<span>If 100C2 has a value of 4,950, what is the value of 100C98?
10C2 is the number of groups of 2 that can be formed from 100 objects.
Note: Each time a group of 2 is selected you automatically form
a second group of 98. Therefore: 10C2 = 10C98 = 4950 is your Answer</span>
This triangle has 60 degrees already. Remember that the sum of all triangles have to be 180.
Since we have two y's we can simplify it as 2y + 60 = 180.
We can now set this up as an algebraic equation.
2y + 60 = 180
Subtract 60 from both sides.
2y = 120
Divide both sides by 2
y = 60.
Y = 60, your answer is D.)
I hope this helps!
Answer:575 and 1 extra tile
Step-by-step explanation:if the total tiles is 5,176 which will be used in 9 floors .We will divide the total tiles by the floors .Therefore we will get 5176 /9 =575.111
Therefore each floor will have 575 tiles
To get the remaining tiles
575*9 = 5175 which gives us a remainder of 1 tile when you subtract the total 5176 -5175 =1
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
![\frac{x^3+x^2+x}{x^2+x+1}=x](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E3%2Bx%5E2%2Bx%7D%7Bx%5E2%2Bx%2B1%7D%3Dx%20)
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that ![x^3+x^2+x=x(x^2+x+1)](https://tex.z-dn.net/?f=%20x%5E3%2Bx%5E2%2Bx%3Dx%28x%5E2%2Bx%2B1%29%20)
If we replace the factored numerator with the original one, we get:
![\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%28x%5E2%2Bx%2B1%29%7D%7Bx%5E2%2Bx%2B1%7D%3Dx%20%5Cimplies%20%5C%5C%20x%3Dx%20)
Since we have an equality, this relation is proved.
Answer:
125x^3
Step-by-step explanation:
So you can write it like (5x)^3
Then, when there are parenthesis,you multiply the exponent for each number inside by the exponent on the outside. So, that would make it: 5^3x^3. Since 5^3 is 125, you can write it like, 125x^3.
Hope this was helpful!