Answer:
c .Perfect square trinomials
d.Difference of perfect squares
Step-by-step explanation:
We have to find the special product formulas.
a.Perfect square monomials
It is of the form 
It is not a special product formulas.
b.Difference of terms
It is of the form

It is not a special product formulas.
c.Perfect square trinomials
It is of the form

It is a special product formulas.
d.Difference of perfect squares
It is of the form


Therefore, it is a special product formulas.
Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

Answer:
=
+ 
Step-by-step explanation:
To verify the identity:
sinx/1-cosx = cscx + cotx
we will follow the steps below;
We will take just the left-hand side and work it out to see if it is equal to the right-hand side
sinx/1-cosx
Multiply the numerator and denominator by 1 + cosx
That is;
= 
open the parenthesis on the right-hand side of the equation at the numerator and the denominator
sinx(1+cosx) = sinx + sinx cosx
(1-cosx)(1+cosx) = 1 - cos²x
Hence
= 
But 1- cos²x = sin²x
Hence we will replace 1- cos²x by sin²x
=
=
= 
=
+ 
=
+ 
=
+ 
=
+ 
Note that;
=
= 