Find the domain and range of the function. Use a graphing utility to verify your results. (Enter your answers using interval notation.)

Answer:

[tex](x-5)^2+(y+3)^2=10[/tex]

Step-by-step explanation:

equation of a circle: (x – h)^2 + (y – k)^2 = r^2 where (h,k) is the center

The center of the circle is at (5, -3)

(x-5)^2+(y+3)^2

To find the radius, use distance formula: [tex]\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]

[tex]\sqrt{(6-5)^2 + (3)^2}[/tex]

[tex]\sqrt{1^2 + 3^2} = \sqrt{1+9} = \sqrt{10}[/tex]

[tex](x-5)^2+(y+3)^2=10[/tex]

Answer:

length = 11 ft

breathe = 5 ft

perimeter of rectangle = lxb

= 11ft x 5ft

= 55 ft

the answer is 55 ft

Answer:

Perimeter of rectangle = 2(l+b)

=2(11+5)

=2x16=32ft

Answer:

A

Step-by-step explanation:

Cos=A/H

Cos35=x/28.7

28.7×cos 35

Answer:

the answer is A

I hope this helps out

Answer:

7 block s

Step-by-step explanation:

3 from North plus

4 from West

4+3=7

Answer:

The way to consider this problem is to realize that the

% symbol actually is equal to a number just like [tex]\pi[/tex] is

whereas [tex]\pi[/tex] is equal to 3.1415... , % is equal to .1 (as a decimal ) or 1/100 as

a fraction... thus

10% is actually 10 * 1/100 or 10/100 which is not 10...

as for the size the 1/100 essentially a DIVISION thus it ends up being SMALLER

Step-by-step explanation:

We can not compare a number and a percentage. 10% of something means 1/10th of something and it can be anything for instance.

The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin phrase made its way into English. Later, it was shortened to percent and ended with a period. Later, the period was eliminated, and the two portions were combined to create the current one-word form of a percent.

The best way to approach this issue is to understand the percentage. The % sign actually corresponds to a number. While equals 3.1415, % is equivalent to.1 (as a decimal) or 1/100 as a portion, hence, 10% is actually 10 * 1/100, which is not the same as 10. Regarding size, since 1/100 is essentially a division, it becomes smaller.

Therefore, A number and a percentage cannot be compared. 10% of something is equal to one-tenth of it, and it can be anything, for example.

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Answer:

10miles

Step-by-step explanation:

Answer:

I have no clue what is going on wit dis g

(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that

1000x - 100x = 3123.333… - 312.333…

==>   900x = 2811

==>   x = 2811/900 = 937/300

(b) x = 4.38555…   ==>   100x = 438.555… and 1000x = 4385.555…

==>   900x = 3947

==>   x = 3947/900

(c) x = 37.222…   ==>   10x = 372.222…

==>   9x = 335

==>   x = 335/9

(d) x = 16.292929…   ==>   100x = 1629.292929…

==>   99x = 1613

==>   x = 1613/99

(e) x = 2.333…   ==>   10x = 23.333…

==>   9x = 21

==>   x = 21/9 = 7/3

Answer:

7 and 42

Step-by-step explanation:

The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Answer:

Does the answer help you?

Answer:

1) Distance=Speed*time

90=(x+1)*(x)+(2x+5)(x-1)

90=x^2+x+2x^2-2x+5x-5

3x^2+4x-95=0

2) 3x^2+4x-95=0. Using quadratic formula, we get

x=(-4±sqrt(16-4*3*(-95)))/6, x=5 or - 19/5 but since x also represents time, it can't be negative.

3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours

Answer:

none

Step-by-step explanation:

Radical equation is an equation un which variable involve under the radical sign.

but in all given equation not a single variable is under radical sign.

Note: if you need to ask any question please let me know.

Answer:

4

Step-by-step explanation:

The period is the length of one cycle.

By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.

The length of one cycle of this graph is 4.

The period of function is,

P = 4

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 4

Therefore, The period of function is,

P = 4

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Answer:

1. x = 24

2. x = 31

Step-by-step explanation:

For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.

For number 2,  2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.

Answer:

1. 24

2. 31

Step-by-step explanation:

1. opposite angles are equal

( 3x-1)°=71°

3x=72

x=24

2. remember opposite angles are equal,

180°= (2x)°+(4x-6)°

186=6x

x=31

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

a = 2x   ;  b = 3y

(2x)²= 2x * 2x = 4x²

(3y)²  =3y * 3y = 9y²

(2x + 3y)² = (2x)² + 2 *2x*3y + (3y)²

              = 4x² + 12xy + 9y²

Answer:

A fence

Step-by-step explanation:

1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888

2. -294912

3. 16

Answer: 81, 243, 729

Step-by-step explanation:

STEP ONE: Find a pattern in the sequence

3 ÷ 1 = 3

9 ÷ 3 = 3

27 ÷ 9 = 3

As we can see from the given sequence, each number multiplies 3 to get the next term.

STEP TWO: Find the next three terms

27 × 3 = 81

81 × 3 = 243

243 × 3 = 729

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

3x° + 60° = 360°

3x = 360 - 60

3x = 300

x° = 100°

Answer:

here's the answer to your question

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

Answer:

285pound

Step-by-step explanation:

Volume of the container = length * width * height

                                        = 13 * 9 * 4

                                        = 468 cubic feet

Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound

Answer:

Step-by-step explanation:

No, because unit prices are different.

[tex]\frac{9.00}{150}[/tex] = $0.06 per gram

[tex]\frac{12.50}{250}[/tex] = $0.05 per gram

[tex]\frac{22.75}{325}[/tex] = $0.07 per gram

The two triangles are equivalent triangles

Flowchart proofs are organized with boxes and arrows.

The statements given are written in the box and the reason of that statement is written just below the box.

Every statement if flowchart proof complements other statement.

The correct answer is

∠AZ = ∠BX

The two triangles are equivalent triangles.

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Answer

8956

explanation step by step

Answer: numbers are 8956 and 62692

Step-by-step explanation:

Let the numbers be x and 7x

ATQ

x + 7x = 71648

8x = 71648

x = 71648/8

x = 8956

Therefore the numbers are 8956 and 62692 respectively

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Step-by-step explanation:

gradient(m)=change in y/change in x

=5-1/-9-(-4)

=4/-9+4

=4/-5

equation now

y-y1=m(x-x1)

y-1=4/-5[x-(-4)]

y=4/-5(x+4)+1

y=-4/5x-16/5+1

y=-4/5x-21/5

Answer:

y = -4/5x - 11/5

Step-by-step explanation:

First, find the slope using the slope formula.

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]

Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.

[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]

Answer:

B

Step-by-step explanation:

Sine is opposite/hypotenuse. Sine C  would be 5/13 so option B is correct.

Answer:

k = -20.

Step-by-step explanation:

Do the division:

4x  ) 12x^2 + kx ( 3x

       12x^2 + k/4

So k/4 = - 5

k = -20.