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3 years ago

Why is (x^2+2xy+y^2) greater than 2(x+y) when x and y are over zero and X>Y

Mathematics

1 answer:

VikaD [51]3 years ago

6 0

Answer:

Step-by-step explanation:

This is true because if we were to plug in values for x and y the first equation will have a greater value.

Lets try 2 for x and y......

2^2+2(2)(2)+2^2

4+8+4

=16

and for the other expression

2(2+2)

4+4

And 16 is greater then 8 this is true for all real rational numbers

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A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel

Sliva [168]

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

4 0

2 years ago

A square has a diagonal length 18 in. What is the side length of the square?

Elenna [48]

Answer:

9 $\sqrt{2}$ inches

12.728 inches

Step-by-step explanation:

Use Phytagorean Theorem

$a^{2} +b^{2} =c^{2}$

Since both all sides of a square are equal, this means that $a^{2}$ and $b^{2}$ are equal.

So that leaves us with:

$a^{2} +a^{2} = 18^{2}$

Simplify

$2a^{2} = 324$

Divide both sides by 2

$\frac{2a^{2} }{2} =\frac{324}{2}$

Simplify

$a^{2} = 162$

Find the square root of both sides

$\sqrt{a^{2} } =\sqrt{162}$

a = 9 $\sqrt{2}$

(or if you want the decimal, rounded to the 3rd decimal place: 12.728)

4 0

2 years ago

Is 8 a integer, Natural, Real, Whole. Irrational, Rational, Terminating, Non<br> terminating number

Ludmilka [50]

Answer:

8 is an integer, natural, real, whole, rational, and terminating number. However, 8 is not a non- terminating number.

3 0

3 years ago

Which is one reason why this expression is equal to 0?

Shtirlitz [24]

If there is no expression, it surely is equal to 0.

5 0

4 years ago

Read 2 more answers

If you have a rectangle with the width of 6 in and a length of 10 in. And you want to create a scaled copy using a scale factor

snow_tiger [21]

Answer:

The new side lengths will be 24 inches and 40 inches

Step-by-step explanation:

Here, given the width and length of a rectangle and we want to create a scaled copy using a scale factor of 4, we want to know the new side lengths

What we simply want to do here is to scale up or dilate the side lengths of the rectangle using a scale factor of 4

Hence, the new side lengths will be (4 * 6) inches and (10 * 4) inches

The new side lengths will be 24 inches and 40 inches

7 0

3 years ago