Answer:

Step-by-step explanation:

Multiply and divide by the conjugate.
The conjugate is the denominator with the sign of the complex number the opposite of the denominator.

Quotient = 
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.
Answer:
I believe C, or the answer you have chosen, is correct.
Step-by-step explanation:
In this question, we add like, AKA similar, terms.
There is nothing to match x^2, so we leave it alone and put it at the head of equation since it has the highest power:
x^2
There is nothing to match -x, so we also leave it alone and put it next to x^2, keeping its sign:
x^2 - x
We can add 1 and 5 to get 6, so we put 6 next to the -x to get our final equation:
x^2 - x + 6.
See how easy that was? :) Hope this helps you and you get a good grade on your test!!
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Have an awesome rest of your day! :)
Answer:

Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that

satisfy this differential equation.
We differentiate to get:

We substitute the function and its derivative into the differential equation to get:

We expand and simplify on the left:

This simplifies to:

Verified.
We can show that all the other functions do not satisfy this differential equation
Answer:
468
Step-by-step explanation:
Set it up like the following-
18
26
--------
108
360
--------
408
Take the right number (6) and multiply it with 18
6 x 18 = 108
Now do the same with 2, except put a 0 at the end
2 x 18 = 36
add 0
360
Add both numbers-
360 + 108 = 468