Solve for x in the hanger below

[tex] \: \: \: \: [/tex]

[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

What is an ellipse?

The standard form of the ellipse is defined as;

x² / a² + y² / b² = 1

Where, a < b

Minor axis of the ellipse = 2a

And, Major axis of the ellipse = 2b

Given that;

The equation of the ellipse is,

(x−3)² / 18 + (y+4)² /32 = 1

Now,

We can compare with the standards form of an equation of ellipse, we get;

a² = 18

a = √18

And, b² = 32

b = √32

Clearly, √18 < √32

That is; a < b

So, The minor axis of the ellipse = 2a

                                                  = 2√18

And, The major axis of the ellipse = 2b

                                             = 2√32

Therefore,

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

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Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

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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

Answer:

30:12

Step-by-step explanation:

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:

[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]

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:

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:

[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:

c

Step-by-step explanation:

when we add 0 to x ,it remains x.

x+0=x

0 is additive identity.

Answer:

C

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:

$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:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Answer:

(5,34)

Step-by-step explanation:

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:

x= 0

y= 2

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

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]

The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.

The given expression is,

[tex]8x - 7y = 23[/tex]

The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,

[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]

Divide with number 7 both sides and change the sign of the equation,

[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]

Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.

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Step-by-step explanation:

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

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

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:

6%

Step-by-step explanation:

3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%

c: 782 dollars

.15 times 17 is 2.55

17+2.55= 19.55

19.55 times 40=782

Answer:

Mrs. Byrne washed more

Step-by-step explanation:

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]