Solve (AB)=sqrt{(-4-8)^2+(2-7)^2}

$$( A B ) = \sqrt { ( - 4 - 8 ) ^ { 2 } + ( 2 - 7 ) ^ { 2 } }$$

Solve for A

$$A=\frac{13}{B}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Subtract 8 from -4 to get -12.

$$AB=\sqrt{\left(-12\right)^{2}+\left(2-7\right)^{2}}$$

Calculate -12 to the power of 2 and get 144.

$$AB=\sqrt{144+\left(2-7\right)^{2}}$$

Subtract 7 from 2 to get -5.

$$AB=\sqrt{144+\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$AB=\sqrt{144+25}$$

Add 144 and 25 to get 169.

$$AB=\sqrt{169}$$

Calculate the square root of 169 and get 13.

$$AB=13$$

The equation is in standard form.

$$BA=13$$

Divide both sides by B.

$$\frac{BA}{B}=\frac{13}{B}$$

Dividing by B undoes the multiplication by B.

$$A=\frac{13}{B}$$

Solve for B

$$B=\frac{13}{A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Subtract 8 from -4 to get -12.

$$AB=\sqrt{\left(-12\right)^{2}+\left(2-7\right)^{2}}$$

Calculate -12 to the power of 2 and get 144.

$$AB=\sqrt{144+\left(2-7\right)^{2}}$$

Subtract 7 from 2 to get -5.

$$AB=\sqrt{144+\left(-5\right)^{2}}$$

Calculate -5 to the power of 2 and get 25.

$$AB=\sqrt{144+25}$$

Add 144 and 25 to get 169.

$$AB=\sqrt{169}$$

Calculate the square root of 169 and get 13.

$$AB=13$$

Divide both sides by A.

$$\frac{AB}{A}=\frac{13}{A}$$

Dividing by A undoes the multiplication by A.

$$B=\frac{13}{A}$$