Answer:
3y² + 8y + 4
Step-by-step explanation:
To multiply binomials (multiplying two equations that each have two terms), use FOIL. This means from each of the binomials, multiply the first terms, inside terms, outside terms, then the last terms. This helps you keep track that you have multiplied every term you need to.
Use FOIL twice in this expression because you are multiplying the first two binomials (2y-3) (y+2), multiplying two more binomials (y+5) (y+2)
, then adding them together.
(2y-3) (y+2) + (y+5) (y+2) Expand using FOIL twice
= (2y² + 4y - 3y - 6) + (y² + 2y + 5y + 10) Remove the brackets
= 2y² + 4y - 3y - 6 + y² + 2y + 5y + 10 Rearrange with like terms
= 2y² + y² + 4y - 3y + 2y + 5y - 6 + 10 Collect like terms
= 3y² + 8y + 4 Expanded answer
Like terms are terms that have the same variables and exponents.
There are three types of like terms in this question:
No variables
y
y² You only see them after expanding with FOIL
Since they are alike, then can be combined with adding or subtracting.
Answer:
angle 1 = angle 2
Step-by-step explanation:
1 and 2 are corresponding angles meaning if they are equal but on opposite sides. If you now for example angle 1 = 20 , 2= is also 20. This is helpful to know if you want to solve for x on one of these angles
Answer:
16 packages of muffins
Step-by-step explanation:
1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.
48 * 2 = 96
So now we know that we must have 96 muffins in total
2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.
96/6 = 16
From this we know that you will need 16 packages
A = L * W
A = 4 1/2 * 2 5/6
A = 9/2 * 17/6
A = 153/12 or 12 3/4 ft <==