Question

How would I find he distance?

Answer 1

The distance from the point to the plane is 21. 7

How to determine the distance

From the information given, we have the following deductions;

The plane 9x - y - 4z = -52

• A = 9
• B = -1
• C = -4
• D = -52

The points ( 3, 2 , -2 ) are designated x ,y , z and x = 3 , y = 2, z = -2

The formula for a point to a plane is expressed as;

Distance = $\frac{|Ax + Bx + Cx + Dx}{\sqrt{A^2 + B^2 + C^2} }$

Substitute the values

Distance = $\frac{|9(3) + -1(2) + -4(-2) + (-52)|}{\sqrt{(3)^2 + (2)^2 + (-2)^2} }$

Distance = $\frac{27 + 2 + 8 + 52}{\sqrt{17} }$

Distance = 21. 7

Thus, the distance from the point to the plane is 21. 7

Learn more about distance here:

brainly.com/question/1597347

#SPJ1