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
Dmitrij [34]
3 years ago
12

the circle shown below is centered at the origin and contains the point (-4,-2). Which of the following is closest to the length

of the diameter of the circle?
Mathematics
2 answers:
aniked [119]3 years ago
8 0
We know the circle has its center at the origin, 0,0, and the point -4,-2 is on the circle, is just the distance from the center to a point on it, thus

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
%  (c,d)
&({{ -4}}\quad ,&{{ -2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
r=\sqrt{(-4-0)^2+(-2-0)^2}\implies r=\sqrt{(-4)^2+(-2)^2}
\\\\\\
r=\sqrt{16+4}\implies r=\sqrt{20}\implies r=\sqrt{4\cdot 5}\implies r=\sqrt{2^2\cdot 5}
\\\\\\
r=2\sqrt{5}
MrMuchimi3 years ago
7 0

Answer:

Diameter=2\sqrt{20}

Step-by-step explanation:

In order to solve this you first have to calculate the radius, which is the distance from the center to any point in the circumference, to calculate this we do a trangle rectangle:

c^2= a^2+b^2

c^2=(0-(-4))^2+(0-(-2)^2

c^2=20

c=\sqrt{20}

So the diameter is two ratios put togheter, so it would be 2r= 2\sqrt{20}

You might be interested in
What is the unit rate $1.79 for 15 oz rounded to nearest tenth
ser-zykov [4K]

Answer:

$0.119... per oz, or 0.1

Step-by-step explanation:

$.179 ÷ 15 = 0.119...

Now round to the nearest tenth, and you get 0.1.

8 0
2 years ago
Please help answer the question! I will mark you as brainlist
Oksi-84 [34.3K]

Answer:

c and d

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Greatest common factor for 27,54,and81
IceJOKER [234]
9
27/9 = 3
54/9 = 6
81/9 = 9
3 0
2 years ago
What is the five-number summary for this data set?
Natali [406]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
I need help with this math today
Genrish500 [490]

Answer:

120 + 10x

or

10(12 + x)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay her own
    10·2 answers
  • A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32 .
    7·2 answers
  • 550/0.11 <br> Do it step by step please
    5·1 answer
  • What is the solution of the equation 6x − 3 = -51?
    10·2 answers
  • The number pi goes on forever with no repeating pattern; therefore, it is rational. A) True or B) False
    11·1 answer
  • NEED HELP ASAP WILL MARK BRAINLIEST
    11·1 answer
  • Which pair ordered x’y is a solution to given system of linear equations 3x+y=1 5x+y=3
    11·1 answer
  • Determine if the following sequence is geometric <br>A) 5,2,-1,-4<br><br><br>B) 5,10,20,40​
    8·1 answer
  • 9. Let p be "an animal is a dog" and let q be "an animal is a golden retriever." Write the conditional statement.
    15·1 answer
  • What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!