1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
3 years ago
15

the point with coordinates (2,-5) lies on the circumference. The center of this circumference has the coordinates (2,1). What is

the radius of this circle?
Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer: The radius is

r

=

3

.

Explanation:

If the point

(

−

3

,

2

)

belongs to the circle

(

x

+

3

)

2

+

(

y

+

1

)

2

−

r

2

=

0

then its coordinates must verify that equation. That is, if we substitute in the equation of the circle

x

by

−

3

and

y

by

2

we must obtain a true equality. Then, it is enough to clear

r

of that equation:

(

−

3

+

3

)

2

+

(

2

+

1

)

2

−

r

2

=

0

⇒

9

−

r

2

=

0

,

then:

r

=

√

9

=

3

.

(Remember

r

is a distance, then it's always a positive number).

Step-by-step explanation:

You might be interested in
The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items
ollegr [7]

Solution :

$T_1$ = k.n (cost proportional to quantity)

35000 = k . 700

k = $\frac{35000}{700}$

  = 50

So $T_1$ = 50 n

Now $T_2=Pn^2$     (cost proportional to square of n)

$3430= P(700)^2$

3430 = 490000 P

$P = \frac{3430}{490000}$

$P = \frac{7}{1000}$

$T_2=\frac{7}{1000}n^2$

Now, $T_3= 7000$   (fixed)

Therefore,

Total, $T=T_1+T_2+T_3$

$T=50n+\frac{7}{1000}n^2+7000$

$T=0.007n^2+50n+7000$

7 0
3 years ago
Please help -2/5 + 4/5 on a numberline
4vir4ik [10]

Answer:

it will be 2/5

then it should be between 0 and 1

make 5 parts b/w 0 and 1 then the 2 nd one is 2/5.

I think so this is the ans.

8 0
4 years ago
 multiplying polynomials <br>find the product<br>(5n+6)(5n-5)
Viktor [21]
(5n+6)(5n-5) =5n\cdot 5n -5n\cdot 5+6\cdot 5n-6\cdot 5=\\ \\=25n^2-25n+30n-30 =25n^2+5n-30


3 0
3 years ago
Read 2 more answers
How do you solve 5,371 x 27?
bazaltina [42]

Answer:

To solve this problem you need to take 5,371*27

To do this on paper you would line them up vertically where the 27 matches up with the 71 in 5, 371

You then multiply the 7 (from the 27) to all the digits in 5, 371 that should give you 37, 597

Then you add a 0 below the last 7 in 597

You now take the 2 and times it to all the digits in 5, 371, that should give you 107, 420

Now you would add those two number together

37, 597+107420= 145,017

5,371*27=145,017

Hopes this help explains things ;)

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Simplify 9x^2 - 25/3x-5
satela [25.4K]
First, we are going to write it like this:
\frac{9x^2-25}{3x-5}
Then, we are going to do something like factoring, but it's not factoring. An example would be: x^2-y^2=\left(x+y\right)\left(x-y\right)
If we apply it, we would be left with:
=\frac{\left(3x+5\right)\left(3x-5\right)}{3x-5}
We cancel the common factors, and we are left with:
=3x+5
That's our final answer.

Let me know if you need any more help!
Thanks!
-TetraFish
4 0
3 years ago
Other questions:
  • Evauluate 1 1/3 + 2 2/3
    12·1 answer
  • What is the number between 1026 and 1254
    12·2 answers
  • Find arc length. (NEED ASAP)
    9·2 answers
  • A wheat farmer cuts down the stalks of wheat and gathers them in 200 piles. The 200 gathered piles will be put on a truck. The t
    5·2 answers
  • Find the time it takes for $6,400 to double when invested at an annual interest rate of 19%, compounded
    12·1 answer
  • Which set of numbers does NOT describe the side
    13·2 answers
  • What’s the value of x?
    9·1 answer
  • Use the distributive property to remove the parentheses.<br> (v-2)9
    5·1 answer
  • Please help ! 13 points
    7·1 answer
  • -10÷0.22 what is the answer​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!