Find the distance between the points (0.9,7.4) and (-4.7,5.4). Give an exact answer and an approximation to three decimal places. What is the exact distance and approximation between the points...

Find the distance between the points (0.9,7.4) and (-4.7,5.4).

Give an exact answer and an approximation to three decimal places.

What is the exact distance and approximation between the points

(0.9,7.4) and (-4.7,5.4)?

Asked on by monique06

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durbanville | High School Teacher | (Level 2) Educator Emeritus

Posted on

To find the disance between the two points use the distance formula:

`D= sqrt( (x_(1) -x_(2))^2 +(y_(1)- y_(2))^2)`

Now substitute the values:

`D= sqrt((0,9- (-4.7)) ^2 + (7.4 - 5.4)^2)`

`D=sqrt((5.6)^2 + (2)^2)`

`D=sqrt((31.36) + (4))`

`D= sqrt(35.36)`

Ans:

To three decimal places the answer is 5.946 and

Actual answer is `sqrt35.36`  (can't be simplified)

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