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3 years ago

The binomial expansion of (x + y)2 is

Mathematics

2 answers:

JulsSmile [24]3 years ago

6 0

Step-by-step explanation:

${x}^{2} + 2xy + {y}^{2}$

yawa3891 [41]3 years ago

6 0

$(x + y) ^{2} = {x}^{2} + 2xy + {y}^{2}$

Answer: A

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A ball is thrown into the air from an apartment balcony and falls to the ground. The height of the ball, h metres, t seconds aft

andriy [413]

Answer:

$1+2\sqrt{2}$ seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

$0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0$

Plugging this into the quadratic equation, you get:

$t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}$

Since the time must be positive, it takes the ball $1+2\sqrt{2}$ seconds to hit the ground, or around 3.828. Hope this helps!

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3 years ago

I will use fancy gold and red wrapping paper for two packages i have to wrap. I will use 1 2/4 yard of paper for one of the boxe

Allisa [31]

Well you need first 1 2/4 of a yard. Then you will need 5/6 of a yard. But first you need to put them together. So we need to find the common denominator. Six and four both share which multiple? Twelve. So let's rewrite that. You need 1 6/12 yards + 10/12 yards of wrapping paper. But before we do anything else we need to fix the mixed number. 1 6/12 isn't as easy to add ad 18/12 is. So 18/12 + 10/12 = 28/12
That can simplify as well. Now it's 14/6 which is equivalent to the fraction we had before. But it can also go down to 2 2/6. Now we can simplify it even further. By dividing it by two we can get 2 1/3. These are the measurements we need. So you would need how many thirds? Seven. (2 1/3 is seven thirds) This is your final answer.

You would need to have seven peices of wrapping paper cut to wrap both gift boxes.

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3 years ago

Quentin pays $178 every 4 months for his guitar lessons. At this rate , how much will Quentin pay for 3 years of guitar lessons

vivado [14]

$1602 would be the amount paid for 3 years of lessons.

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3 years ago

Read 2 more answers

What is the domain and range of the relation shown in the table?

TEA [102]

Answer:

domain: {10,15,19,32}

range:{5,9,-1}

Step-by-step explanation:

As we know domain is the values of input and range is the values of output.

Here , x is the input and y is the output.

$\left[\begin{array}{cc}x&y\\10&5\\15&9\\19&-1\\32&5\end{array}\right]$

Thus the input values according to the given problem is : 10 ,15 , 19, and thus ,

⇒The domain would accordingly be these four numbers : 10 , 15 , 19 , 32.

Note that we donot have any information regarding the other values of x.

The range is : { 5,9,-1 } only as the 5 is repeated in two cases .

Range is unique and there must be not repetition. Thus the apt answer would be :

domain: {10,15,19,32}

range:{5,9,-1}

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3 years ago

Solve for x by completing the square: x2 - 12x + 11 = 0

sineoko [7]

Answer:

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± $\sqrt{25}$ = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

6 0

2 years ago