Write an equation of a circle that has the center at the origin and goes through (-3,-6)

Answers

Answer 1

Answer:

[tex]x^{2} +y^{2} = 45[/tex]

Step-by-step explanation:

General Equation of circle is

[tex](x-x_1)^{2} +(y-y_1)^{2} = r^{2}[/tex]----------- (1)

Here

[tex](x_1, y_1)= (0, 0)[/tex]

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

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

[tex]r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }[/tex]

[tex]r= \sqrt{9+36}[/tex]

[tex]r=\sqrt{45}[/tex]

Substituting values in equation (1)

[tex](x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}[/tex]

[tex]x^{2} +y^{2} = 45[/tex]


Related Questions

I WILL GIVE BRAINLIEST PLEASE HELP IM SO STUCK:
At a particular instant of time, a pole 37 feet high has a shadow 26 feet long. Find the angle of elevation (in degrees) of the sun at this point of time. Round answer to nearest tenth.


A.45°

B.50°

C.55°

D.60°

Answers

Answer:

use cal and solve it's easy

Help plzzzz
I will mark you as a brainliest

Answers

Substitute the x values back into the equation

(1, 22)
(2, 18)
(3, 14)
(6, 2)

Answer:

(1, 22)

(2, 18)

(3, 14)

(6, 2)

Step-by-step explanation:

all your numbers under x are basically saying "If x was (The number) what would y be?"

and if your equation is y = 26 - 4x that's saying "y is 26 - 4 times (the number)"

A giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour. If
The tortoise and the hare start out together and after half an hour the hare stops to take a rest. How long does it take the tortoise to catch up

Answers

Answer:

3.145 Hours

Step-by-step explanation:

37÷2=18.5

18.5×.17=3.145

It will take the tortoise to catch up with the hare 109 hours.

Given that,
A giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour. If The tortoise and the hare start out together and after half an hour the hare stops to take a rest. How long it takes the tortoise to catch up is to be determined.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Distance traveled by hare in half hour,
= speed * time
= 37 * 1/2
= 18.5 miles

Time is taken by the tortoise to catch up with the hare,
= distance / speed
= 18.5 / 0.17
≈ 109 hours

Thus, it will take the tortoise to catch up with the hare 109 hours.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ2


Solve.
7 + (42 - 5)- O
12
4"
12
16
Done

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

7+(42-5)-0  Equation/Question

Step 2

7+(42-5)-0  Simplify

7+37+(-0)

44+(-0)

44+0

Step 3

44+0  Add them

answer

44

Hope this helps

Answer:

Step-by-step explanation:

i can help

Step 1

7 + (42 - 5)- O  Simplifying

Step 2

7 + (42 - 5)- O  Follow PEMDAS operations

7+37-0

Step 3

7+37-0  Add and subtract

Answer

44

Hope this helps

ILL GIVE BRAINLIST IF CORRECT
Find the rate of change between the two order pairs (1,4) and (-3,-2)
2/3
3/2
4
-1/3

Answers

Answer:

I believe the answer is 3\2

Step-by-step explanation:

PLZ THANK FIVE STAR AND GIVE BRAINLIEST:)

Well if I’m not mistake the answer I got was 3/2 when I did my math

Factored 8x2y3-5=
I need the answer

Answers

Answer: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(23x2 • y3) - 5

STEP

2

:

Trying to factor as a Difference of Cubes

2.1 Factoring: 8x2y3-5

Theory : A difference of two perfect cubes, a3 - b3 can be factored into

(a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =

a3+a2b+ab2-ba2-b2a-b3 =

a3+(a2b-ba2)+(ab2-b2a)-b3 =

a3+0+0+b3 =

a3+b3

Check : 8 is the cube of 2

Check : 5 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Final result :

8x2y3 - 5

What is equation given the slope of 5 and the y-intercept of 12

y = 5x + 12

y = 12x + 5

12 = 5x + b

y = 4(12) + x

Answers

Answer:

y=5x+12 this is the answer to your question

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 1 < x < 11.

Answers

Answer:

                                                                                                                                                                                                                                                   

Step-by-step explanation:

Find the slope.

(1,3) and (-2,0)

m= ___

Answers

Answer:

1

Step-by-step explanation:

Plz help me get the right answer

Answers

Given:

Subtract [tex]-7x^2+1[/tex] from  [tex]-2x^2-4x[/tex].

