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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}

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Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

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At Westside Middle School, 10 percent, or 140 students, participate in soccer. How many students are in the school? Check all th
Alexeev081 [22]

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Step-by-step explanation:

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There is a discount of sale of 20% off of a $450 pair of skis how much is the discount ?
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Read 2 more answers
If 2x + 5y = 21 and x + y = 3, then what is the solution
Viefleur [7K]
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
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8 0
3 years ago
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D
Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

  • 3 shirts from a set of 17.
  • Then, 3 shirts from a set of 20.
  • They are independent, hence, to find the total, we multiply both combinations.

T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0
2 years ago
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