Question

Find the distance between the points (6,8) and (8,-2)​

Answer 1

Answer:

$d$ ≈ $10.1980$

Step-by-step explanation:

Start with the distance formula:

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

Pair your values to your variables.

$x_1=6,x_2=8,y_1=8,y_2=-2$

Let's substitute those values into the formula.

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

Complete the operations in your parentheses.

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

Square the bases of your powers.

$d=\sqrt{4+100}$

Add.

$d=\sqrt{104}$

Find the square root of $104$:

$d$ ≈ $10.1980$

I only provided 4 digits after the decimal point; feel free to round it accordingly.