Question

Find the distance between points H(8, 2) and K(6, 10). Round your answer to the nearest tenth.

Answer 1

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You can use the distance formula to solve this problem:

d=Square Root [(x2-x1)2 + (y2-y1)2]

Given: Points P(4,8) and Q(7,1).

Solution:

Let point P be point 1 and point Q be 2 as noted by the subscripts in the distance formula above.

Then: X2=7, X1=4 and Y2=1 and Y1=8. Substitute in to the distance formula:

d=Square Root[(7-4)2 + (1-8)2] = Square Root [(3)2 + (-7)2] = Square Root [9 + 49] = Square Root [58]

The Square of 58 = 7.6 which is rounded to nearest tenth.