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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Using Midpoint and Distance Formulas

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Exercise 31 Page 401

Look at the Distance Formula and compare.

Error: The square root is missing.
Correct answer: AB≈7.8

Practice makes perfect

When finding the distance between two points, we can use the Distance Formula. AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)Comparing this to the calculations in the book, we can notice that the square root is missing. The mistake was made in the very first step, which should have looked like the following equation. AB=sqrt((6-1)^2+[2-(-4)]^2) Now, let's calculate the distance using the corrected starting point.

AB=sqrt((6-1)^2+[2-(-4)]^2)

Subtract term

AB=sqrt(5^2+[2-(-4)]^2)

a-(- b)=a+b

AB=sqrt(5^2+6^2)

Calculate power

AB=sqrt(25+36)

Add terms

AB=sqrt(61)

Use a calculator

AB=7.81024...

Round to 1 decimal place(s)

AB≈7.8

The correct distance is approximately 7.8.

Subchapter links

Communicate Your Answer p.395

Monitoring Progress p.396-399

Exercises p.400-402