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3 years ago

What transformation is used to create this frieze pattern?

Mathematics

1 answer:

Lesechka [4]3 years ago

5 0

Answer:

glide reflection

Step-by-step explanation:

got it right on the test!

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The equation of a circle is x^2 + y^2 -4x + 2y -11 =0 . What are the center and the radius of the circle? Show your work.

stira [4]

Answer:

Center: (2,-1)

Radius: 4 units

Step-by-step explanation:

Equation of the circle in standard form is:

$x^{2}+y^{2}+2gx+2fy+c=0$

The radius of this circle is located at (-g, -f) and its radius is equal to:

$r=\sqrt{g^{2}+f^{2}-c}$

The given equation of circle is:

$x^{2}+y^{2}-4x+2y-11=0$

Re-writing this equation in a form similar to the standard equation:

$x^{2}+y^{2}+2(-2)x+2(1)y-11=0$

Comparing this equation with standard equation we can say:

g= -2

f = 1

c = -11

So, the center of the circle will be located at (-g, -f) = (2, -1)

And the radius will be = $\sqrt{g^{2}+f^{2}-c} =\sqrt{(-2)^{2}+(1)^{2}-(-11)} =\sqrt{16} =4$

Thus the radius of the given circle is 4 units.

7 0

4 years ago

Complete the frequency table:

SOVA2 [1]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 18 165

Age 15 and above 65 195

Column totals 152 110 98 360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 87 18 60 165

Age 15 and above 65 92 38 195

Column totals 152 110 98 360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

5 0

2 years ago

A crew of highway workers paved 14 mile in 16 hour. If they work at the same rate, how much will they pave in one hour?

Novosadov [1.4K]

14 miles.....16hours
xmiles.......1hour

14x1=14
14/16=0,88 miles

4 0

3 years ago

Is 2.125 rational or an intergers

kenny6666 [7]

It is a rational number
It is not an integer because it isn't a whole number

4 0

3 years ago

Read 2 more answers

Kim is planning a trip to Spain. She will stay there for a total of thirteen nights. She has found two options for her lodging:

lys-0071 [83]

Answer:

Step-by-step explanation:

search up your answer and its on a quizlet

3 0

3 years ago