Question

DISTANCE FORMULA PRACTICE 1-3

USE THE DISTANCE FORMULA (IN YOUR NOTES OR ON THE EOC REFERENCE SHEET) TO FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. SHOW ALL STEPS! ROUND DECIMALS TO THE NEAREST TENTH.


1. (9, 5) AND (-3, 5)

2. (-1, 6) AND (7, 10)

3. (0, 8) AND (6, 0)

Answer 1

1. 12 units

2. 8.9 units

3. 10

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steps

1.√ ( − 3 − 9 ) ^2 + ( 5 − 5 ) ^2

√ ( − 12 ) ^2 + 0

√ 144

√ 144 ≈ 12

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2. √ ( 7 − (− 1) ) ^2 + ( 10 − 6 ) ^2

√ ( 7 + 1 )^ 2 + ( 10 − 6 ) ^2

√ ( 8 )^ 2 + ( 4 ) ^2

√ 64 + 16

√ 80 ≈ 8.94427190999916

round up to 8.9

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3. √ ( 6 − 0 ) ^2 + ( 0 − 8 ) ^2

√ ( 6 ) ^2 + ( − 8 ) ^2

√ 36 + 64

√ 100 ≈ 10