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3 years ago

Prove (x+y)^2=x^2+2xy+y^2

2 answers:

8 0

First, you want to expand the equation so it'll be: x^2+2yx+y^2=x*2+2xy+y^2

Then you subtract y^2 from both sides: x^2+2yx+y^2-y^2=x*2+2xy+y^2-y^2

After that, you simplify: x^2+2yx=x*2+2xy

And subtract x^2+2xy from both sides: x^2+2yx-(x*2+2xy) =x*2+2xy-(x*2+2xy)

Finally, you simplify to get your final answer which is <em>x=2, x=0</em>

Scrat [10]3 years ago

3 0

Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²

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Emilio has 5 bags of birdseed .Each bag has about 28 ounces of birdseed . If he divides the birdseed equally into 3 containers ,

MrMuchimi

Answer:

total ounces of birdseed = 5*28=140

number of birdseed of a container = 140/3 = 46.6666 ounces =140/3 ounces

he will put 140/3 ounces in each container

8 0

3 years ago

What is the solution set for the inequality x < -2 or x > 6

bija089 [108]

he solution set is

{ x ∣ x > 1 } .

Explanation

For each of these inequalities, there will be a set of

-values that make them true. For example, it's pretty clear that large values of

(like 1,000) work for both, and negative values (like -1,000) will not work for either.

Since we're asked to solve a "this OR that" pair of inequalities, what we'd like to know are all the

-values that will work for at least one of them. To do this, we solve both inequalities for

, and then overlap the two solution set

8 0

3 years ago

How do you simplify expressions with rational exponents

Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a) $(p^4)^{\dfrac{3}{2}}$

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

$(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}$

$(p^{^ {\dfrac{12}{2}}})$

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

$(p^{^ {\dfrac{12}{2}}})$

$= (p^{ 6})$

Let's take a look at another example

$\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}$

Here, we apply the $\dfrac{5}{3}$ to both 27 and $x^6$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)$

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

$= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)$

$= \Bigg (3^{5} \times x^{10} }\Bigg)$

$= 249x^{10}$

8 0

3 years ago

Which statement about the graph is true?

Elza [17]

Answer:

O The number of ounces is graphed on the y-axis, and the number of quarts is graphed on the x-axis.

Step-by-step explanation:

This was a multiple choice question right?

I believe O The number of ounces is graphed on the y-axis, and the number of quarts is graphed on the x-axis. is the answer.

6 0

3 years ago

Graph the equation on the coordinate plane.y=2x-1

Yakvenalex [24]

This equation is written in slope intercept form

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case:

slope (m) is 2

y-intercept (b) is (0, - 1)

To plot this on a coordinate plane plot the y-intercept (0, -1).

To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)

Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)

Now draw a straight line through the y-intercept and the other two points you just found

The image of the graph is shown below

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0

3 years ago