Answer:
A)11
Step-by-step explanation:
These are matrices one dimensional with one column and 3 rows each.
-The product of the matrices is obtained by multiplying the correspond values and summing up;
![pq=\left[\begin{array}{ccc}3\\2\\-1\end{array}\right] \times\left[\begin{array}{ccc}5\\-1\\2\end{array}\right] \\\\\\\\=(3\times 5)+(2\times -1)+(-1\times 2)\\\\=15+-2+-2\\\\=11](https://tex.z-dn.net/?f=pq%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5C%5C-1%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C-1%5C%5C2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5C%5C%3D%283%5Ctimes%205%29%2B%282%5Ctimes%20-1%29%2B%28-1%5Ctimes%202%29%5C%5C%5C%5C%3D15%2B-2%2B-2%5C%5C%5C%5C%3D11)
Hence, the product of p and q is 11
Answer:

Step-by-step explanation:
The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)
= √(9 +b² +c²)
Answer: 72.5
Step-by-step explanation:
The average of 2 points is the midpoint so if I add 70 and 75 to get 145 and divide by the number of numbers which is 2 I get 72.5
Answer:
432m^3
Step-by-step explanation:
The computation of the volume of the larger pyramid is shown below:
Let us assume the volume of the larger pyramid be x
Given that
The ratio of two pyramids is 25:36
We can say that
The Ratio of side = (The ratio of surface area)^
= 
Now
ratio of volume = (ratio of side)^3 =
= 125 : 216
Based on the above information, the calculation is as follows

So,

= 432m^3
1. Each term in this polynomial has a common factor of
:

2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.



3. You can use the same approach as in (2), or recall that
:


4. Recall that a difference of squares can be factored as
. So

