To find the length between the two points, you can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two points form a right triangle with the line connecting them as the hypotenuse. The length of one side of the triangle is the difference in the x-coordinates (2 - (-2) = 4), and the length of the other side is the difference in the y-coordinates (4 - (-1) = 5).
Using the Pythagorean Theorem, we can find the length of the hypotenuse (d) as follows:
d^2 = (difference in x-coordinates)^2 + (difference in y-coordinates)^2
d^2 = 4^2 + 5^2
d^2 = 16 + 25
d^2 = 41
Taking the square root of both sides to find d, we get:
d = √41
Rounding to the nearest hundredth, the length between the two points is approximately 6.40.
Therefore, the correct answer is C. 6.40.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary
the coordinates: (2, 4) (-2, -1)
A. 41
B. 9
C. 6.40
D. 5.57
5 answers
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary
the coordinates: (5, 5) (2, -3)
A. 73
B. 11
C. 8.54
D. 7.62
the coordinates: (5, 5) (2, -3)
A. 73
B. 11
C. 8.54
D. 7.62
To find the length between the two points, you can use the Pythagorean Theorem. The length of one side of the triangle is the difference in the x-coordinates (5 - 2 = 3), and the length of the other side is the difference in the y-coordinates (5 - (-3) = 8).
Using the Pythagorean Theorem, we can find the length of the hypotenuse (d) as follows:
d^2 = (difference in x-coordinates)^2 + (difference in y-coordinates)^2
d^2 = 3^2 + 8^2
d^2 = 9 + 64
d^2 = 73
Taking the square root of both sides to find d, we get:
d = √73
Rounding to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is C. 8.54.
Using the Pythagorean Theorem, we can find the length of the hypotenuse (d) as follows:
d^2 = (difference in x-coordinates)^2 + (difference in y-coordinates)^2
d^2 = 3^2 + 8^2
d^2 = 9 + 64
d^2 = 73
Taking the square root of both sides to find d, we get:
d = √73
Rounding to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is C. 8.54.
all correct answers:
1) D. 2.83
2) C. 5.39
3) B. 10
4) C. 6:40
5) C. 8.54
1) D. 2.83
2) C. 5.39
3) B. 10
4) C. 6:40
5) C. 8.54
Apologies for the incorrect response to the first question. Thank you for providing the correct answers:
1) D. 2.83
2) C. 5.39
3) B. 10
4) C. 6.40
5) C. 8.54
1) D. 2.83
2) C. 5.39
3) B. 10
4) C. 6.40
5) C. 8.54
1 answer