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2 years ago

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

Mathematics

2 answers:

Maslowich2 years ago

7 0

Answer:

4x² + 4y² + 8xy

Step-by-step explanation:

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

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = 2y

( 2x + 2y )²

= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )

= 2²x² + 2²y² + 8xy

= 4x² + 4y² + 8xy

FinnZ [79.3K]2 years ago

3 0

The answer is 4x^2 + 8xy + 4y^2

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the radius of the aluminum atom is 143pm. the radius of the aluminum atom is 54pm. by what percentage did the radius change as t

Dennis_Churaev [7]

Answer:

There was 62.23% change in radius as the ion formed.

Step-by-step explanation:

Given

Radius of Aluminium $(Al)$ atom = 143 pm

Radius of Aluminium $(Al^{3+})$ atom = 54 pm

Change is the radius = Radius of Aluminium $(Al)$ atom - Radius of Aluminium $(Al^{3+})$ atom = 143 -54 = 89

Now to find % Change is the radius we will divide Change is the radius by Radius of Aluminium $(Al)$ atom and multiply by 100 we get

% Change is the radius = $\frac{\textrm{Change is the radius}}{\textrm{Radius of Aluminium (Al) atom}} \times 100 = \frac{89}{143}\times100= 62.23\%$

Hence there was 62.23% change in radius as the ion formed.

4 0

4 years ago

Fill in the missing number to complete the factorization<br> x3 + x2 - 21x - 45 = (x + 3)(x - 5)(x +

Olin [163]

Answer:

Step-by-step explanation:

Let the missing number be $k$ .

Then we have $x^3+x^2-21x-45=(x+3)(x-5)(x+k)$

We expand the right hand side to get:

$x^3+x^2-21x-45=x^3+kx^2-2x^2-2kx-15x-15k$

By comparing constant terms we get:

$-15k=-45$

Divide both sides by -15

$k=\frac{-45}{-15}=3$

Therefore the missing number is 3

4 0

3 years ago

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

4 years ago

3e-4=6e(45+2e) what's e

Lyrx [107]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*e-4-(6*e*(45+2*e))=0

Step by step solution :

STEP

Equation at the end of step 1

(3e - 4) - 6e • (2e + 45) = 0

STEP

Pulling out like terms

3.1 Pull out like factors :

-12e2 - 267e - 4 = -1 • (12e2 + 267e + 4)

Trying to factor by splitting the middle term

3.2 Factoring 12e2 + 267e + 4

The first term is, 12e2 its coefficient is 12 .

The middle term is, +267e its coefficient is 267 .

The last term, "the constant", is +4

Step-1 : Multiply the coefficient of the first term by the constant 12 • 4 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is 267 .

Step-by-step explanation:

3 0

3 years ago

If y is directly proportional to x and given y = 9 when x = 5, find y when x = 15

gavmur [86]

Answer:

Step-by-step explanation:

y=kx

9=k*5, so k=9/5

when x=15

y=(9/5)*15=27

8 0

3 years ago