Answer:
12
Step-by-step explanation:
The distance between (-4,3,-6) and the origin is 
<h3>How to determine the distance?</h3>
The point is given as:
(x, y, z) = (-4,3,-6)
The origin is
(x, y, z) = (0,0,0)
The distance between the point and the origin is calculated as:

So, we have:

Evaluate

Hence, the distance between (-4,3,-6) and the origin is 
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When the coefficient of a term is 1 or -1, we don't write it, we just use the + or - sign. The coefficient of the c term is -1, because of the - sign in front of it and the lack of written coefficient. Any questions?
Answer:
6,226 tiles of 9 in are needed to cover an area of 400 square feet
Step-by-step explanation:
Let
A -----> an area in square feet
t(A) ---> the total number of 9 in. tiles needed
we have

For A=400 ft^2
substitute in the equation and solve for t


That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet
Answer:
<em>C. 1/(4^10)</em>
Step-by-step explanation:
<h2>Let's break it down: 4^-2 = 1/(4^2)</h2><h2>(1/(4^2))^5 = (1^5)/(4^2)^5 = 1/(4^10)</h2>