All categories

3 years ago

Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:

See attachment for circle

Step-by-step explanation:

Given

$(x -5)^2 + (y + 10)^2 = 6^2$

Required

Draw and label the circle

The equation of a circle is:

$(x -a)^2 + (y - b)^2 = r^2$

Where:

$Center = (a,b)$

$Radius = r$

So, we have:

$Center = (5,-10)$

$Radius = 6$

See attachment for circle

You might be interested in

what is the difference between the mean and the median of the following distribution? {1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,6,7,7,8,8,9

iren2701 [21]

The given distribution =

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

To find mean, we have to add the given numbers and divide it by the total number of terms given.

Here 21 total numbers given.

Mean = (1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9) /21

= (88)/21 = 4.19 (Approximate upto two decimal place)

Median is the middle value of the distribution.

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

There are 21 numbers given. So middle value is the number in the 11th position.

The number in the 11th position is 4.

So, the median of the distribution = 4

We have to find the difference between mean and median here. To find the difference we have to subtract mean and median.

Therefore, the required difference = 4.19 - 4 = 0.19

0.19 is the required answer here.

So, option b is correct.

3 0

4 years ago

Read 2 more answers

6+2(7×-3) Simplify the expression

almond37 [142]

Answer:

=36

Step-by-step explanation:

$6+2(7*(-3) )\\\\=6+2(-21)\\\\=6-42\\\\=2+4-42\\\\=4-40\\\\=36$

7 0

3 years ago

Read 2 more answers

A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?

Ostrovityanka [42]

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

8 0

3 years ago

Find the unknown length of the right triangle. If necessary approximate the length to the nearest thousandth

WARRIOR [948]

We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:

$h^2=(10km)^2+(20km)^2$

Now, we solve the square:

$h^2=100km^2+400km^2$

Now, we add the values:

$h^2=500km^2$

Now, we take the square root to both sides:

$h=\sqrt[]{500km^2}$

Solving the operations:

$h=22.361km$

Therefore, the length of the hypotenuse is 22.361 kilometers.

6 0

1 year ago

509 х Z 45° 529 In the figure, x= and z=

11Alexandr11 [23.1K]

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

∡x is the sum of 50 and 45, deducted from 180

∡y = 95 + 52, deducted from 180

∡z = 180 - 52

8 0

3 years ago

Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2​

Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2