Answer:
[tex]d[/tex] ≈ [tex]10.1980[/tex]
Step-by-step explanation:
Start with the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Pair your values to your variables.
[tex]x_1=6,x_2=8,y_1=8,y_2=-2[/tex]
Let's substitute those values into the formula.
[tex]d=\sqrt{(8-6)^2+(-2-8)^2}[/tex]
Complete the operations in your parentheses.
[tex]d=\sqrt{(2)^2+(-10)^2}[/tex]
Square the bases of your powers.
[tex]d=\sqrt{4+100}[/tex]
Add.
[tex]d=\sqrt{104}[/tex]
Find the square root of [tex]104[/tex]:
[tex]d[/tex] ≈ [tex]10.1980[/tex]
I only provided 4 digits after the decimal point; feel free to round it accordingly.
