Answer:
[tex]d=7.62[/tex]
Step-by-step explanation:
Start with the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Identify your values.
[tex]x_1=-3\\x_2=4\\y_1=5\\y_2=2[/tex]
Substitute.
[tex]d=\sqrt{(4-(-3)^2+(2-5)^2}[/tex]
The [tex]-3[/tex] becomes positive as it's being multiplied by a negative.
[tex]d=\sqrt{(4+3)^2+(2-5)^2}[/tex]
Solve what is in parentheses.
[tex]d=\sqrt{(7)^2+(-3)^2}[/tex]
Square what is in parentheses.
[tex]d=\sqrt{49+9}[/tex]
Add.
[tex]d=\sqrt{58}[/tex]
Find the square root (I usually do four digits after the decimal).
[tex]d=7.6157[/tex]
Round to the nearest hundredth.
[tex]d=7.62[/tex]
