Rectangle DEFG was dilated
to form D'E'F'G. Point G(-2,0)
was dilated to G'(-8,0).

Step-by-step explanation:

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

also

Number of exports  = 2(number of month) + 1

so

Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.

If we compare it with the slope-intercept form of the line

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e.  

Here,

slope = m = 2

y-intercept = -1

If there is some point that is equal in both the function then it can be said that they are intersecting.

A function is a relation in which each values of x have the value of y.

The key features of the functions :

Functions are equal at that point at which they are intersecting.

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Answer:

[tex] - 2 + 1 \\ = - 1[/tex]

Assuming this is what you asked since your question is not clear.

It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.

It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.

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Answer:

ummm where the pic bro?

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

When you withdraw, you take away, so it is a negative value.

Answer: -11

Answer:

B

C

E

Step-by-step explanation:

5+2=7

3x5=15

5-5=0

Answer:

A.  20 - x = 5     X = 15

B.  x + 2 = 7       X = 5

C.  3x = 15         X = 5

D.  5x = 15         X = 3

E.   x - 5 = 0       X = 5

Step-by-step explanation:

For A

Steps

20 - x = 5

subtract 20 from both sides.

20 - x - 20 = 5 - 20

Simplify

-x = -15

Divide both sides by negitive 1

-x/-1 = (-15)/ -1

Simplify

x = 15

For B

Steps

x + 2 = 7

subtract 2 from both sides.

x + 2 - 2 = 7 - 2

Simplify

x = 5

For C

Steps

3x = 15

Divide both sides by 3

3x/3 = 15/3

Simplify

x = 5

For D

Steps

5x = 15

Divide both sides by 5

5x/5 = 15/5

Simplify

X = 3

For E

Steps

x - 5 = 0

Add 5 to both sides

x - 5 + 5 = 0 + 5

Simplify

X = 5

That was A lot of math lol but I hope that helped

Answer:

Is there any more information to this so I can try and help

Answer:

2π/3 radians is equal to 120°.

Step-by-step explanation:

In this problem, we need to convert the angle 2π/3 radians to degrees.

The relation radian and degree is given by :

[tex]D=\dfrac{180}{\pi}\times R[/tex]

Substitute all the values,

[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]

So, 2π/3 radians is equal to 120°.

Although the options related to your question is missing attached below is the transformation matrix

A transformation matrix alters the original coordinate system of a matrix from x, y to  x' , y' ( i.e. the inverse value of x and y )

Given transformation matrix :

[tex]T = \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right][/tex]

   [tex]= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] [tex]= \left[\begin{array}{ccc}x\\-y\\\end{array}\right][/tex]

From the diagram in the question

x = -2 , y = 4

hence ; T( -2, 4 ) = ( -2, -4 )  

attached below is the transformation matrix showing the application of t to v

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Answer:

A

Step-by-step explanation:

Edg 2021

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

Answer:

Social by contact I think but I don’t

Step-by-step explanation:

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

Answer:

268.1 cm^3

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r)^3.

If the diameter of this sphere is 8 cm, then the radius is 4 cm, and r^3 = 64 cm^3.  Thus, the volume is:

V = (4/3)(3.14)(64 cm^3) = 268.1 cm^3

The midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph:

The midline is the horizontal line about which the graph of a function oscillates

y = -2

The amplitude is the half vertical distance the function travels around the midline.

Amplitude = 1.5

The period: the distance traveled to complete the one rotation:

Period =  4π

Thus, the midline is y = -2, the amplitude is 1.5, and the period is 4π if the because function completes one revolution in 4π

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Answer:

Step-by-step explanation:

Step-by-step explanation:

2x+1>11 1 is positive integers so it have to be cancelled by negative integer 1

2x>11-1

2x>10 two will be cancelled by two to get x

then we divide 2 from 10

x>5 this means x is greater than 5

{x=6,7,8,...}

Answer:

yes ofc  boiiiiii 3 tens=30 ones boiiii and 25 ones=2 tens and 5 ones boiiiii

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

group like terms

27=3y

27/3=y

9=y

Answer:

y=9

Step-by-step explanation:

2y+27=5y

-2y       -2y

27=3y

3     3

9=y

Answer:

x=3

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Three coordinates of triange are given to us and we need to find its perimeter . We know that perimeter is the sum of all sides . Lets find the distance between each sides using distance formula .

• Distance between A and B :-

[tex]\tt\to D_{(AB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AB)} =\sqrt{(3-2)^2+(4-4)^2}\\\\\tt\to D_{(AB)} =\sqrt{( 1^2+0^2 )} \\\\\tt\to D_{(AB)} =\sqrt{1} \\\\\tt\to \boxed{\orange{\tt D_{(AB)} = 1\ units }}[/tex]

_________________________________

• Distance between A and C :-

[tex]\tt\to D_{(AC)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AC)} =\sqrt{(3-2)^2+(4+4)^2}\\\\\tt\to D_{(AC)} =\sqrt{( 1^2+8^2 )} \\\\\tt\to D_{(AC)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(AC)} = \sqrt{65}\ units }}[/tex]

_________________________________

• Distance between C and B :-

[tex]\tt\to D_{(CB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(CB)} =\sqrt{(3-3)^2+(4+4)^2}\\\\\tt\to D_{(CB)} =\sqrt{( 8^2+0^2 )} \\\\\tt\to D_{(CB)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(CB)} = \sqrt{65}\ units }}[/tex]

Hence the total perimeter will be ,

[tex]\to\tt D_{(AB)}+D_{(BC)}+D_{(CA)}\\\\\tt\to \sqrt{65}+\sqrt{65}+1 \\\\\tt\large\to\underline{\boxed{\green{\tt 1 +2\sqrt{65} \:\:units }}}[/tex]

Answer:

-7

Step-by-step explanation:

-9(x+3)=36

-9x-27=36

-9x=36+27

-9x=63

-9x/9=63/9

x=-7

Answer:

a) 1/2

b)2.5

c)17.5

Step-by-step explanation:

The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=[tex]y_2-y_1/x_2-x_1[/tex], the work for question a is as follows:

m= 5.5-3/6-1

m=1/2 or 0.5

Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.

y=mx+b

3=0.5(1)+b

3-0.5=b+0.5-0.5

2.5=b

Finally, plug in all the numbers to find the answer for question c.

y=0.5x+2.5

y=0.5(30)+2.5

y=17.5

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

Answer:

M1 and M2 money have several definitions, ranging from narrow to broad. M1 = coins and currency in circulation + checkable (demand) deposit + traveler's checks. M2 = M1 + savings deposits + money market funds + certificates of deposit + other time deposits.

Step-by-step explanation:

Answer:

I do not know if this is correct  but C?

Step-by-step explanation:

Answer:

What does r and y equal too?

Step-by-step explanation:

Answer:

[tex] = 2(1 \times 2r \times y) \\ = 2(2r \times y) \\ = 4ry[/tex]

Answer:

10

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

points on line:  (0,0), (1,2), (2,4), (3,5) etc

rise by two, run by one means a slope (or constant of proportionality) of 2

Answer:

Step-by-step explanation:

Answer:

68% rode the bus; 32% walked home

Step-by-step explanation: