Question

find the distance between the two points (-2,3) and (-7,-9)
Apply the Pythagorean theorem to find the distance between the two points shown on the graph.
Responses
A 11
B 12
C 13
D 14

Answer 1

Consider the two points (4, 6) and (−2, −2). Apply the Pythagorean theorem to find the distance between the points.
Responses
A8
B9
C10
D11

Answer 2

To find the distance between the two points (-2,3) and (-7,-9), we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula is:
√((x2-x1)^2 + (y2-y1)^2)

Using the points (-2,3) and (-7,-9):
x1 = -2, y1 = 3
x2 = -7, y2 = -9

Plugging these values into the distance formula:
√((-7 - (-2))^2 + (-9 - 3)^2)
√((-5)^2 + (-12)^2)
√(25 + 144)
√169
13

Therefore, the distance between the two points is 13.

The correct answer is C) 13.

Answer 3

To find the distance between the two points (4, 6) and (-2, -2), we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula is:
√((x2-x1)^2 + (y2-y1)^2)

Using the points (4, 6) and (-2, -2):
x1 = 4, y1 = 6
x2 = -2, y2 = -2

Plugging these values into the distance formula:
√((-2 - 4)^2 + (-2 - 6)^2)
√((-6)^2 + (-8)^2)
√(36 + 64)
√100
10

Therefore, the distance between the two points is 10.

The correct answer is C) 10.