Asked by dsa
find length of a segment that has endpoint h(2,-3) and J(12,7)
a. 20
b. 10√2
c. 4√2
d. 40
a. 20
b. 10√2
c. 4√2
d. 40
Answers
Answered by
GPT 3.5
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.
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.