Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2). Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
100
100
9.22
9.22
10
10
14
To apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2), we need to find the distance between their x-coordinates and the distance between their y-coordinates.
The distance between their x-coordinates is: 5 - (-1) = 6
The distance between their y-coordinates is: (-2) - 6 = -8
To find the length between the two points, we use the Pythagorean Theorem:
Length = √((6^2) + (-8^2))
Length = √(36 + 64)
Length = √100
Length = 10
Therefore, the length between (−1, 6) and (5, −2) is 10 units. Answer: 10.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at left parenthesis negative 2 comma negative 1 right parenthesis, and at left parenthesis 2 comma 4 right parenthesis. A straight line joins the two lines with a positive slope.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
6:40
6:40
5.57
5.57
41
41
9
To apply the Pythagorean Theorem to find the length between the two points (-2, -1) and (2, 4), we need to find the distance between their x-coordinates and the distance between their y-coordinates.
The distance between their x-coordinates is: 2 - (-2) = 4
The distance between their y-coordinates is: 4 - (-1) = 5
To find the length between the two points, we use the Pythagorean Theorem:
Length = √((4^2) + (5^2))
Length = √(16 + 25)
Length = √41
Length ≈ 6.40 (rounded to the nearest hundredth)
Therefore, the length between (-2, -1) and (2, 4) is approximately 6.40 units. Answer: 6.40.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Data points marked are point A at left parenthesis 2 comma negative 3 right parenthesis, and point B at left parenthesis 5 comma 5 right parenthesis.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
11
11
8.54
8.54
73
73
7.62
To apply the Pythagorean Theorem to find the length between the two points (2, -3) and (5, 5), we need to find the distance between their x-coordinates and the distance between their y-coordinates.
The distance between their x-coordinates is: 5 - 2 = 3
The distance between their y-coordinates is: 5 - (-3) = 8
To find the length between the two points, we use the Pythagorean Theorem:
Length = √((3^2) + (8^2))
Length = √(9 + 64)
Length = √73
Length ≈ 8.54 (rounded to the nearest hundredth)
Therefore, the length between (2, -3) and (5, 5) is approximately 8.54 units. Answer: 8.54.