The endpoints of a line segment are a(-7, -2) and b(2, 4). the segment partition is (-3.4, 0.4). find the ratio.

4.33 : 6.49

Step-by-step explanation:

Given endpoints as A(-7,-2) and (2,4) find the length of the segment

d=√ (x₂-x₁) + (y₂-y₁)²

d=√ (2--7)² + (4--2)²

d=√ 9² + 6²

d= √ 81 +36

d=√117 =10.82

The partition is at (-3.4,0.4)

The length from A to the partition will be

A(-7,-2)    (-3.4,0.4)

√ (-3.4--7)² + (0.4--2)²

√ 3.6²+2.4²

√18.72 = 4.33

Length of segment from partition to end point B

(-3.4,0.4)   ,  B(2,4)

√(2--3.4)²+(4-0.4)²

√ 5.4² + 3.6²

√42.12

=6.49

The ration that results from the partition of the segment is;

4.33 : 6.49

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