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Question 1 of 6
Find the distance between each pair of points.
Round your answer to the nearest tenth.
Incorrect
First, label the given coordinates
A(-4,4)=A(x1,y1)
B(1,3)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2−x1)2+(y2−y1)2 |
Distance Formula |
|
= |
√(1−(−4))2+(3−4)2 |
Plug in the coordinates |
|
= |
√52+(-1)2 |
Simplify |
|
= |
√25+1 |
|
= |
√26 |
Take the square root |
|
= |
5.099019514 |
|
= |
5.1 units |
Round to the nearest tenth |
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Question 2 of 6
Find the distance between each pair of points.
Round your answer to the nearest tenth.
Incorrect
First, label the given coordinates
A(1,1)=A(x1,y1)
B(4,3)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2−x1)2+(y2−y1)2 |
Distance Formula |
|
= |
√(4−1)2+(3−1)2 |
Plug in the coordinates |
|
= |
√32+22 |
Simplify |
|
= |
√9+4 |
|
= |
√13 |
Take the square root |
|
= |
3.605551275 |
|
= |
3.6 units |
Round to the nearest tenth |
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Question 3 of 6
Find the distance between A(-3,5) and B(2,1)
Round your answer to 2 decimal places
Incorrect
First, label the given coordinates
A(-3,5)=A(x1,y1)
B(2,1)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2-x1)2+(y2-y1)2 |
Distance Formula |
|
= |
√(2-(-3))2+(1-5)2 |
Plug in the coordinates |
|
= |
√52+(-4)2 |
Simplify |
|
= |
√25+16 |
|
= |
√41 |
Take the square root |
|
= |
6.403124 |
|
= |
6.40 |
Rounded to 2 decimal places |
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Question 4 of 6
Find the distance between A(1.5,1) and B(4,-2)
Round your answer to 2 decimal places
Incorrect
First, label the given coordinates
A(1.5,1)=A(x1,y1)
B(4,-2)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2-x1)2+(y2-y1)2 |
Distance Formula |
|
= |
√(1.5-42+(1-(-2))2) |
Plug in the coordinates |
|
= |
√(-2.5)2+32 |
Simplify |
|
= |
√6.25+9 |
|
= |
√15.25 |
Take the square root |
|
= |
3.905125 |
|
= |
3.91 |
Rounded to 2 decimal places |
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Question 5 of 6
Find the distance between A(-1,5) and B(0,-3)
Round your answer to 2 decimal places
Incorrect
First, label the given coordinates
A(-1,5)=A(x1,y1)
B(0,-3)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2-x1)2+(y2-y1)2 |
Distance Formula |
|
= |
√(-1-0)2+(5-(-3))2 |
Plug in the coordinates |
|
= |
√(-1)2+82 |
Simplify |
|
= |
√1+64 |
|
= |
√65 |
Take the square root |
|
= |
`8.062258 |
|
= |
8.06 |
Rounded to 2 decimal places |
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Question 6 of 6
Find the distance between A(-2,2) and B(2,-1)
Round your answer to 2 decimal places
Incorrect
First, label the given coordinates
A(-2,2)=A(x1,y1)
B(2,-1)=B(x2,y2)
Solve using the Distance Formula
Distance |
= |
√(x2-x1)2+(y2-y1)2 |
Distance Formula |
|
= |
√(-2-2)2+(2-(-1))2 |
Plug in the coordinates |
|
= |
√(-4)2+32 |
Simplify |
|
= |
√16+9 |
|
= |
√25 |
Take the square root |
|
= |
5.00 |
|
= |
5 |
Rounded to 2 decimal places |