Given A and B are points in nth dimensions.
E.g. (a1, a2, ..., an), (b1, b3, ..., bn)
The vector from point A to point B is given by B-A.
Taking the modulus or magnitude of this will give us the distance.
Therefore distance = || B-A ||
Answer:
R(x) = 8999.93x
Step-by-step explanation:
The original price is $9000 per unit. The unit is x, so if you buy x units, you pay 9000x.
The original price function is
R(x) = 9000x
The discount is 7 cents per unit bought, so if you buy x units, the discount is 9x in cents, or 0.09x in dollars. This discount is subtracted from the original price, so the discounted price is
R(x) = 9000x - 0.07x
R(x) = 8999.93x
Answer: R(x) = 8999.93x
Answer:
<u>P</u>
5
Step-by-step explanation:
p/5
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: 
which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get
Answer:
The length of a side of the cube-shaped container is 2,016 units
Step-by-step explanation:
step 1
Find the volume of a cube with a side length of 1008 units
The volume of a cube is equal to
where
b is the length side of the cube
we have
substitute
step 2
Find the length side of the cube-shaped container
Let
x-----> the length side of the cube-shaped container in units
we know that
The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units
so
solve for x
therefore
The length of a side of the cube-shaped container is 2,016 units
