Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes
Step 1: Simplify both sides of the equation.
Step 2: Subtract 18.25x from both sides.
Step 3: Subtract 22 from both sides.
Step 4: Divide both sides by 6.25
Therefore, the total cost for each health club will be the same after 4 months.
