ERROR ANALYSIS In Exercises 31 describe and correct the error in finding the distance between
A(6,2) and B(1,-4).
31.
X
AB = (6 - 1)^2 + [2-(-4)]^2
=5^2 + 6^2
= 25 + 36
= 61

The student is doing great so far. However, they forgot to take the square root of that result to get the final answer of

The exact distance is which approximates to roughly 7.81024967590666

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This is what the steps should look like

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

so, converting firstly the mixed fractions to improper fractions and then "adding".