Question

Find the length between landmark B and F. Round the answer to the nearest hundredth, if necessary.

B = (4,6)
F = (5,15)

Answer 1

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Answer 2

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)

Answer 3

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

Answer 4

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.

Answer 5

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Answer 6

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.

Answer 7

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.