Solve V = sqrt(40) * m / s | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$V=\sqrt{40}m/s$$

Solve for m

$m=\frac{\sqrt{10}Vs}{20}$
$s\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $s$.

$$Vs=\sqrt{40}m$$

Factor $40=2^{2}\times 10$. Rewrite the square root of the product $\sqrt{2^{2}\times 10}$ as the product of square roots $\sqrt{2^{2}}\sqrt{10}$. Take the square root of $2^{2}$.

$$Vs=2\sqrt{10}m$$

Swap sides so that all variable terms are on the left hand side.

$$2\sqrt{10}m=Vs$$

Divide both sides by $2\sqrt{10}$.

$$\frac{2\sqrt{10}m}{2\sqrt{10}}=\frac{Vs}{2\sqrt{10}}$$

Dividing by $2\sqrt{10}$ undoes the multiplication by $2\sqrt{10}$.

$$m=\frac{Vs}{2\sqrt{10}}$$

Divide $Vs$ by $2\sqrt{10}$.

$$m=\frac{\sqrt{10}Vs}{20}$$

Solve for V

$V=\frac{2\sqrt{10}m}{s}$
$s\neq 0$