Question

Find the distance between points A(0,0) and B(8,6).

A. 10 units
B. 9 units
C. 7 units
D. 8 units
Find the distance between points C(-10,2) and D(-7,6).

A. 5 units
B. 4 units
C. 3 units
D. 2 units

Answer 1

The distance between points A(0,0) and B(8,6) is 10 units. The distance between points C(-10,2) and D(-7,6) is 5 units.

Step-by-step explanation:

To find the distance between two points, we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For the given points A(0,0) and B(8,6), we can substitute the values into the formula:

d = sqrt((8 - 0)^2 + (6 - 0)^2) = sqrt(64 + 36) = sqrt(100) = 10 units.

Therefore, the distance between points A(0,0) and B(8,6) is 10 units. Answer choice A is correct.

Similarly, for the points C(-10,2) and D(-7,6), we can use the distance formula:

d = sqrt((-7 - -10)^2 + (6 - 2)^2) = sqrt(9 + 16) = sqrt(25) = 5 units.

Therefore, the distance between points C(-10,2) and D(-7,6) is 5 units. Answer choice A is correct.