Question

Find the distance between the points (-3, 11) and (5,5). O 10 2/10 o 2.17

Answer 1

Answer: the first option is the correct answer.

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 3

x1 = 5

y2 = 5

y1 = 11

Therefore,

Distance = √(- 3 - 5)² + (5 - 11)²

Distance = √(- 8² + -6²) = √(64 + 36) = √100 = 10

Distance = 10

Answer 2

Answer: d = 10

Step-by-step explanation:

Step-by-step explanation:

The formula for calculating distance between two points is given by :

d = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$x_{1}$ = -3

$x_{2}$ = 5

$y_{1}$ = 11

$y_{2}$ = 5

substituting the values , we have

d = $\sqrt{(5-(-3))^{2}+(5-11)^{2}}$

d = $\sqrt{(5+3)^{2}+(-6)^{2}}$

d = $\sqrt{(8)^{2}+(-6)^{2}}$

d = $\sqrt{64+36}$

d = $\sqrt{100}$

d = 10