find length of a segment that has endpoint h(2,-3) and J(12,7)

Question

a. 20
b. 10√2
c. 4√2
d. 40

Answer 1

To find the length of a segment with endpoints (2,-3) and (12,7), we can use the distance formula.

The distance formula is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Plugging in the values, we have:

d = √((12 - 2)² + (7 - (-3))²)
= √((10)² + (10)²)
= √(100 + 100)
= √200
= 10√2

Therefore, the length of the segment is 10√2.

Thus, the answer is b. 10√2.