# What is the distance between #(-12,4)# and #(8,-5)#?

##### 2 Answers

Jun 5, 2018

#### Answer:

#### Explanation:

#"using the "color(blue)"distance formula"#

#•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#"let "(x_1,y_1)=(-12,4)" and "(x_2,y_2)=(8,-5)#

#d=sqrt((8-(-12))^2+(-5-4)^2)#

#color(white)(d)=sqrt(20^2+(-9)^2)=sqrt481~~21.93#

Jun 5, 2018

#### Answer:

#### Explanation:

You can calculate from hypotenuse formula: