Answer:
Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector 
is a linear combination of 
and 
if there are two scalars 
such as
In our case, all the vectors are given in 
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have
We set the equation
Multiplying both scalars by the vectors
Equating each coordinate, we get
Adding the first and the third equations:
Replacing in the first equation
We must test if those values make the second equation become an identity
The second equation complies with the values of 
and 
, so the solution is
Answer: 30 degrees
Step-by-step explanation:
Corresponding angles of similar triangles are congruent.
Answer:
A: -6.5
Step-by-step explanation:
Take two points that we already know are on the line and find the slope
I used:
(4, -10) and (7, -30)
X1 (first x coordinate): 4
Y1 (first y coordinate): -10
X2 (second x coordinate): 7
Y2 (second y coordinate): 30
These appear to be exactly on the graph at a certain point along the line. We can't choose a coordinate pair that isn't on the line at an exact point.
Use (Y2-Y1)/(X2-X1)
(-30-(-10))/(7-4) = (-30 + 10)/3 = -20/3 = approximately -6.67.
The closest answer to that is A.
Answer:
I think the answer is $22.00
Answer:
PS=5.4
Step-by-step explanation:
The centroid divides each median in the ratio 2:1
If U is the centroid, then
We use ratio to obtain;
Cross multiply;
Expand;
Group similar terms;
x=1
PS=PU+US
PS=3.6+1+0.8
PS=3.6+1+0.8
PS=5.4
