# Find the equation of the circle whose center and radius are given. center ( -2, -5), radius = 1

QUESTION POSTED AT 18/01/2020 - 07:04 AM

QUESTION POSTED AT 18/01/2020 - 07:04 AM

**Answer: The required equation of the circle is **

**Step-by-step explanation: **We are **given to find the equation of the circle with center (-2, -5) and radius of length 1 unit.**

We know that

**the standard equation of a circle with center (h, k) and radius of length r units is given by**

**For the given circle, we have**

**center, (h, k) = (-2, -5) and radius, r = 1 units.**

**Therefore, from equation (i), we get**

**Thus, the required equation of the circle is **

6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)

y + 3 = (1 + 3)/2 (x - 1)

y + 3 = 4/2 (x - 1)

y + 3 = 2(x - 1) = 2x - 2

y = 2x - 2 - 3 = 2x - 5

y = 2x - 5

y + 3 = (1 + 3)/2 (x - 1)

y + 3 = 4/2 (x - 1)

y + 3 = 2(x - 1) = 2x - 2

y = 2x - 2 - 3 = 2x - 5

y = 2x - 5

ANSWERED AT 16/02/2020 - 07:04 PM

QUESTION POSTED AT 16/02/2020 - 07:04 PM

A regular dodecagon is a polygon with 12 equal sides.

Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

ANSWERED AT 16/02/2020 - 06:36 PM

QUESTION POSTED AT 16/02/2020 - 06:36 PM

The solution to the problem is as follows:

For 3 notebooks you pay $1.98 so the ratio is 1:0.66.

For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

For 3 notebooks you pay $1.98 so the ratio is 1:0.66.

For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:35 PM

QUESTION POSTED AT 16/02/2020 - 06:35 PM

The two fractions with the difference of 1/5 but with neither denominator equal to 5 is **4/10** and **2/10**.

ANSWERED AT 16/02/2020 - 06:32 PM

QUESTION POSTED AT 16/02/2020 - 06:32 PM

10ftx5ft .........................................................................................................................................................................................................................................................................................

ANSWERED AT 16/02/2020 - 06:32 PM

QUESTION POSTED AT 16/02/2020 - 06:32 PM

In the points ( -5 , 0) , ( -4 , 2) , (0 , 10) , and (3 , 16)

-5, -4, 0, and 3 are the domains

ANSWERED AT 16/02/2020 - 06:23 PM

QUESTION POSTED AT 16/02/2020 - 06:23 PM

GI is the bisector of the perpendicular bisector.

ANSWERED AT 16/02/2020 - 06:06 PM

QUESTION POSTED AT 16/02/2020 - 06:06 PM

Yea umm Im not sure but 2, 28?

ANSWERED AT 16/02/2020 - 06:02 PM

QUESTION POSTED AT 16/02/2020 - 06:02 PM

I can be wrong, but I think that the answer is: To find the values of p, q, r and s, you should start by finding all factor **pairs** of the leading coefficiant and constant term.

ANSWERED AT 16/02/2020 - 05:35 PM

QUESTION POSTED AT 16/02/2020 - 05:35 PM

The extrema of a function happen when the derivative is equal to zero. So first we calculate the derivative:R′(x)=100−0.4x

And then we solve:0=100−0.4x

0.4x=100

x=250 units

Now we can substitute back into the original equation to calculate the revenue:R(250)=100(250)−0.2(2502)

R(250)=$12500

And then we solve:0=100−0.4x

0.4x=100

x=250 units

Now we can substitute back into the original equation to calculate the revenue:R(250)=100(250)−0.2(2502)

R(250)=$12500

ANSWERED AT 16/02/2020 - 05:33 PM

QUESTION POSTED AT 16/02/2020 - 05:33 PM

Let

y------> one number

x-----> another number

we know that

------> equation A

------> equation B

substitute equation A in equation B

Find the value of y

the numbers are and

therefore

__the answer is the option B__

** and **

ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 PM

**Answer:**

**Step-by-step explanation:**

Consider ΔABC with vertices such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points is equal to

__Midpoints P , Q , R :__

We know that distance between points is given by

Length of AP :

AP =

Length of BQ :

BQ =

Length of CR :

ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 PM

**Answer:**

**Step-by-step explanation:**

alright lets get started.

the linear combination is given by :

foiling 4 and 2 into the parenthesis

Combinig x and y terms together

** : answer**

Hope it will help. :)

ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 PM

2. n = 8 (Identity property)

3. n = 0 (Zero Property)

4. n = 22 (Additive Identity Property)

5. n = 4 (Fractal property)

3. n = 0 (Zero Property)

4. n = 22 (Additive Identity Property)

5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of
those planes are (2,1,5) and (2,0,5), cross product will give the
parallel vector, divide by its length so it gives the unit vector

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

By definition of supplementary angles,

∠ABD + ∠BDE = 180

5x + 17x - 18 = 180

22x = 198

x = 9

∠ABD = 5(9) = 45°

∠BDE = 180 - 45 = 135°

∠ABD + ∠BDE = 180

5x + 17x - 18 = 180

22x = 198

x = 9

∠ABD = 5(9) = 45°

∠BDE = 180 - 45 = 135°

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

1. -16 + x + 2= 35

x = 35 + 16

**x = 51**

2. 39 - x = -19

x = 39 + 19

**x = 58**

x = 35 + 16

2. 39 - x = -19

x = 39 + 19

ANSWERED AT 16/02/2020 - 05:27 PM

QUESTION POSTED AT 16/02/2020 - 05:27 PM

Here is the equation for this word phrase:

**1 + 2 = 9 / 3**

Quotient is the result of division.

Quotient is the result of division.

ANSWERED AT 16/02/2020 - 05:26 PM

QUESTION POSTED AT 16/02/2020 - 05:26 PM

Cos (π/2 - x) = sin x = 3/5

tan x = sin x / cos x = 3/5 / 4/5 = 3/4

csc x = 1/sin x = 1 / 3/5 = 5/3

sec x = 1/cos x = 1 / 4/5 = 5/4

cot x = 1/tan x = 1 / 3/4 = 4/3.

tan x = sin x / cos x = 3/5 / 4/5 = 3/4

csc x = 1/sin x = 1 / 3/5 = 5/3

sec x = 1/cos x = 1 / 4/5 = 5/4

cot x = 1/tan x = 1 / 3/4 = 4/3.

ANSWERED AT 16/02/2020 - 05:26 PM

QUESTION POSTED AT 16/02/2020 - 05:26 PM

You can do foil method first, to make it easier and to avoid product rule,

y= 45x^4 - 15x³ + 25x² - 72x² + 24x - 40

Simplify like terms,

y= 45x^4 - 15x³ - 47x² + 24x - 40

Now, find derivative,

dy/dx = 180x³ - 45x² - 94x + 24

y= 45x^4 - 15x³ + 25x² - 72x² + 24x - 40

Simplify like terms,

y= 45x^4 - 15x³ - 47x² + 24x - 40

Now, find derivative,

dy/dx = 180x³ - 45x² - 94x + 24

ANSWERED AT 16/02/2020 - 05:13 PM

QUESTION POSTED AT 16/02/2020 - 05:13 PM

Is the answer to your question 33

ANSWERED AT 16/02/2020 - 04:43 PM

QUESTION POSTED AT 16/02/2020 - 04:43 PM

Well you would use the equation y2-y1/x2-x1 to find any slope

ANSWERED AT 16/02/2020 - 04:36 PM

QUESTION POSTED AT 16/02/2020 - 04:36 PM

First, you have to identify what the graph is: a parabola, a circle, an ellipses, etc. it's a parabola.

to be totally honest, i don't know what the (1, 0) point is for. i thought it was meant to be the vertex, but it doesn't make sense? you find the vertex by calculating the midpoint, if nothing else, and the midpoint here is 0.5 ?? but i chose to disregard it and assume it to be a misprint

the graph gives you the x-intercepts, which are your "zeroes" -- this means that you can format them like so:

y = (x + 3)(x - 4)

this will give you your equation. you just have to list the zeroes as factors, then foil them to get a ax² + bx + c formula:

y = x² - x - 12

however, we generally prefer parabolas to be in vertex form. you can get it there by completing the square:

y = x² - x - 12

move the 12 so that it's with the y

y + 12 = x² - x

now you have to complete the square. this is done by taking your "middle" term on the right side, dividing it by 2, and squaring it:

