Answer:
The solution is similar to the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)·x + (y1) -(x1)(y2 -y1)/(x2 -x1)
Step-by-step explanation:
Using the two points, write two equations in the unknowns of the equation of the line.
For example, you can use the equation ...
y = mx + b
Then for the points (x1, y1) and (x2, y2) you have two equations in m and b:
b + (x1)m = (y1)
b + (x2)m = (y2)
The corresponding augmented matrix for this system is ...
![\left[\begin{array}{cc|c}1&x1&y1\\1&x2&y2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Cc%7D1%26x1%26y1%5C%5C1%26x2%26y2%5Cend%7Barray%7D%5Cright%5D)
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The "b" variable can be eliminated by subtracting the first equation from the second. This puts a 0 in row 2 column 1 of the matrix, per <em>Gaussian Elimination</em>.
0 + (x2 -x1)m = (y2 -y1)
Dividing by the value in row 2 column 2 gives you the value of m:
m = (y2 -y1)/(x2 -x1)
This value can be substituted into either equation to find the value of b.
b = (y1) -(x1)(y2 -y1)/(x2 -x1) . . . . . substituting for m in the first equation
Answer: 1/4
Step-by-step explanation:
2/5 is 0.4 and 1/5 is 0.2 so we add them which gave us...
0.4+0.2=0.6
10 - 0.6 = 4 left over now we change 4 as a fraction which 1/4
Answer:
We have been given the matrix m as m = [874][205].
We can rewrite this matrix as
\begin{gathered}m=\begin{pmatrix}8 &7&4\\2&0&5 \\\end{pmatrix}\\\end{gathered}m=(827045)
Now, we need to the find m_{12}m12
It means we need to find the entity that is present in the first row and the second column.
From the above matrix, we can see that 7 is in the first row and the second column.
Therefore, we have
m_{12}= 7m12=7
Ratios are like fractions in the way that you can simplify them if they have common factors.
we can simplify this ratio to
1:3
that means that the bigger part got 3 times the amount of the smaller part. The problem says that Evan got the smaller amount, so if we multiply the smaller amount by 3 we should and will get the bigger amount. It says that $420 is the smaller part.
420*3=1260
so the bigger amount of money is $1260
So, because Ricky got the bigger part of Mr. George's money, he must have received
$1260<span />
Answer:
What square ?
Step-by-step explanation:
