You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data
Answer:
???
Step-by-step explanation:
Answer:
l = 6 inches
Step-by-step explanation:
We have,
The volume of a rectangular prism with a square base is
.
Height of the prism is 5 in
It is required to find the length of the edge of the square base. Let it is l.
The formula of the volume of the rectangular prism is given by :

A is area of base of prism
It has a square base, l =b

So, the length of the edge of the square base is 6 inches.
Answer: x=14.4
Step-by-step explanation:
Using the determinant method, the cross product is

so the answer is B.
Or you can apply the properties of the cross product. By distributivity, we have
(3i + 8j - 6k) x (-4i - 2j - 3k)
= -12(i x i) - 32(j x i) + 24(k x i) - 6(i x j) - 16(j x j) + 12(k x j) - 9(i x k) - 24(j x k) + 18(k x k)
Now recall that
- (i x i) = (j x j) = (k x k) = 0 (the zero vector)
- (i x j) = k
- (j x k) = i
- (k x i) = j
- (a x b) = -(b x a) for any two vectors a and b
Putting these rules together, we get
(3i + 8j - 6k) x (-4i - 2j - 3k)
= -32(-k) + 24j - 6k + 12(-i) - 9(-j) - 24i
= (-12 - 24)i + (24 + 9)j + (32 - 6)k
= -36i + 33j + 26k