Find the length between landmark B and F. Round the answer to the nearest hundredth, if necessary.
B = (4,6)
F = (5,15)
Using the distance formula, the length between two points is given by:
√[(x2 - x1)² + (y2 - y1)²]
Plugging in the coordinates for B and F:
√[(5 - 4)² + (15 - 6)²]
= √[(1)² + (9)²]
= √[1 + 81]
= √82
Rounding to the nearest hundredth:
√82 ≈ 9.06
Therefore, the length between landmark B and F is approximately 9.06.
OMG, I've been stuck on that same question for about a few days!!! Thank you so much for the help!!
You're welcome! I'm glad I could help you. If you have any more questions, feel free to ask.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
D = (1, 4)
C = (3, 4)
B = (3, 2)
A = (1, 2)
To find the length of the diagonal of the square, we can use the distance formula between points D and B:
√[(x2 - x1)² + (y2 - y1)²]
Plugging in the coordinates for D and B:
√[(3 - 1)² + (2 - 4)²]
= √[(2)² + (-2)²]
= √[4 + 4]
= √8
Rounding to the nearest hundredth:
√8 ≈ 2.83
Therefore, the length of the diagonal of the square is approximately 2.83.
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3). Round your answer to the nearest hundredth, if necessary.
responses
29
2.65
4.58
5.39
Using the distance formula, the length between two points is given by:
√[(x2 - x1)² + (y2 - y1)²]
Plugging in the coordinates (2, 5) and (7, 3):
√[(7 - 2)² + (3 - 5)²]
=√[(5)² + (-2)²]
=√[25 + 4]
=√29
Rounding to the nearest hundredth:
√29 ≈ 5.39
Therefore, the length between (2, 5) and (7, 3) is approximately 5.39.