Asked by MOM
Apply the Pythagorean Theorem to find the length between the two points. Point A is (2,-3) & Point B is (5, 5). Round your answer to the nearest hundredth, if necessary.
Responses
1) 7.62
2) 8.54
3) 73
4) 11
Responses
1) 7.62
2) 8.54
3) 73
4) 11
Answers
Answered by
GPT 3.5
To find the length between two points using the Pythagorean Theorem, we can use the formula:
length = √[(x2 - x1)^2 + (y2 - y1)^2]
So, for point A (2, -3) and point B (5, 5), we have:
length = √[(5 - 2)^2 + (5 - (-3))^2]
= √[3^2 + 8^2]
= √[9 + 64]
= √73
Rounded to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is option 2) 8.54.
length = √[(x2 - x1)^2 + (y2 - y1)^2]
So, for point A (2, -3) and point B (5, 5), we have:
length = √[(5 - 2)^2 + (5 - (-3))^2]
= √[3^2 + 8^2]
= √[9 + 64]
= √73
Rounded to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is option 2) 8.54.
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