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mart [117]
3 years ago
13

the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
You can use the distance formula to solve this.

Distance Formula:
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
Solve:
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
d = \sqrt{(-4)^2 + (-6)^2}
d = \sqrt{16 + 36}
d = \sqrt{52}
d = \sqrt{52} = \sqrt{4}\sqrt{13}
d = \sqrt{52} = 2 \sqrt{13}
d = 2 \sqrt{13}
radius = 2 \sqrt{13} = 7.2111


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Use proportion to find the answer.
prisoha [69]

<u>Answer</u>

\boxed {64}


<u>Detailed Explanation </u>

Let's set up a proportion.


\frac{3}{4.8} = \frac{40}{x}


Now that we have set up a proportion we would need to cross multiply.

3*x=3x

40*4.8= 192


Solve for x

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\frac{192}{3} = 64


Therefore, the answer would be 64.


5 0
3 years ago
Which is greatest 3/5, 0.70, or 65%? Tell how you know.
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3 years ago
Using two independent samples, two population means are compared to determine if a difference exists. The population standard de
ANTONII [103]

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are  

compared to determine if a difference exists, the population standard deviation is equal.  

sample size 1 = n_{1}= 15 and sample size 2 = n_{2} = 12  

since, population standard deviations are equal, required degrees of freedom              

= n_{1}  + n_{2} - 2 \\= 15 + 12 - 2\\ = 25  

8 0
2 years ago
Erin and dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought
andrezito [222]

Answer:

2

Step-by-step explanation:

I  think below is your full question:

<em>Erin and Dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought the same number of shirts as Erin for $16 each and spent $10 on accessories. </em>

<em>If Erin and Dan were billed the same amount by the store, how many shirts did each of them buy?</em>

Here is my answer

Let  x is number of shirts

Person             COST              

ERIN                12x+18

DAN                 16x+10

Equally Billed    12x+18=16x+10 <=> x = 2

so each of them buy 2 shirts

7 0
3 years ago
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