(-1)/2 = -0.5

(-0.5)^2 = 0.25 or (1/4)

i'm going to write it as a decimal because it's easier to follow. when completing the square, whatever you add to one side, you must add to the other, so:

y + 12 + (0.25) = x² - x + (0.25)

then change the right side of the equation into a squared binomial

y + 12.25 = (x - 0.5)²

subtract 12.25 from each side

y = (x - 0.5)² - 12.25

**y = (x - 0.5)² - 12.25** is your formula.

to be totally honest, i don't know what the (1, 0) point is for. i thought it was meant to be the vertex, but it doesn't make sense? you find the vertex by calculating the midpoint, if nothing else, and the midpoint here is 0.5 ?? but i chose to disregard it and assume it to be a misprint

the graph gives you the x-intercepts, which are your "zeroes" -- this means that you can format them like so:

y = (x + 3)(x - 4)

this will give you your equation. you just have to list the zeroes as factors, then foil them to get a ax² + bx + c formula:

y = x² - x - 12

however, we generally prefer parabolas to be in vertex form. you can get it there by completing the square:

y = x² - x - 12

move the 12 so that it's with the y

y + 12 = x² - x

now you have to complete the square. this is done by taking your "middle" term on the right side, dividing it by 2, and squaring it:

(-1)/2 = -0.5

(-0.5)^2 = 0.25 or (1/4)

i'm going to write it as a decimal because it's easier to follow. when completing the square, whatever you add to one side, you must add to the other, so:

y + 12 + (0.25) = x² - x + (0.25)

then change the right side of the equation into a squared binomial

y + 12.25 = (x - 0.5)²

subtract 12.25 from each side

y = (x - 0.5)² - 12.25

ANSWERED AT 16/02/2020 - 04:26 PM

QUESTION POSTED AT 16/02/2020 - 04:26 PM

Hello,

Shall we begin?

y=2x-10

2Y=x-8

2y= x - 8

2( 2x-10 ) = x - 8

4x - 20 = x - 8

4x - x = -8 + 20

3x = 12

x = 12/3

x = 4

Answers: x = 4

Shall we begin?

y=2x-10

2Y=x-8

2y= x - 8

2( 2x-10 ) = x - 8

4x - 20 = x - 8

4x - x = -8 + 20

3x = 12

x = 12/3

x = 4

Answers: x = 4

ANSWERED AT 16/02/2020 - 04:26 PM

QUESTION POSTED AT 16/02/2020 - 04:26 PM

Hi i am sorry i am not sure what to do here i mainly answer questions in biology and maths so if u have any questions related to that subject u can ask me but chemsitry i am not really good at sorry xx

ANSWERED AT 16/02/2020 - 04:20 PM

QUESTION POSTED AT 16/02/2020 - 04:20 PM

The answer is -13.
Solution:
= |-4b - 8| + |-1 - b^2| + 2b^3
= |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3
= |8-8| + |-1+4| + 2(-8)
= |0| + |3| + (-16)
= -13

ANSWERED AT 16/02/2020 - 04:17 PM

QUESTION POSTED AT 16/02/2020 - 04:17 PM

If u have $2.89 yesterday so you need to times $2.82 so I need th0 in the 10th percent so when u times

ANSWERED AT 16/02/2020 - 04:11 PM

QUESTION POSTED AT 16/02/2020 - 04:11 PM

22/30 = 11/15

7/9 = 14/18

18/54 = 1/3

10/17 = 20/34

A proportion can be set up by using the general formula:

a/b = c/d

ad = bc

7/9 = 14/18

18/54 = 1/3

10/17 = 20/34

A proportion can be set up by using the general formula:

a/b = c/d

ad = bc

ANSWERED AT 16/02/2020 - 04:10 PM

QUESTION POSTED AT 16/02/2020 - 04:10 PM

The equation of a circle with center (a, b) and radius = r is given by (x - a)^2 + (x - b)^2 = r^2

If center is (-11, 3) and radius is 9, then equation is

(x - (-11))^2 + (y - 3)^2 = 9^2

(x + 11)^2 + (y - 3)^2 = 81

If center is (-11, 3) and radius is 9, then equation is

(x - (-11))^2 + (y - 3)^2 = 9^2

(x + 11)^2 + (y - 3)^2 = 81

ANSWERED AT 16/02/2020 - 04:09 PM

QUESTION POSTED AT 16/02/2020 - 04:09 PM

A.) Area of region R =

ANSWERED AT 16/02/2020 - 04:08 PM

QUESTION POSTED AT 16/02/2020 - 04:08 PM