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Mandarinka [93]
3 years ago
8

The circle below is centered at the point (4,1) and has a radius of length 2.

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Option C: (x-4)^2+(y-1)^2 = 4 is the right answer

Step-by-step explanation:

Given

Center = (h,k) = (4,1)

Radius = r = 2

The equation of circle in standard form is:

(x-h)^2+(y-k)^2 = r^2

Putting the values of h, k and r

(x-4)^2+(y-1)^2 = (2)^2\\(x-4)^2+(y-1)^2 = 4

Hence,

Option C: (x-4)^2+(y-1)^2 = 4 is the right answer

Keywords: Equation of circle

Learn more about circle at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

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While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She h
alex41 [277]

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

         

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

4 0
2 years ago
What is pi minus pi plus pi divided by pi x 25.9. WILL MARK BRAINLIEST
mestny [16]

Answer:

25.9

Step-by-step explanation:

25.9

pi-pi+pi/pi is 0+(1*25.9) which is 25.9

Hope this helps :D

8 0
3 years ago
Read 2 more answers
Solve by completing the square<br><br> x^2-6x-16=0
Greeley [361]

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2><em>Completing The Square</em><em>:</em></h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

<em><u>x = 8 or x = -2</u></em>

Hope it's helpful

7 0
3 years ago
Read 2 more answers
For every 1% increase in
givi [52]

Answer:

The GDP gap is 9 % when there is 4.5 % unemployment.

Step-by-step explanation:

The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:

r = \frac{2\,\% \,GDP}{1\,\% unemp.}

The GDP gap at a given increase in unemployment can be estimated by the following expression:

\frac{g}{u} = r

g = r\cdot u

Where:

r - GDP gap-unemployment increase rate, dimensionless.

u - Increase in unemployment rate, measured in percentage.

g - GDP gap, measured in percentage.

If r = \frac{2\,\% \,GDP}{1\,\% unemp.} and u = 4.5\,\%\,unemp., the GDP gap is:

g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)

g = 9\,\%\,GDP

The GDP gap is 9 % when there is 4.5 % unemployment.

3 0
3 years ago
What is the slope of y=17x+43
goldenfox [79]
The would slope would equal 17
5 0
3 years ago
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