What is the length, in units, of segment CD?

5.50
12.25
8
14

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points (0,0) and (4,-3).

[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]

[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

So, the radius of the circle is 5 units.

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

[tex](x-0)^2+(y-0)^2=5^2[/tex]

[tex]x^2+y^2=25[/tex]

Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

Step-by-step explanation:

a + 9 = 6

p + 20 = -30

Answer:

Multiply it by 4 and divide it by 100.  It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price.  14300

Step-by-step explanation:

PLEASE rate follow and thank

Answer: 6281

Step-by-step explanation:

Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this isnt highschool, u are dum

Answer:

376-182=194

so 194 us the 1st

182 is the 2nd

Answer:

tenths place

Step-by-step explanation:

The 6 is in the tenths place, according to this chart.

Answer:

No Solution

Step-by-step explanation:

2(x - 5) = 2(x - 3)

2x -10 = 2x -6  When we subtract 2x from both sides we are left with a false statement.

-10 [tex]\neq[/tex] -6

Thus, no solution.

Answer:

A. 190 inches

Step-by-step explanation:

Plug in the numbers to the surface area formula  to get 190, i messed up last time

Answer:

32

Step-by-step explanation:

Substitute a = - 2 into the expression and evaluate

3(- 2)² - 7(- 2) + 6 = 3(4) + 14 + 6 = 12 + 14 + 6 = 32

Answer:

32

Step-by-step explanation:

a^2=4

3*4=12

3a^2=12

7a= -14

-7a=14

6=6

12+14+6=32

Answer:

x = 9

Step-by-step explanation:

x−(3)(3=x+−9 )

I did a proportion and I think the answer is 13.6 or 14 after being rounded

Step-by-step explanation:

20 % of 1.30 is 1.30×20 / 100 = 0.26

1.30 increased by 20% is 1.30+0.26= 1.56

Answer:

$46.00

Step-by-step explanation:

$46.00 - $20 + $5 = $21

Answer:

2 t-shirts, 3 cd's, 5 books.

Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.

Answer:

B :  y axis is parallel

     x axis is perpendicular

  4:     (4,8) (4,10)

5: (4,25)

Step-by-step explanation:

Hope this helps, and if you can please mark me Brainiest.

Answer:

$67400

Step-by-step explanation:

Given that :

Net income = 53246

Deduction (tax purposes) % = 21%

Gross income = net income + deduction

Let gross income = x

x = 53246 + 21% of x

x = 53246 + 0.21x

x - 0.21x = 53246

0.79x = 53246

x = 53246 / 0.79

x = 67400

Answer:

1/8 in decimal form is 0.125

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Answer:

1 Pencil = 15p

5 Pencils = 75p

11 Pencils = 165p --> £1.65

Step-by-step explanation:

To find one pencil... 90 / 6 = 15

To find 5 pencils... 15 (worth 1 pencil) * 5 = 75

To find 11 pencils... 15 (worth 1 pencil) * 11 = 165 which is £1.65

Answer:

When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.

Step-by-step explanation:

its there

Answer:second 1

Step-by-step explanation:

Answer:

The blue line models the data points better than the red line. It is because the data points are all close to the line.

Answer:

12 degrees

Step-by-step explanation:

Total angle in a circle = 360 degrees

If a circle is divided into 30 equal parts

measure of each part = Total angle in a circle/Total parts

measure of each part  = 360/30

measure of each part  = 12 degrees

Hence the measure of each part is 12 degrees