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:
C. X = 10.247
Step-by-step explanation:
X -4.21 = 6.047
just you will add 4.21 to both sides of the equation
X -4.21 + 4.21 = 6.047 + 4.21
X = 10.247
Answer:
10.05 meters
Step-by-step explanation:
If the diameter is 3.2 meters, then the radius is 1.6 meters.
Use the circumference formula, C = 2
r, and solve for C
C = 2
r
C = 2
(1.6)
C = 3.2
C = 10.05
So, to the nearest hundredth of a meter, the circumference is 10.05 meters
16:24 students made at least 80% on the test. The question is what is the ratio of students who scored below an 80% to the total number of students. 8:24 would be the right answer, but since it is asking for the answer in the simplest form, it would be 1:3.