All categories

3 years ago

How do you solve this?!

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

x² + 4xy + 4y²

Step-by-step explanation:

(x + 2y)² = (x + 2y)(x + 2y)

Each term in the second factor is multiplied by each term in the first factor

(x + 2y)(x + 2y)

= x(x + 2y) + 2y(x + 2y) ← distribute both parenthesis

= x² + 2xy + 2xy + 4y² ← collect like terms

= x² + 4xy + 4y²

You might be interested in

Use the construction in proof of the Chinese reminder theorem to find all solutions to the system of congruence:

antoniya [11.8K]

Answer:

17,101,185, 269,.... is the solution.

i.e. x≡17 mod(84) is the solution

Step-by-step explanation:

Given that the system is

$x ≡ 2 ( mod 3 )x ≡ 1 ( mod 4 )x ≡ 3 ( mod 7 )$

Considering from the last as 7 is big,

possible solutions would be 10,17,24,...

Since this should also be 1(mod4) we get this as 1,5,9,...17, ...

Together possible solutions would be 17, 45,73,121,....

Now consider I equation and then possible solutions are

5,8,11,14,17,20,23,26,29,...,47,....75, ....

Hence solution is 17.

Next number satisfying this would be 101, 185, ...

3 0

2 years ago

A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan

Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

$\dfrac{25}{100}\times x\\\\=0.25x$

Amount after marked down becomes

$x-0.25x\\\\=0.75x$

Additional clearance items by 40% off

Amount of additional off is given by

$\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x$

After additional off, the amount becomes,

$0.75x-0.3x\\\\=0.45x$

Hence, he would pay 45% of the original price.

5 0

2 years ago

1/2 (y-3)= 1/2 + (x-3)<br><br> Rapidoo

netineya [11]

Because there are two variables in this equation, you cannot solve for answers. However, I'll assume that you want to get this into slope intercept form as that is the most common way to graph these. The answer in that case is y = 2x - 2

<span>1/2 (y-3)= 1/2 + (x-3) ---> Start by multiplying both sides by 2
(y - 3) = 1 + 2x - 6 ---> now add 3 to each side
y = 3 + 1 + 2x - 6 ----> now simplify like terms.
y = 2x - 2 </span>

7 0

2 years ago

Brian ordered a 12-inch pizza for him and some friends. They ate half of the pizza before they started

Arisa [49]

Answer:

Step-by-step explanation:

5 0

2 years ago

Daniel works for 3 hours one day he gets paid $6 an hour. Build a visual that represents the word problem

Doss [256]

Answer:

He earned $18

Step-by-step explanation:

So what you would do is draw a calendar and put Monday, Tuesday, Wednesday, Thursday, Friday, Saturday put any random year , month ,day . You can choose any three days you want to do. After you do that put $6 for each of the three days and above put 1 hour after that you're going to multiply 6 x 3 which is $18.

5 0

2 years ago