OR 274 +57.
What do you think?

How to choose the sign of the radical in the denominator of the formula for the distance from a point to a line.

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

If you could answer these your a life saver