Solve dx_{13}=sqrt{(5)^2+(-12)^2}

$$d x _ { 13 } = \sqrt { ( 5 ) ^ { 2 } + ( - 12 ) ^ { 2 } }$$

Solve for d

$$d=\frac{13}{x_{13}}$$

$$x_{13}\neq 0$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$dx_{13}=\sqrt{25+\left(-12\right)^{2}}$$

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

$$dx_{13}=\sqrt{25+144}$$

Add 25 and 144 to get 169.

$$dx_{13}=\sqrt{169}$$

Calculate the square root of 169 and get 13.

$$dx_{13}=13$$

The equation is in standard form.

$$x_{13}d=13$$

Divide both sides by x_{13}.

$$\frac{x_{13}d}{x_{13}}=\frac{13}{x_{13}}$$

Dividing by x_{13} undoes the multiplication by x_{13}.

$$d=\frac{13}{x_{13}}$$

Solve for x_13

$$x_{13}=\frac{13}{d}$$

$$d\neq 0$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$dx_{13}=\sqrt{25+\left(-12\right)^{2}}$$

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

$$dx_{13}=\sqrt{25+144}$$

Add 25 and 144 to get 169.

$$dx_{13}=\sqrt{169}$$

Calculate the square root of 169 and get 13.

$$dx_{13}=13$$

Divide both sides by d.

$$\frac{dx_{13}}{d}=\frac{13}{d}$$

Dividing by d undoes the multiplication by d.

$$x_{13}=\frac{13}{d}$$