Answer:
d= 10.
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
1. Name the variables.
[tex]x_1=-6\\y_1=-3\\x_2=-6\\y_2=7[/tex]
2. Substitute the variables by the values in the formula.
[tex]d=\sqrt{((-6)-(-6))^2+((7)-(-3))^2}\\ \\[/tex]
3. Calculate and sinplify.
[tex]d=\sqrt{(-6+6)^2+(7+3)^2}\\\\d=\sqrt{(0)^2+(10)^2}\\ \\d=\sqrt{0+(100}\\ \\d=\sqrt{100}\\ \\ d=10[/tex]
4. Express your result.
d= 10.
