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
Alexxandr [17]
2 years ago
9

Please answer asap!!!!!

Mathematics
1 answer:
kherson [118]2 years ago
4 0

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

You might be interested in
Madison makes 7 out of 12 free-throws. If she continues at the same rate, how many will she make if she shoots 156 free-throw
Alexeev081 [22]

Answer:

what is your answer choice sweetie

Step-by-step explanation:

5 0
2 years ago
{System: I am having a bit of trouble calculating this. And I am reposting this sense I don’t think it’s fair to give only a lit
Darya [45]

Total volume of light-blue paint:

\left(4+\dfrac38\right)+\left(6+\dfrac18\right)=10+\dfrac48=10+\dfrac12

Divide by \dfrac14 to find how many containers he can divided this total into:

\dfrac{10+\frac12}{\frac14}=4\left(10+\dfrac12\right)=40+\dfrac42=40+2=42

so the answer is B.

3 0
3 years ago
the scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the lenght, in f
Dominik [7]

Answer:

67.5

Step-by-step explanation:

6 0
3 years ago
What is the volume of the cone ?
sleet_krkn [62]

{210in}^{3}

This is found by the volume of a cone formula

b \times  \frac{h}{3}

Where b is the base and h is the height

45 \times  \frac{14}{3}   =  \frac{630}{210}  = 210

5 0
3 years ago
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coo
NISA [10]

Answer:

D

Step-by-step explanation:

Ed2020

6 0
3 years ago
Read 2 more answers
Other questions:
  • During the 2010 Great Backyard Bird Count, an average of
    12·1 answer
  • What are some ways to describe the relationships between sets of numbers?
    8·1 answer
  • 5 students sharing 4 bags of popcorn equally
    5·2 answers
  • Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?
    11·2 answers
  • Given O A ‾ ⊥ O C ‾ OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline m ∠ B O C = 6 x − 6 ∘
    12·1 answer
  • WILL GIVE BRAINLIEST!
    15·1 answer
  • What are the possible values of x in 2x^2-8=10
    12·1 answer
  • A researcher is interested in investigating whether people perform better at dexterity tests while listening to classical music
    14·1 answer
  • I’m a little lost on this
    10·1 answer
  • If i have 37 test and i do 12 test a week how many weeks its gonna take
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!