Answer:
4.33 : 6.49
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