Question

Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!

Answer 1

Answer:

$d=\sqrt{149}\approx12.21$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the two points (-1, 7) and (-8, -3).

Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:

$d=\sqrt{(-8-(-1))^2+(-3-7)^2}$

Evaluate:

$d=\sqrt{(-8+1)^2+(-10)^2}$

Evaluate:

$d=\sqrt{(-7)^2+(-10)^2}$

Square:

$d=\sqrt{49+100}$

Add:

$d=\sqrt{149}\approx12.21$

This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.