To find:

The result after subtraction.

Solution:

Subtract [tex]-7x^2+1[/tex] from  [tex]-2x^2-4x[/tex]. It canbe written as

[tex]-2x^2-4x-(-7x^2+1)[/tex]

Using distributive property, we get

[tex]=-2x^2-4x-(-7x^2)-(1)[/tex]

[tex]=-2x^2-4x+7x^2-1[/tex]

On combining like terms, we get

[tex]=(7x^2-2x^2)-4x-1[/tex]

[tex]=5x^2-4x-1[/tex]

Therefore, the required expression after subtraction is [tex]5x^2-4x-1[/tex].

The robotics club is selling shirts for a fundraiser. They have purchased a box of shirts for $400 at $5 per shirt. To promote their fundraiser, they have also spent $60 on advertising.

Answers

Answer:

80x-460=300

80x=760

Step-by-step explanation:

In order to know which equation is best, you have to add the total expenses the robotics club had.

Expenses:

box of shirts = $400advertising = $60

Let's add: $400 + $60 = $460

Next, you have to know how many of the shirts were purchased.

$400 ÷ $5 = 80

Now, let's compute.

80x - 460 = 30080x = 300 + 46080x = 760x = $9.5

or

80x=760x = 760 ÷ 80x = $9.5

This means that the robotics club has to sell the shirts at $9.5 each in order to have a $300 profit.


Find the slope of the line that passes through Point A (6, -3) and Point B (2, – 2), using m=
rise
run

Answers

Answer:

-3

Step-by-step explanation:

the formula to find slope is y2 - y1 / x2 - x1 which is rise over run

(2) - (-2) / (2) - (6) = -3

PLEASE HELP IT IS TIMED!! I WILL GIVE YOU THE BRAINLIEST

Answers

Answer:

x= 12.3

y=8.4

Step-by-step explanation:

ara heated 950 mL of solution. After a few minutes, 35% of the solution had evaporated. What quantity of solution remained

Answers

Answer:

617.5 mL

Step-by-step explanation:

You start with 950. You know that 35% evaporates so that means 65% remains. (100-35=65). Then you multiply 950 by 0.65(65% converted to a decimal) and you get 617.5 mL.

Yessir be ingredients and a good

3. Calculate the slope of the line given the two points. (1.6) and (3.9) ​

Answers

Answer:

m = 3/2

Step-by-step explanation:

9th grade math......

Answers

Answer:

geometric, dividing by 3 every time

Step-by-step explanation:

Answer:

This is a geometric sequence and the common ratio is equal to 1/3

===========================================================

Explanation:

The sequence is not arithmetic because the gap between 45 and 15 is not the same as the gap from 15 to 5

Note how

15-45 = -305-15 = -10

Showing that we dropped by 30 when going from 45 to 15, but then we dropped by 10 when going from 15 to 5.

This gap or jump must be the same to have an arithmetic sequence.

--------------------

This sequence is geometric though.

We can see that by dividing each term by its previous term

term2/term1 = 15/45 = 1/3term3/term2 = 5/15 = 1/3

Each time we get the same result 1/3 after reducing. If we didn't get the same result each time, then this sequence wouldn't be geometric.

But since we do get the same result each time, this tells us that the common ratio is 1/3. Each new term is 1/3 that of the previous term

For instance,

term2 = (1/3)*term1 = (1/3)*45 = 15

HELPPPPP!!!PLZZZZZZ TYY

Answers

The answer would be Y=-7x+4

Answer:

y=[tex]\frac{2}{3}[/tex] x+4

Step-by-step explanation:

Chelsea has 14 daisies. She has 11 more daisies than roses. Chelsea buys more roses. Now she has 12 roses. How many roses did Chelsea buy?

Answers

Answer:

she bought 15 roses

Step-by-step explanation:

because she already had 3 because she had 11 more dasies then roses then she bought 2 more bringing her to the grand total of 15

solve
3x-11x-20=0.





