Calculate the requested distance.
-The distance from the point S(5, -3, -8) to the plane 3x + 4y = -6
A) $\frac { 33 } { 5 }$
B) $\frac { 9 } { 5 }$
C) $\frac { 9 } { 25 }$
D) $\frac { 21 } { 25 }$

Question

Calculate the requested distance.
-The distance from the point S(5, -3, -8) to the plane 3x + 4y = -6 
A) $\frac { 33 } { 5 }$
B) $\frac { 9 } { 5 }$
C) $\frac { 9 } { 25 }$
D) $\frac { 21 } { 25 }$

Quizplus · Accepted Answer

The distance from a point to a plane is given by the formula: $ \frac{|ax_1 + by_1 + cz_1 + d|}{\sqrt{a^2 + b^2 + c^2}} $. For the plane 3x + 4y = -6, a = 3, b = 4, c = 0, d = 6. Substituting S(5, -3, -8) into the formula gives $\frac{|3(5) + 4(-3) + 0(-8) + 6|}{\sqrt{3^2 + 4^2 + 0^2}} = \frac{9}{5}$.

Calculate the Requested Distance 335\frac { 33 } { 5 }533​

Calculate the Requested Distance $\frac { 33 } { 5 }$