Answer:
(y+5)²
Step-by-step explanation:
Every perfect square trinomial, completes the rule:
(a+b)²=(a²+2ab+b²)
Let's complete the PST:
(a) would be the square root of y², which is y.
(b) would be a number that multiplied by 2y gives us 10y, which is 5.
Our perfect square trinomial is y²+10y+25
Finally, using the mentioned rule, the binomial square for that equation is (y+5)²
They did not state exactly what the width or length is. So in this case, let's name the number of width to be x. And thus we can derive to the conclusion of,
Width : x
Length : x-44 (from the 1st sentence of question)
So, We all know that a rectangle has 2 Lengths and 2 widths. So we can derive the conclusion that,
2(x)+2(x-44)=150150
2x+2x-88=150150
4x-88= 150150
4x= 150150+88=150238
4x=150238
x= 150238÷4
=37559.5
9/12 is the answer to your question
Answer:
1980 total outcomes are possible.
Step-by-step explanation:
The order in which the candidates are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many total outcomes are possible?
2 men, from a set of 11.
2 women, from a set of 9.
So
1980 total outcomes are possible.
First you need to combine like terms
13x+8-15x=6+x+11
-2x+8=x+17
-x -8 -x -8
-3x=9
--- ----
-3 -3
x=-3
I hope I've helped!
