The regular polygon below is rotated about its center . Which angle of rotation will carry the figure onto itself ?

(6-3)2 x 3

(3)2 x 3

6 x 3

18

Answer:

More than 1 hour . Cheers.

Step-by-step explanation:

1/4 x 4 = 1

1/2 x 4 = 2

2<1

Answer:

5+3m

Step-by-step explanation:

Answer:

3x = slope

4 = y-intercept

Step-by-step explanation:

Actual formula: y = mx + b

where m = slope

b = y-intercept

Equation given: y = 3x + 4

In this case the "3x" is the slope

And the "4" is the y-intercept (it never changes as well)

Hope this helped!

Have a supercalifragilistcexpialidocious day!

Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13

Answer:

Step-by-step explanation:

p-1=5p+3p-8

7=7p

p=1

Answer:

p = 1

Step-by-step explanation:

[tex]p-1 = 5p + 3p - 8[/tex]

combine like terms on the right side

[tex]p - 1 = 8p - 8[/tex]

subtract 8p from both sides

[tex]-7p - 1 = -8[/tex]

add 1 to both sides

[tex]-7p = -7[/tex]

divide both sides by -7

[tex]p = 1[/tex]

Answer:

1.0.73

2.0.05

you are welcome

Answer:

803.84 feet squared

Step-by-step explanation:

A=pi*r^2

16^2=256

256*pi=803.84

Answer:

a=1

b=5

c=1

d=3

1+5+1+3 = 10

here u go

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Answer:

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y intercept

Since, m = -[tex]\frac{1}{2}[/tex]

Equation of the line will be,

y = [tex]-\frac{1}{2}x+b[/tex]

Since, a point (3, -6) lies on the line,

-6 = [tex]-\frac{3}{2}+b[/tex]

b = -6 + 1.5

b = -4.5

Equation of the line will be,

[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]

Table for the points on the graph,

x      -4         -3         -2        -1          0        

y      -2.5      -3       -3.5      -4       -4.5    

Plot these points and join them to get the graph of a line.

Answer:

Step-by-step explanation:

For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.

OR

1. We know that, 'Translation shifts the figure in any direction'.

As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).

Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.

2 and 3. We know that, ' Reflection flips the image over a line'.

As the function g(x) is reflected over y-axis, the new form of the function is g(-x).

As the function h(x) is reflected over x-axis, the new form of the function is -h(x).

4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.

Let us assume the function to be a point (x,y).

As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R

90

(x,y) = ( -y,x ).

As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R

180

(x,y) = ( -x,-y ).

As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R

270

(x,

Answer:

Total money Betsy spent on T-shirt = £ 16.5

Total money Betsy spent on Bag = £ 28.5

Step-by-step explanation:

As given, Total money Betsy have = £ 75

Given that Betsy saved 40% of £ 75

⇒Betsy saved = [tex]\frac{40}{100}*75 = \frac{3000}{100} =[/tex]£ 30

So, total money spent on T-shirt and bag = £ 75 - £ 30 = £ 45

Let Betsy spent money on T-shirt = x

     Betsy spent money on Bag = y

⇒ x + y = £ 45   ........(1)

As given, She spent £12 more on the bag than she spent on the T-shirt.

⇒ y = £ 12 + x

Put the value of y in equation (1), we get

x + £ 12 + x = £ 45

⇒ 2x + £ 12= £ 45

⇒ 2x = £ 45 - £ 12

⇒ 2x = £ 33

⇒ x = £ [tex]\frac{33}{2}[/tex] = £ 16.5

⇒ x = £ 16.5

⇒ y = £ 12 + £ 16.5 = £ 28.5

∴ we get

Total money Betsy spent on T-shirt = x = £ 16.5

Total money Betsy spent on Bag = y = £ 28.5

Answer:

y = x + 1

Step-by-step explanation:

y = -3x + 5

Let y = 2

2 = -3x +5

-3 = -3x

x = 1

(1, 2)

y = mx + b

y = 1x + b

2 = 1 + b

b = 1

Therefor, the other one is, y = x + 1

Answer:

y+4=x

Step-by-step explanation:

desmos. com graphing calculator helps with things like this

Answer:

Step-by-step explanation:

You just need to calculate, how many times does '5' enter in '20'.

It can enter 4 times because:

-5x4= -20

or

-20÷-5=4

Hope it helped! :D

Answer:

4

Step-by-step explanation:

can i get brainliest

Answer:

9%

Step-by-step explanation:

‽?????????????????????????

Answer:

90

Step-by-step explanation:

0.1x=9

x=90

Answer:

90 free throws

Step-by-step explanation:

She would have attempted 90 free throws because since 9 is 10%, and 10x10 is 100, then you would just multiply 9x10.

Answer:

ggs

Step-by-step explanation:

Answer:

Y=1/2x+2

Step-by-step explanation:

The 2 is crossing the y-axis not the x so it crosses out the first two equations and the third one wouldn't work because -4 is through the x-axis meaning it can't be b.

Answer:

The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.

Step-by-step explanation:

From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:

[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)

Each slope can be determine by definition of the slope of a Secant Line:

[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.

If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:

[tex]m_{AB} = \frac{0-0}{50-0}[/tex]

[tex]m_{AB} = 0[/tex]

[tex]m_{BC} = \frac{24-0}{18-50}[/tex]

[tex]m_{BC} = -\frac{3}{4}[/tex]

[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]

[tex]m_{AB}\cdot m_{BC} = 0[/tex]

Which means that both line segments are not perpendicular to each other.

In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.