Determine if \sqrt{36} 36 is rational or irrational and give a reason for your answer.

Answer:

[tex]to \: know \: the \: answer[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Trigonometric identities are used to prove or disprove trigonometric ratios

The trigonometry identity is given as:

[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]

Simplify the trigonometry identity, as follows:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

This is so because:

[tex]\cos(\pi + x) = -\cos(x)[/tex]

[tex]\cos(-x) = \cos(x)[/tex]

[tex]\sin(\pi -x) = \sin(x)[/tex]

[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]

So, we have:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

Evaluate the products

[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]

Cancel out the common factors

[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]

Rewrite the trigonometry identity, as follows:

[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]

In trigonometry,

[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]

So, we have:

[tex](\cot(x))^2 = \cot^2x[/tex]

Remove the bracket

[tex]\cot^2x = \cot^2x[/tex]

The above equation is true.

Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved

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Answer:

x= 0

y= 2

explanation in the picture attached (tap the image to view it fully)

Step-by-step explanation:

......3(x+5)/5......

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]

Get the composite function g(h(x))

[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

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Answer:

(5,34)

Step-by-step explanation:

Answer:

36 points

Step-by-step explanation:

3x14 = 42

1x6 = 6

42-6 = 36

Hope that helps

Answer:

54 hope this helps

Answer:

1. y=7

2. y=17

3. y=21

4. y=24

Step-by-step explanation:

I hope you're able to complete the problem, have a great day/night! <3

Answer:

Step-by-step explanation:

ok ill help but can soke one help me too

Answer:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

Step-by-step explanation:

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

Answer:

what?

Step-by-step explanation:

Answer:

tn=a+(n-1)d

Step-by-step explanation:

t1=19

t2=24

t3=29

now,

d=t2-t1=24-19=5

=t3-t2=29-24=5

then,

tn=a+(n-1)d

=19+(n-1)5

=5n+14

Answer:

$2,202

Step-by-step explanation:

If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.

80% can be written as .80.

Multiply the value of the car by .80 6 times.

8400 multiplied by .80 = 6720

6720 multiplied by .80 = 5376

repeat this sequence 4 more times to come to an answer of 2,202

Answer:

x =  3,0 y = 0, -4

Step-by-step explanation:

Answer:

x - intercept (0, 3)

y - intercept (-4, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

38%

Step-by-step explanation:

20%-30%, 100%-30%, 20%-6%

80%-40%, 100%-40%, 5%-2%, 80%-32%

32+6=38%

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

Step-by-step explanation:

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].

Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.

The vertex form of a downward-opening parabola is given by:

y=a(x-4)²+k

Where (h, k) is the vertex of the parabola.

The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.

So, we have:

Vertex: (h, k) = (2, 4)

Stretched factor:

a=-3

Now plug these values into the vertex form equation:

y=-3(x-2)²+4

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Answer:

30:12

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

Answer:

8 to 22

Step-by-step explanation:

if there are 22 people that have a pet whens there is 30 students in total, you have to do, 30-22, and 30-22=8 meaning there are 8 students who don't have pets.

And if already says 22 students have pets, therefore the answer is

8 to 22

8:22

Answer:

reflection over x-axis

hope that helps!!!

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

Answer:

That's impossible to make another word with all those letters used together.

But 5 letter words like  filmy and flamy

and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.

And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai,  and ail

and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.

It's not impossible

I Hope I Had HELPED You :)

SO there is 39 different ways to make other words with the letters you have given me.

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

The number of ways that can be arranged with all letters is 720.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

FAMILY

The number of ways that can be arranged with all letters.

The number of letters in the word FAMILY.

= 6

The number of ways.

= 6!

= 6 x 5 x 4 x 3 x 2 x 1

= 730 ways.

Thus,

The number of ways that can be arranged with all letters is 720.

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#1

[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]

#3

[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]

#4

[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]

Answer:

304

Step-by-step explanation:

x/760 40/100=

760x40=30,400

30,400 divided by 100=304

Answer: she/he is wrong.

Step-by-step explanation:

no offence.