Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z

Solve the system of equations by graphing. x+y=-9 4x+y=-19

shutvik [7]

For this case we have the following system of equations:

$x + y = -9\\4x + y = -19$

We multiply the first equation by -4:

$-4x-4y = 36$

We have the following equivalent system of equations:

$-4x-4y = 36\\4x + y = -19$

We add the equations:

$-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}$

We find the value of the variable "x":

$x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}$

Thus, the solution of the system is:

$(x, y): (- \frac {10} {3}, - \frac {17} {3})$

See the graphic in the attached image

ANswer:

$(x, y): (- \frac {10} {3}, - \frac {17} {3})$

See the graphic in the attached image

4 0

4 years ago

Find the product. Write your answer in exponential form. 4 8 • 4 -5

Ymorist [56]

Answer: im sorry i need the points

Step-by-step explanation: ......

3 0

3 years ago

And the reward for the most beautiful king/queen on this website goes to........................................................

Lemur [1.5K]

Answer:

omg Thank u so much ur so nice

8 0

3 years ago

Read 2 more answers

Can someone please help me with this question, I have multiple of them and have no idea where to start. If you can help me with

Alika [10]

Answer:

x = 5

Explanation:

Well, there's a theorem about these triangles that helps you solve questions similar to this one.

The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.

That is, 33° + (10x+1)° = (17x-1)°

17x - 10x = 33 + 1 + 1

7x = 35 => x = 5

Hope it helps you, mate! :)

6 0

2 years ago

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the

Troyanec [42]

Answer:

The coordinates of the vertices of the reflected figure are :

R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6) ⇒ the right answer is (d)

Step-by-step explanation:

* When you reflect a point across the line y = x, the x-coordinate

and y-coordinate change their places.

- If the point is (x , y) then its image is (y , x)

* If you reflect over the line y = -x, the x-coordinate and y-coordinate

change their places and their signs

- If the point is (x , y) then its image is (-y , -x)

* Lets study the matrix of the reflection about the line y = x

- The matrix of the reflection about the line y = x is

$\left[\begin{array}{cc}0&1\\1&0\end{array}\right]$

- Because the x-coordinate and y-coordinate change places.

* Now lets solve the problem

- We will multiply the matrix of the reflection about y = x

by each point to find the image of each point

- The dimension of the matrix of the reflection about y = x

is 2×2 and the dimension of the matrix of each point is 2×1,

then the dimension of the matrix of each image is 2×1

∵ The point R is (-2 , 5)

∴ $R'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{cc}-2\\5\end{array}\right]=$

$\left[\begin{array}{c}(0)(-2)+(1)(5)\\(1)(-2)+(0)(5)\end{array}\right]=\left[\begin{array}{c}5\\-2\end{array}\right]$

∴ R' is (5 , -2)

∵ The point S is (5 , 3)

∴ $S'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}5\\3\end{array}\right]=$

$\left[\begin{array}{c}(0)(5)+(1)(3)\\(1)(5)+(0)(3)\end{array}\right]=\left[\begin{array}{c}3\\5\end{array}\right]$

∴ S' is (3 , 5)

∵ The point T is (6 , -7)

∴ $T'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}6\\-7\end{array}\right]=$

$\left[\begin{array}{c}(0)(6)+(1)(-7)\\(1)(6)+(0)(-7)\end{array}\right]=\left[\begin{array}{c}-7\\6\end{array}\right]$

∴ T' is (-7 , 6)

* Lets look to the figures to find the right answer

∵ The R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6)

∴ The right answer is (d)

4 0

3 years ago

Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)