Answer:
x= 12.5
So
2x = 25
4x = 50
6x = 75
Step-by-step explanation:
line CG is 180 degrees, so 12x + 30 = 180
x = 12.5
If x = -4
f(x) = (-4)^2 = 16
if x = 4
f(x) = √4 = 2
hope it helps
There are several ways to solve a system of equation; one of these ways is the use of matrix.
<em>Jerry made a mistake at step 2</em>
From the attachment, the step 1 is represented as:
![\mathbf{\frac 12R_1 \left[\begin{array}{cccc}1&1&1&0\\5&3&-2&-4\\3&2&1&1\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%2012R_1%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%260%5C%5C5%263%26-2%26-4%5C%5C3%262%261%261%5Cend%7Barray%7D%5Cright%5D%20%7D)
The equation in step 2 is given as:

This means that:
We subtract the elements of row 2 from the elements of row 1, multiplied by 5
So, we have:
![\mathbf{R_2 = 5\left[\begin{array}{cccc}1&1&1&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7BR_2%20%3D%205%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%260%5Cend%7Barray%7D%5Cright%5D%20%7D%20-%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%263%26-2%26-4%5Cend%7Barray%7D%5Cright%5D%20%7D)
Expand
![\mathbf{R_2 = \left[\begin{array}{cccc}5&5&5&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7BR_2%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%265%265%260%5Cend%7Barray%7D%5Cright%5D%20%7D%20-%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%263%26-2%26-4%5Cend%7Barray%7D%5Cright%5D%20%7D)
Subtract corresponding cells
![\mathbf{R_2 = \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7BR_2%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%262%267%264%5Cend%7Barray%7D%5Cright%5D%20%7D)
So, the new row 2 elements should be:
![\mathbf{ \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%262%267%264%5Cend%7Barray%7D%5Cright%5D%20%7D)
However, the row 2 elements of Jerry's steps are:
![\mathbf{R_2 = \left[\begin{array}{cccc}0&-2&-7&-4\end{array}\right] }](https://tex.z-dn.net/?f=%5Cmathbf%7BR_2%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%26-2%26-7%26-4%5Cend%7Barray%7D%5Cright%5D%20%7D)
This means that:
Jerry made a mistake; and the mistake is at step 2
Read more about matrix at:
brainly.com/question/21848291
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)