Answer:
1. y = 1/3x - 1
2. y = 2/5x
3. y = x + 8
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + c
where m is the slope and c is the y-intercept
So, we have the following based on the supplied values;
1. y = 1/3x - 1
2. y = 2/5x
3. y = x + 8
Answer:
It is proved that is a solution of Ax=b.
Step-by-step explanation:
As given let w and p be a solution of Ax=b. Then,
and
Defining,
To show is a solution of Ax=b, we have to show . Then,
(By putting value of )
(By distributive law)
(Since w and p are solution of Ax=b)
Hence become a solution of the homogenous system Ax=b.
Since w and p are solution of Ax=b, and any linear combination of the solutions again a solution of Ax=b, this shows that every solution of Ax=b is of the form where is a solution of Ax=0.
This should be your answer i hope this helps
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51