Which pair of functions are inverse of each other

Answer:

x = 40

Step-by-step explanation:

[tex]3x \degree = 120 \degree \\(vertical \: \angle s) \\ \\ x \degree = \frac{120 \degree}{3} \\ \\ x \degree = 40 \degree\\ \\ x = 40[/tex]

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:This is FALSE Linear equations that share the same slope are PARALLEL.

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Answer:

question one C D E question two is A

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

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Answer:

26ft

Step-by-step explanation:

Complete Question:

The equation a = 26w gives the area of a (in square feet) of a rectangle dance floor with a width of w feet. Find its length

Formula for calculating the area of a rectangle is expressed as shown;

Area of a rectangle = Length * Width

Given the equation a = 26w that gives the area of a rectangle

On comparing with the formula;

Length * Width = 26w

Length = 26ft (by comparison)

Hence the length of the rectangle is 26ft

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

First option seems to b correct..

Step-by-step explanation:

Given data set  shows following ...

Sample size: 12

Median: 22

Minimum: 6

Maximum: 30

First quartile: 13

Third quartile: 27.5

Interquartile Range: 14.5

Outliers: none

Basically box and whisker represents 5 things.In case of box and whisker  

The most left point of left side represents the Stating point of data smallest value

The most right  point of right side represents the ending point of data largest value of data

left side of box respresnts the Q1 lower quartile while right side represnts

the upper  quartile Q3 ..

And there is line somewhere in box  that represents the  medianof data set..

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

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Answer:

0

Step-by-step explanation:

The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).

Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by  linear function y=ax+b we find coordinates of the point A represent x intercept  using value for the second coordinate y=0 then return this value to linear function

0=ax+b       subtract b from both sides

-b     -b

-b=ax          divide by a which id different then 0

-b/a=x

X-itercept is a point A(-b/a, 0)

For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b

y=a*0+b  

Y=0+b

y=b

y intercept is a point B(0,b)

For the special types of linear equations:

1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)

2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.

3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).

4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines

Step-by-step explanation:     Example y=2x+6. For x intercept  y=0, return to linear function and in the place oy poot its value  

               0=2x+6    subtract  6

              -6      -6

              -6=2x          divide by 2

              -3=x                                                                                                      

X intercept points is a point A(-3,0)                                                                                                                        

For the y intercept point B(x,y)  x=0, return to linear function and in the place of x poot its value

              y=2x+6

              y=2*0+6

              y=0+6

              y=6

x intercept is a point B(0,6).

Answer:

32 feet

Step-by-step explanation:

given the following;

Length of wire = 40feet = hypotenuse

Base of the pole = 24 feet = adjacent

Required

Height of the pole (opposite)

Using the pythagoras theorem;

hyp^2 = opp^2 + adj^2

40^2 = 24^2 + opp^2

1600 = 576 +opp^2

opp^2 = 1600 - 576

opp^2 = 1024

opp = √1024

opp = 32feet

Hence the utility pole is 32feet tall

Answer:

6(9+x)

Step-by-step explanation:

Answer:

[tex]6(x + 9)[/tex]

mmm it's according to me

Answer:

Okay its okay

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Mathew: 0.8 = 80%

Lily: 1/4 = 25%

George: 77%

Sam: 82%

Answer:

18.44°

Step-by-step explanation:

The line of sight of the player to the rim, the height of the eyes of the player above the floor, the distance of the player from the center of the rim and the height of the center of the rim above the ground form a trapezium. The height  of the center of the rim above the ground and  the height of the eyes of the player above the floor form parallel sides.

Since The height  of the center of the rim above the ground = 10 ft and the height of the eyes of the player above the floor = 5 ft, the height of the triangular part of the trapezium is 10 ft - 5 ft = 5 ft. The base of this triangle is parallel to the side of distance of the player from the center of the rim = 15 ft. So the base of this triangle is 15 ft. Since the angle of elevation Ф of the line of sight of the player to the rim is adjacent to this base = 15ft and opposite to the height of the triangle = 5ft,

By trigonometric ratios,

tanФ =opposite/adjacent = 5 ft/15 ft = 1/3

Ф = tan⁻¹(1/3)

Ф = 18.435°

Ф ≅ 18.44°

Answer:

2x=110 degree

2y=70 degree

Given:

Line ST is perpendicular to line PR.

[tex]m\angle PQV=32^\circ[/tex]

To find:

The measure of angle SQU.

Solution:

Line ST is perpendicular to line PR.

[tex]m\angle SQR=90^\circ[/tex]

If two lines intersect each other, then the vertically opposite angles are equal.

[tex]m\angle UQR=m\angle PQV[/tex]       (Vertically opposite angle)

[tex]m\angle UQR=32^\circ[/tex]

Now,

[tex]m\angle SQR=m\angle SQU+m\angle UQR[/tex]

[tex]90^\circ=m\angle SQU+32^\circ[/tex]

[tex]90^\circ-32^\circ=m\angle SQU[/tex]

[tex]58^\circ=m\angle SQU[/tex]

Therefore, the correct option is D.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]height \ \ \ \ \ \ \ Width \ \ \ \ \ \ \ Length\\\\[/tex]

   [tex]1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\[/tex]

Answer:

Step-by-step explanation:

Height width length

Type your answer below:

Height Width Length

1 in               1in          24in

                    2in        12in

1 in                3in       8in

                    4in         6in

1in                                6in

                   2in             4 in

1 in              3in

2in

2in

Answer:

2b: -29 - 13x - 6n

3a: -6

3b: m = 1

Answer:

Step-by-step explanation:

Hope it is helpful...

Answer:

Divisor-D Dividend- A Quotient-C

Step-by-step explanation:

It is to be noted that in the subtopic of Polynomials, a dividend is the factor or element being divided while the element that results from the division of one number using another is called the quotient.

In mathematics, a divisor is a factor or number that divides another leaving no remainder.

That is Dividend/Divisor = Quotient. It is important to note that in Polynomials, there is usually more than one similarity as far as the terms are concerned.

The full question is unavailable hence the general answer.

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Answer:

Abackyard = (3w + 5)2

Apool = w(w + 10)

Asurround = (3w + 5)2 - w(w + 10)

A=8w2+20w+25

The expression for the area surrounding the pool after the pool is

installed is  (3w + 5)² - w(w + 10).

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.

We have,

The pool needs to have a length of 10 feet more than the width.

Then, the area of pool is

= w(w + 10)

and, The backyard have sides measuring 5 feet more than 3 times the width of the pool.

Then, area of backyard

= (3w + 5)²

Now, the area surrounding the pool after the pool is

=  (3w + 5)² - w(w + 10)

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Answer:Sandra =  18c

Step-by-step explanation:

Given that Kurt has c comic books

And

Sandra has 18 times as many comic books as Kurt.

We can say the expression to show how many comic books Sandra has will be

Kurt =  c

Sandra =  18c

Answer:

19.5

Step-by-step explanation:

Mutiply 26 by .75

Answer:

x = 3

Step-by-step explanation:

y = 5x

x + y = 12

x + 5x = 12 (substitute 5x in the place of y)

6x = 12

x = 12/6

x = 3

Answer:

Step-by-step explanation:

y=5x

+5(y)=(12-x)+5  which distributing is +5y= +60-5x

y=5x

+5y=+60-5x

6y=60

y=10

10=5x

x=2

Answer:   sorry about that your answer would come out to be -8/15

which i believe is less than x

Step-by-step explanation:    

Answer:

x < -11/6

Step-by-step explanation:

and boom