Danny flies a drone in a circular path around an object that is 210 feet west and 220 feet south of his position. The drone's path takes it over a point that is 160 feet east and 160 feet south of him. Find an equation for the drone's path. (Assume Danny is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south)

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A circle is the locus of a points such that its distance from a fixed point is always constant.

Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:

(x - h)² + (y - k)² = r²;  where (h, k) is the center of the circle and r is the radius of the circle.

Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).

Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point  (160, -160)

[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]

Using (x - h)² + (y - k)² = r²:

[x - (-210)]² + [y - (-220)]² = (√140500)²

(x + 210)² + (y + 220)² = 140500

x² + 420x + 44100 + y² + 440y + 48400 = 140500

x² + y² + 420x + 440y - 48000 = 0


Related Questions

Use the area of the rectangle to find the area of the triangle. ?​

Answers

Answer:

C

Step-by-step explanation:

rectangle: 5 × 10 = 50ft²

triangle: ½ × 10 × 5 = 5 × 5 = 25ft²

I just feel like doing a challenge. Dont actually need help, so if you dont feel like answering, no problem. But what is 321 times 67. Don't use calculator, and first to get it right will get brainliest (:

Answers

Answer:

21507

Step-by-step explanation:

Which part of the water cycle is this image most similar to?

Answers

Collection or percolation


Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?

Answers

The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3

Answer:

The pair of numbers is (3,3) while the maximum product is 9

Step-by-step explanation:

The pairs of numbers whose sum is 6 starting from zero is ;

0,6

1,5

2,4

3,3

Kindly note 2,4 is same as 4,2 , so there is no need for repetition

So the maximum product is 3 * 3 = 9 and the pair is 3,3

Step-by-step explanation:

hope this helps :)

I NEED HELP ASAP!! plzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

isosceles acute: option C

50 POINTS AND BRAINLIEST
I need to know the steps for solving this. I know the answer is no solution but i don't understand the steps. Please help!!!

Answers

1/1+z+4/z+z^2 +1

1/2z =4/2z^2 +1

1/2z=2(z^2+2)/2z^2

1/2z=z^4+2z^2

z^5/2+2z^2

=therefore it has no solution I think this is the stes i m not sure sorry i m not sure ,try asking somebody else to cuz i m not sure

A circle has a radius of 15 feet. What is the area of
the circle?

Answers

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

Simplify the expression.

2 (-5 - 7j)

Answers

The answer is: -10-14j

Answer:

- 14j -10. the answer online

A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

Answers

Hello!

[tex]\large\boxed{t = -8}[/tex]

We can find the value of t using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the given slope and coordinates into the appropriate places:

[tex]5 = \frac{2-t}{3-1}[/tex]

Simplify:

[tex]5 = \frac{2-t}{2}[/tex]

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]


HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!

Answers

Answer:

I would have to guess c because it show a decrease in the number line

Step-by-step explanation:

Step-by-step explanation:

ɪᴛs ᴛʜᴇ ʟᴀsᴛ ᴏᴘᴛɪᴏɴ D

ᴀs ᴛʜᴇ ᴅᴏᴛ ɪs ᴘᴏɪɴᴛᴇᴅ ʙᴇᴛᴡᴇᴇɴ -15 ᴀɴᴅ -20

I TYPED IN THE ANSWER CAN SOMEONE CORRECT IF IT IS WRONG?

Answers

Answer: No you are not wrong

Step-by-step explanation:

ignore this:isnsjsbjs sjsdjsnsnssnsnnsnsns

Answers

Answer:

4

Step-by-step explanation:

i dont wanna explain but the answer is 4

i believe the c= 4 im not sure if it’s negative or positive but i think it might be negative

(tan^(2)x)/(secx)=secx-cosx how do i verify the identity

Answers

Answer:

sec x − cos x = sin x tan x? First convert all terms into sinx and cosx. Second apply fraction sum rules to the LHS. and replace secx with 1 cosx. The LHS, secx − cosx becomes 1 cosx − cosx. The RHS, sinxtanx becomes sinx sinx cosx or sin2x cosx.

Step-by-step explanation:

. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.

Answers

Answer:

a) The population of interest = 10,000 benefited employees.  It includes all benefited employees.

b) The sample collected = 3,095.  These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data:              Categorical or Numerical    

Gender                                = Categorical

Age (years)                          = Numerical

Education level                    = Numerical

 (years completed)

Marital status                       = Categorical

Household income ($)        = Numerical

Employment Category        = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.).  It is a continuous variable.  A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

The expression 3(x-9) is equivalent to
3(x)+9.
3(x)+3(9).
3(x) - 9.
3(x) - 3(9).

Answers

Answer: 3(x) - 3(9)

Step-by-step explanation:

Answer:

last option

Step-by-step explanation:

Please help.Find the circumference (to the nearest whole number). Use 3.14 for pi.

