Answer:
<h2><em>
5i+14j-7k</em></h2>
Step-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
<em>3u - v = 5i+14j-7k</em>
<em>Hence the simplified form of the expression is 5i+14j-7k</em>
The team lost n games.
The team won 8 more games than it lost, so it won n + 8.
The total number of games the team played was n + n + 8, or 2n + 8.
The team played a total of 24 games, so
2n + 8 = 24
We now solve for n.
2n + 8 = 24
2n = 16
n = 8 (lost games)
n + 8 = 8 + 8 = 16 (won games)
Answer: The team won 16 games and lost 8 games.
0x + y = 1 is the standard form of (3, 1) with m = 0
<u>Solution:</u>
We have been given a point and slope of an equation and have been asked to write it in the standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
The given point is (3,1) and the slope is 0
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
The point slope form of line is given as:
Where "m" is the slope of the line
Here in this problem, 
y - 1 = 0(x - 3)
y - 1 = 0
y = 1
since the above equation doesn’t have an ‘x’ term we convert into a standard form as follows:
0x + y = 1
This is the standard form for the given point and slope of a line.
Answer:
9.25
Step-by-step explanation:
It's pretty simple all you have to do is 83.25 divided by 9.
