Remember
i²=-1 so
i³=-i
i⁴=1
so
5i⁴+2i³+8i²-4
5(1)+2(-i)+8(-1)-4
5-2i-8-4
-7-2i is the form
The volume of a rectangular prism is always LWH=V, the cube is a special prism in that L=W=H are all equal so:
V=s^3 where s is the length of all sides...
s^3=1728
s=1728^(1/3)
s=12 units
Answer:
B. 2x-y = 8
Step-by-step explanation:
First, plug in the points (5,2) into the equation. 5 being x and 2 being y.
Then 2x-y = 8
2 (5) - (2) = 8
10 - 2 = 8
8 = 8
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
![5\, \sqrt[3]{x-1} = 20](https://tex.z-dn.net/?f=5%5C%2C%20%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%2020)
Then, we divide both sides by 5 to isolate the root:
![\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%20%5Cfrac%7B20%7D%7B5%7D%20%5C%5C%5Csqrt%5B3%5D%7Bx-1%7D%20%3D4)
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

now we add 1 to both sides to isolate x:
x = 65
Answer:
A' = (6, 15)
Step-by-step explanation:
We consider the center point of dilation to be the origin (0,0)
so point A(-2, -5) to A' by scale factor N = -3 means
A' = (-2*(-3), -5*(-3)) = (6, 15)