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Sphinxa [80]
3 years ago
12

What is the equation of a circle centered at the origin with radius 20?

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where 
(h,k)-----> is the center
r--------> is the radius

is the center is the point (0,0) and radius  r=20
then
(h,k) is (0,0)

(x-0)²+(y-0)²=20²---------> (x)²+(y)²=400


the answer is
the option D.)  x2 + y2 = 400
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Please help me i dont get it at all
Hitman42 [59]

y = 218.2. The lenght of side y by  trigonometry is 218.2.

In order to solve this problem we are going to use the angles and sides of a right triangle and its relation by expressions that we call trigonometric ratios.

In the image we can see that the lenght of the opposite leg is 141 , we do not know the lenght of the adjacent leg y and the hypotenuse x. The key to solve this problem is to use trigonometric ratios and the equation tan θ = sin θ/cos θ = opposite leg/adyacent leg = 141/y

Clear for y for the equation tan θ = sin θ/cos θ = 141/y, we obtain:

y = arctan θ (141)

y = arctan (43°)(141) = 218.2

8 0
3 years ago
Write an expression for each quantity
Ira Lisetskai [31]
28) 7w
30) x/16
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4 0
4 years ago
Add 8 to the input and then multiplies by 5
pogonyaev

Answer:

y = 5(x + 8)

Step-by-step explanation:

The first step is to add 8 to the input, you get x + 8. Then you need to multiply that number by 5. An equation that represents that is y = 5(x + 8).

*You can't just write down y = 5x + 8 because you are multiplying the result of x + 8 by five, not multiplying x by 5, then adding 8.

3 0
3 years ago
Read 2 more answers
Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After
neonofarm [45]

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

  • On 4 different days, he bought 2 movies.
  • On 2 other days, he bought 3 movies each day.
  • After that he sold 2 sets of 2 movies.
  • He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

8 0
4 years ago
What is the equation of the line shown on the graph? (-3,1) (2,-4)
11111nata11111 [884]
Slope= ((-4)-1)/(2-(-3))
= -1

equation

y=mx
y=(-1) x
y=-x

6 0
4 years ago
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