Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

13

Step-by-step explanation:

The difference between the x-values is 5.

The difference between the y-values is 12.

These are the non-hypotenuse sides.

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

c = 13

The distance between the two points is 13.

Answer 2

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }$

Evaluate the double negative.

$d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }$

Evaluate the parentheses.

$d = \sqrt{(5)^2 + (-12)^2 }$

Evaluate the exponents.

$d = \sqrt{(25) + (144) }$

Add.

$d = \sqrt{(169) }$

Evaluate the square root.

$d = 13$

13 units

Hope this helps!