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Tasya [4]
3 years ago
15

Expand the binomial

rac{2}{5})^{2}" alt="(x-\frac{2}{5})^{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

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What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
3 years ago
You are preparing a chemical hazard label for a new product. you know that the product is flammable. what pictogram should be on
lilavasa [31]

A graphic logo that depicts the meaning of any warning or sign through pictorial illustrations is called a pictogram. It can be used in chemicals, laboratories, geography or tourism. The label should have: Flammable and Health Hazard!

<h3>What is a pictogram?</h3>

The pictogram can be explained as: According to the above description, the label sign should have a warning sign of flammable as it can catch and cause fire, a health hazard as it can cause corrosion, carcinogenic and irritation followed by an exclamation mark.

The flammable sign depicts that the substance can cause and catch fires also it can contain pyrophoric. It is cancer-causing, respiratory irritant and toxic hence is hazardous to health.

The exclamation mark is used at the end of the sentence for showing awareness and to convey the meaning of the sign.

Therefore, Flammable and Health Hazard! the sign should be used.

To learn more about pictograms follow the link:

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5 0
2 years ago
Covert 6.75 yarrds into inches
kotykmax [81]
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7 0
3 years ago
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( LETS SEE IF YOUR SMART )
ratelena [41]

Answer:

6\leq x\leq 12

Step-by-step explanation:

First we have to write down what it says in the question in as an expression. So we know that there is already 3 people on Britany's team (herself and the two friends),  that in order to participate in the league you will need at least 9 players, and that the team can have a maximum of 15 player. So....

Let "x" be the number of people who decided to join Britany and her friends

Let "y" be the total number of people on Britanie's team, then .....

3 + x = y

Now we need to remember that in order to participate in the league you will need at least 9 players, and that the team can have a maximum of 15 player. We can write that down as......

9\leq y\leq 15

Now from this we know that the minimum value that x would need to take in order for Brittany's team to participate can be found by solving 3 + x = 9. The maximum value that x would need to take in order for Brittany's team to participate can be found by solving 3 + x = 15. And so we get.....

Minimum value:

3 + x = 9

x = 9 -3

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Maximum value:

3 + x = 15

x = 15 - 3

x = 12

Now we know that x will be equal to any integer between 6 and 12 so

6\leq x\leq 12

4 0
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Nevan's gross pay was $45,150 last year. The federal income tax withholding from his pay was 16% of his gross
mrs_skeptik [129]

Answer: Nevan will receive a refund of $1,074.

Step-by-step explanation:

I don't remember how I did it but I looked it up on Quizlet.

5 0
3 years ago
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