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Yakvenalex [24]
2 years ago
9

Which equation represents a circle centered at (3,5) and passing though the point (-2,9)

Mathematics
1 answer:
Maru [420]2 years ago
7 0

The equation represents a circle centered at (3,5) and passing through the point (-2,9) will be,\rm x^2+y^2 -6x-10y-7=0

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given data;

The Centre of the circle is,(h,k)=(3,5)

The circle traverses (-2,9). Consequently, the radius of the circle r is equal to the separation between (3, 4) and (-2,1).

So radius;

r = \sqrt{{{(x_2-x_1)^2 + (y_2-y_1)^2}}

r = \sqrt{{(9-5)^2+(3+2)^2 }

r=\sqrt {41} \\\\ r =6.1 \ units

Now equation of the circle with center (h,k) and radius r is

\rm (x-h)^2 + (y-k)^2 = r^2\\\\ (x-3)^2 + (y-5)^2 = (\sqrt{41})^2\\\\ x^2 - 6x + 9 + y^2 - 10y + 25 = 41

x^2+y^2 -6x-10y-7=0

Hence equation represents a circle that will be,x^2+y^2 -6x-10y-7=0

To learn more about the circle, refer to the link: brainly.com/question/11833983.

#SPJ1

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alexira [117]
Answer; c^2 = a^2 + b^2

c = 17 inches

a = 8 inches

b^2 = c^2 – a^2

b^2 = 17^2 – 8^2

b^2 = 289 – 64

b^2 = 225

b = square root of 225

b = 15 inches ≈ c.

5 0
3 years ago
Cost of a CD: $17.50<br> Markup: 45%
Marizza181 [45]

Answer:

25.375

Step-by-step explanation:

17.50×45%=7.875

17.50+7.875=25.375 new price

8 0
2 years ago
To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77
kozerog [31]
Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide

We need to find the equivalent value in feet of the purchased bookshelf.

1 foot is equal to 12 inches

77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft

Or we can convert the feet into inches:

6 1/2 feet convert to improper fraction.

((6*2)+1)/2 = 13/2 feet

13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches

Compare the maximum width of 78 inches to the actual width of 77 inches. 

The purchased bookshelf can fit between two windows.  
6 0
3 years ago
Yats of fle har earh par<br> O2 yr<br> 03 ya<br> 04yads<br> 111
Marianna [84]

Answer:huh?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i
Anarel [89]

Answer:

  1. P(≥1 working) = 0.9936
  2. She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

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3 years ago
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