A.116 in
B. 88 in
C.44in
D.None of the above

Answers

B. 88in , hopefully that helps you:))

The circumference is approximately 88 inches.

The correct option is B. 88 in.

To find the circumference of a circle, we can use the formula:

C = 2πr,

where C represents the circumference and r represents the radius of the circle.

Given that the radius, r, is 14 inches, we can substitute this value into the formula:

C = 2 x 3.14 x 14.

C ≈ 87.92 inches.

Thus, the circumference is approximately 88 inches.

Learn more about circumference of a circle here:

https://brainly.com/question/17130827

#SPJ2

A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .

Answers

Answer:

16 times larger

Step-by-step explanation:

Jacob and Jackson are having a fishing competition.
Each boy adds the lengths of all the fish he catches,
and the winner is the one with the greatest total length of fish.
The following shows the lengths of the fish each boy caught.

Jacob: 512in., 818in.,678in.,1234in.

Jackson: 634in., 578in., 718in., 634in., 514in.

Who won the competition and by how much?

Answers

Answer:

a

Step-by-step explanation:

because Jackson has the most numbers so it would make more sense for it to be a tell me if I'm right or wrong

Simplify (4+y) + (8y - 5)

Answers

Answer:

it is 9y-1

Step-by-step explanation:

You have to simplify the expressions.

Help please. 7th grade

Answers

It is C.8 lines just count how many lines the shape has

8/11x=-4/11 what is the value of x

Answers

Answer:

-1/2

Step-by-step explanation:

8x=-4, x=-1/2

Will Mark As Brainliest!!!!!Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.


Complete the following. Show all work for calculations.


List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Describe the shape of the cross section when the box is cut parallel to the base.

What is the surface area of the box?

What is the surface area of the box if it is scaled up by a factor of 10?

What is the volume of the box?

What is the volume of the box if it is scaled down by a factor of

1

10

?

Answers

Yes it is correct answer in correct answer

I NEED ANSWERS NOW BRAINLY!Steven has one bag that contains disks numbered 1, 2, and 3. He also has a
second bag that contains four disks lettered A, B, C, and D.
Construct a sample space of picking one disk randomly from each age and state the totals number of outcome possible

Answers

9 total outcomes

You can list out all the outcomes like this: 1a, 2a, 3a, 1b, 2b, 3b, 1c, 2c, 3c

or you can multiply 3 (the number of disks in one bag) by 3( the number of disks in the other bag)

The 2nd method is more efficient, also you can use these methods if you get another similar problem

Solve s/10 = 7

the solution is s = ___

Answers

Answer:

S=70

Step-by-step explanation:

(10/1)s/10=7(10/1) multiply 10/1 to both sides

s=70

Answer:s=70

Step-by-step explanation:

PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)

(2x + 3)(4x − 1) = 8x^2 +10x − C


Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)

(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2


question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)

(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4

Answers

The value of C is -3 and the value of B is 5

Expansion

Given the expression

(2x + 3)(4x − 1)

On expansion, ww will have:

(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3

(2x + 3)(4x − 1) = 8x^2 + 10x - 3

Hence the value of C is -3

For the expression (x + 2)(2x^2 + x − 1)

Expnd

(x + 2)(2x^2 + x − 1)  = 2x^3 + x^2 - x + 4x^2 + 2x - 2

(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2

Hence the value of B is 5

Learn more on expansion here: https://brainly.com/question/13602562

Can y’all help me on question six?!

Answers

Answer:

The answer is C (2:1)

Step-by-step explanation:

1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.

8 / 4 = 2

4 / 4 = 1

Therefore, the answer is 2:1 (C)

solve using any method 4x-y=20 and -2x-2y=10

Answers

Answer:

if you're trying to find the slope, it is (3, -8) were you looking for the slope?

Step-by-step explanation:

i hope this helps, have a great day:)

Answer: the answer is x =3, y = -8

Step-by-step explanation:

Solve 3(x + 1) = −2(x − 1) − 4
-1
1
-3
5

Answers

Answer:

x = -1

Step-by-step explanation:

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

use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:

3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)

get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.

3x = -2x - 5

get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x

5x = -5

divide 5 from -5 and you get x = -1


PLEASE ANSWER OFFERING BRAINLEST

Triangle MNQ is similar to triangle MLP. Determine the length of LP.

a. 2 inches
b. 9 inches
c. 12 inches
d. 16 inches

Answers

we can establish a ratio since triangle MNQ is equal to Triangle MLP.

your answer is B 9 inches

The line is parallel to y = -3x - 2 and passes through the point (-4, 3)

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

m -> slope & b ->y-intercept

y = -3x - 2

So, slope of the required line = -3

(-4 , 3)

y -  y1 = m(x - x1)

y - 3 = -3(x - [-4])

y - 3 = -3(x + 4)

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

y - 3 = -3x - 12

     y = -3x -12 + 3

     y = -3x - 9

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