Z² -<span> 6z - 27 = 0
</span>z² + 3z - 9z - 27 = 0
z(z+3) - 9(z+3) = 0
(z+3)(z-9) = 0
z + 3 = 0 or z - 9 = 0
z = -3 z = 9
Answer: z=-3 and z=9
Bro- basically so the first option a- right? So a is 4-8-12-16. And B is just that times two so the third option down
Answer:
Option B.
Step-by-step explanation:
The given vertices of the polygon are (-6,-2),(-5,1),(-1,4),(1,1),(5,3),(1,-2).
We need to find the area of the polygon.
Plot the given vertices and on a coordinate plane and draw the polygon. Divide the polygon in 4 parts as shown below.
Area of rectangle is
![A=length\times width](https://tex.z-dn.net/?f=A%3Dlength%5Ctimes%20width)
Area of triangle is
![A=\dfrac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
Area of each figure is
![A_1=\dfrac{1}{2}\times 1\times 3=1.5](https://tex.z-dn.net/?f=A_1%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%201%5Ctimes%203%3D1.5)
![A_2=\dfrac{1}{2}\times 6\times 3=9](https://tex.z-dn.net/?f=A_2%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%206%5Ctimes%203%3D9)
![A_3=\dfrac{1}{2}\times 4\times 3=6](https://tex.z-dn.net/?f=A_3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%204%5Ctimes%203%3D6)
![A_4=6\times 3=18](https://tex.z-dn.net/?f=A_4%3D6%5Ctimes%203%3D18)
Area of polygon is
![A=A_1+A_2+A_3+A_4](https://tex.z-dn.net/?f=A%3DA_1%2BA_2%2BA_3%2BA_4)
![A=1.5+9+6+18=34.5](https://tex.z-dn.net/?f=A%3D1.5%2B9%2B6%2B18%3D34.5)
The area of polygon is 34.5 units².
Therefore, the correct option is B.
It would take Sam 2 weeks to save $56, and it would take Pam 4 weeks to save $56 (hope this helped)
Odpowiedź:
Prosimy sprawdzić wyjaśnienie
Wyjaśnienie krok po kroku:
Na numer: 20
a.) 10% więcej;
(1 + 10/100) * 20;
1,10 * 20 = 22
b.) 20% mniej
(1 - 20/100) * 20
0,8 * 20 = 16
c.) 50% mniej
(1 - 50/100) * 20
0,5 * 20 = 10
Dla numeru 60:
a.) 10% więcej;
(1 + 10/100) * 60;
1,10 * 60 = 66
b.) 20% mniej
(1 - 20/100) * 60
0,8 * 60 = 48
c.) 50% mniej
(1 - 50/100) * 60
0,5 * 60 = 30
Na numer 150;
a.) 10% więcej;
(1 + 10/100) * 150;
1,10 * 150 = 165
b.) 20% mniej
(1 - 20/100) * 150
0,8 * 150 = 120
c.) 50% mniej
(1 - 50/100) * 150
0,5 * 150 = 75
Dla numeru 300;
a.) 10% więcej;
(1 + 10/100) * 300;
1,10 * 300 = 33%
b.) 20% mniej
(1 - 20/100) * 300
0,8 * 300 = 240
c.) 50% mniej
(1 - 50/100) * 300
0,5 * 300 = 150