Solve the formula for the specified variable.
-$c=\sqrt{a^{2}+b^{2}}$ for $b$
A) $b=\sqrt{c^{2}-a^{2}}$
B) $b=\sqrt{a^{2}-c^{2}}$
C) $b=\sqrt{b^{2}-c^{2}}$
D) $b=\sqrt{c^{2}-b^{2}}$

Question

Quizplus · Accepted Answer

To solve for $b$, square both sides of the equation to get rid of the square root, resulting in $c^2 = a^2 + b^2$. Then, isolate $b^2$ by subtracting $a^2$ from both sides, which gives $b^2 = c^2 - a^2$. Finally, take the square root of both sides to solve for $b$, resulting in $b = \sqrt{c^2 - a^2}$.

Solve the Formula for the Specified Variable c=a2+b2c=\sqrt{a^{2}+b^{2}}c=a2+b2​ For bbb A) b=c2−a2b=\sqrt{c^{2}-a^{2}}b=c2−a2​ B) b=a2−c2b=\sqrt{a^{2}-c^{2}}b=a2−c2​

Solve the Formula for the Specified Variable $c=\sqrt{a^{2}+b^{2}}$ For $b$ A) $b=\sqrt{c^{2}-a^{2}}$ B) $b=\sqrt{a^{2}-c^{2}}$