Answer:


Step-by-step explanation:
we have

Adds 18 both sides

Complete the square


Divide by 9 both sides

Rewrite as perfect squares

Given
.OABC is a tetrahedron
OA=a, OB=b, and OC=c.
point P and Q are such that OA =AP and 2OB = BQ
point M is a midpoint of PQ.
Find AB ,PQ, CQ ,QM ,MB ,OM in terms of a, b, and c.
To proof
we proof this by using the Triangle law of vector addition
when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.
by using the diagram as shown below






hence proved
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(7,2) and (-1, -3)
The distance between them is

We have the final answer as

Hope this helps you
Answer:
| 10 -10 1 |
| 1 -2 -4 |
| -8 13 -24|
Step-by-step explanation:
First multiply each element in matrix A, this gives:
| -6 - 2 -3 |
| 1 -6 -4 |
| -4 5 0 |
Now we multiply each element in matrix B by 4, this gives:
| -16 8 -4 |
| 0 -4 0 |
| 4 -8 24 |
Finally subtract this from the first matrix ( subtracting element by element) gives:
| 10 -10 1 |
| 1 -2 -4|
| -8 13- 24|