Answer:
This system has one solution (x=2 and y=2), then the answer is A.
Step-by-step explanation:
The system of equations is:
(1)
(2)
Let's multiply the first equation by 2 and subtract it to the second equation


Using this value in (1) we can find y.


Therefore, this system has one solution (x=2 and y=2), the answer is A.
I hope it helps you!
Answer:
V = 4000 ft³
Step-by-step explanation:
if diameter is 20 then radius is half that, or 10
use formula:
V = 4/3(3)(10)³
V = 4(10)³
V = 4(1000)
V = 4000 ft³
Answer: the correct option is
(D) The imaginary part is zero.
Step-by-step explanation: Given that neither a nor b are equal to zero.
We are to select the correct statement that accurately describes the following product :

We will be using the following formula :

From product (i), we get
![P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.](https://tex.z-dn.net/?f=P%5C%5C%5C%5C%3D%28a%2Bbi%29%28a-bi%29%5C%5C%5C%5C%3Da%5E2-%28bi%29%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2i%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2%5Ctimes%20%28-1%29~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7Di%5E2%3D-1%5D%5C%5C%5C%5C%3Da%5E2%2Bb%5E2.)
So, there is no imaginary part in the given product.
Thus, the correct option is
(D) The imaginary part is zero.
Answer:
5
Step-by-step explanation:
Answer: 5/12
Step-by-step explanation: To divide one fraction by another, first turn the second fraction upside-down, then multiply.
1/3 ÷ 4/5 = 5/12 ≅ 0.4166667