Answer:
121, 144, 169, 196 are the perfect squares from 100 to 200
Answer:
D
Step-by-step explanation:
Firstly, since it is a selection question, we shall be using a combination approach.
So here we are trying to select the best answer that describes that 2 out of 10 students are selected.
Let’s consider the scenario below;
selecting r out of n can be resolved using the combination nCr
= n!/(n-r)!r!
Now in this case, our n = 10 and r = 2.
Thus, 10C2, we have ;
10!/(10-2)!2! = 10!/8!2! = (10 * 9 * 8!)/8!2! = (10 *9)/2! = 90/2 = 45
Thus, 10C2 = 45
Here, the order of selection does not matter as we can select in random fashion. This makes option D correct
Answer: Choice D) ![x = a\left(1-\frac{y}{b}\right)](https://tex.z-dn.net/?f=x%20%3D%20a%5Cleft%281-%5Cfrac%7By%7D%7Bb%7D%5Cright%29)
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Work Shown:
![\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Ba%7D%2B%5Cfrac%7By%7D%7Bb%7D%20%3D%201%5C%5C%5C%5C%5Cfrac%7Bx%7D%7Ba%7D%20%3D%201-%5Cfrac%7By%7D%7Bb%7D%5C%5C%5C%5Cx%20%3D%20a%5Cleft%281-%5Cfrac%7By%7D%7Bb%7D%5Cright%29%5C%5C%5C%5C)
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
Answer:
The answer is D
Step-by-step explanation:
Coplanar means that they are on the same closed area(or plane)- P, M, C, N are all on the same Plane.