Using the Pythagorean Theorem, the length between two points (x1, y1) and (x2, y2) can be found using the formula:
distance = sqrt((x2-x1)^2 + (y2-y1)^2)
In this case, point A has coordinates (2, -3) and point B has coordinates (5, 5).
Plugging the values into the formula, we get:
distance = sqrt((5-2)^2 + (5-(-3))^2)
= sqrt(3^2 + 8^2)
= sqrt(9 + 64)
= sqrt(73)
Rounding the answer to the nearest hundredth, the length between the two points is approximately 8.54.
Therefore, the correct answer is D) 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.
A. 73
B. 7.62
C. 11
D. 8.54
1 answer