To find the length between two points using the Pythagorean Theorem, we need to find the difference between the x-coordinates and the y-coordinates of the two points and then apply the theorem.
For point A(2, -3), the x-coordinate is 2 and the y-coordinate is -3.
For point B(5, 5), the x-coordinate is 5 and the y-coordinate is 5.
The difference between the x-coordinates is 5 - 2 = 3.
The difference between the y-coordinates is 5 - (-3) = 8.
Using the Pythagorean Theorem, the length between the two points is found by taking the square root of the sum of the squares of the differences:
Length = sqrt(3^2 + 8^2)
Length = sqrt(9 + 64)
Length = sqrt(73)
Rounded to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is:
8.54
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
7.62
1 answer
1 answer