.​

Answers

Answer: x=-5/2

Step-by-step explanation:

1.add similar elements

-8x-20=0

2.add 20 to both sides

-8x-20+20=0+20

3.simplify

-8x=20

4. divide both sides by -8

-8x/-8 = 20/-8

5.simplify

x=-5/2

Graph y = x + 4.
The picture shows the graph

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file of the graph:

In the question by adding through 4, Y's value is the amount you now have that I choose 3 as x value. 3+4=7 So

If x=3, y=7, Then chose the value x  that is 4 and −6 When x=-10, y=-6

by putting the ruler value through each of them and draw a line, that extend the line to the graphical edge field.

What is the solution to f(x)=g(x)?

Answers

the answers are x=0 and y=1

Solve the question below

Answers

Try 75. I could be wrong but try it

dont do QA
plzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

[tex](a) x^2-2x=x \times (x+2) \\\\(b) 6x^2+12x=2\times 3 \times x \times ( x + 2) \\\\(c) 3x^3 - 9x=3\times x \times (x^2 -3) \\\\(d) 4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)[/tex]

Step-by-step explanation:

To factorize, at first, do factorize all the terms then take the common terms out.

(a) [tex]x^2-2x[/tex]

This can be written as

[tex]x^2-2x= x\times x + 2 \times x[/tex]

Now, taking x commom from both the terms.

[tex]x^2-2x=x \times (x+2)[/tex]

(b) [tex]6x^2+12x[/tex]

[tex]=2\times 3 \times x\times x + 2\times 2 \times 3 \times x[/tex]

Now, taking [tex]2\times 3\times x[/tex] common from both the terms, we have

[tex]6x^2+12x=2\times 3 \times x \times ( x + 2)[/tex]

This is the required factorization.

(c) [tex]3x^3 - 9x \\\\[/tex]

[tex]= 3 \times x \times x \times - 9\times x \\\\ 3x^3 - 9x=3\times x \times (x^2 -3)[/tex]

This is the required factorization.

(d) [tex]4x^2 +28 x^3[/tex]

[tex]= 2 \times 2 \times x \times x + 2 \times 2 \times 7 \times x \times x \times x \\\\4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)[/tex]

This is the required factorization.

Compare the lengths of the segments. Rope C is _______ times as long as rope A. Write a multiplication equation

Answers

Answer:

Twice ; c = 2a ; a = c/2

Step-by-step explanation:

Since the drawing area has been gridded, accurate calculation could easily be performed ;

Rope A occupies 5 boxes

Rope C occupies 10 boxes

Hence,

10 boxes for C / 5 boxes for A

Therefore,

Rope C is Twice the length of Rope A.

If length of Rope A = a ; length of Rope C = c

Then, a multiplication equation for the length of Rope C equals ; c = 2a

Division equation :

a = c/ 2

simplify the following

Answers

1) 3a2b
2)c^6
3)10y^7
4)12g^4h^5

Answer:

a). 6ab. b) C6 c)10y7 d)12g4h5

i need help plssssss​

Answers

Answer:

This is a greatest common factor problem.

What is the greatest common factor of 18 and 30?

18 is 1 x 18: 2 x 9; 3 x 6

30 is 1 x 30: 2 x 15: 3 x 10; 5 x 6

Our greatest common factor is 6.

How many 6 inch boards can you cut from 18 and 30 inches.

18/6 = 3

30/6 = 5

Or, when you find the GCF, it's multiple is the number of boards at that length that can be cut.

The surface area of the right rectangular prism with dimensions shown is 160 cm2 the figure is not to scale. what is the height of the prism?​

Answers

Answer:

80 centimeters

Step-by-step explanation:

FIND THE VOLUME OF THIS PLEASE!!!!

Answers

Answer:

60

Step-by-step explanation:

length * width * heigth so 4*3*5=60cm^3

Answer:

the volume is 60cm

Step-by-step explanation:

hope this helped :)

If grades are weighted 60% tests, 20% quizzes and 20% final exam... What is your course grade if you have a 75 test average, a 80 quiz average and make a 60 on the final

Answers

Answer:

73

Step-by-step explanation:

course grade = (75 x 0.6) + (80 x 0.2) + (60 x 0.2)  

                       =  45 + 16 + 12

                        = 73


0.375 is an example of a terminating decimal.
True
False

HELP

Answers

Answer:

True

Step-by-step explanation:

the decimal does not continue further making it a terminating decimal

Answer: True

Step-by-step explanation: If I'm wrong I'm very sorry.

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