To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of 
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be 
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.
Our answer is 
.
Answer:
For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.
Step-by-step explanation:
9 7/8 written as a decimal is 9.88
Work: So, The first thing I did was 9 (Whole Number) times the Denominator. After the Multiplication, I had gotten 72. I added 72 by the numerator which is 79. Then, I divided 79 by the denominator, and I had gotten 9.875, and I rounded it up to 9.88
I hope this helps, and you get this question correct. :)
The middle section is n(n+1)
The top row is n+2
The bottom row is 2n+1
So the rule for the total number of tiles will be the sum of the above rules...
s(n)=n(n+1)+n+2+2n+1
s(n)=n^2+n+n+2+2n+1
s(n)=n^2+4n+3
