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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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Find a solution to the equation 4(x + 7) = 38
yKpoI14uk [10]

Answer:

4(x+7)=38

4x+28=38

4x=38-28

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3 years ago
How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
Nonamiya [84]

Answer:

Let y represents the ounces of first spice.

From the given statements, we draw a table as shown below:

                          ounces of spice        Percentage          ounces of salt

First spice                 y                              3%                            0.03x

Second spice           175                            6%                          175(0.06)

Final  mixture          y + 175                         5%                        (x+15)(0.05)

Now, to solve for y

we have;

Final spice = First spice + second spice

0.03y + 175(0.06) = (y+175)(0.05)

0.03y+ 10.5= 0.05y+ 8.75

Subtract 10.5 on both sides we have;

0.03y+ 10.5 -10.5= 0.05y+ 8.75 -10.5

Simplify:

0.03y = 0.05y -1.75

Subtract 0.05y on both sides

0.03y -0.05y= 0.05y -1.75-0.05y

Simplify:

-0.02y = -1.75

Divide both sides by -0.02, we get;

y = \frac{-1.75}{-0.02} = 87.5

Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt


5 0
3 years ago
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