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Yakvenalex [24]
2 years ago
12

Write an equation of the circle given its center and radius

Mathematics
2 answers:
erastovalidia [21]2 years ago
8 0
<h3><u>Answer:</u></h3>

y = x²- 4x + 3 + y²

<h3><u>Step-by-step explanation:</u></h3>

The equation of a circle is given by the formula

(x-a)²+(x-b)² = r²

Where;  (a, b) is the center of the circle and r is the radius

Center (2,0) and radius = 1.

Therefore:

(x-2)² +(y+0) = 1²

x²- 4x + 4 + y² =  1

x²- 4x + 3 + y² =  0

Therefore; The equation of the circle is y = x²- 4x + 3 + y²

LenaWriter [7]2 years ago
6 0

Answer:

(x-2)²+ y² = 1 is the equation of given  circle.

Step-by-step explanation:

We have given the center (2,0) and radius  r = 1 of a circle.

We have to find the equation of circle.

As we know the equation of circle is :

(x - x₁)² +(y - y₁)² = r²    

Where (x₁,y₁) is the center of circle, and r is the radius of the circle.

Putting the value in above equation we get,

(x-2)²+(y-0)² = 1²

(x-2)²+ y² = 1 is the equation of given  circle.

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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different
Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

<u>               6          </u>* <u>        5             </u> * <u>            4           </u>* <u>          3             </u>= 360

       1st flavor           2nd flavor              topping              cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0
2 years ago
Carter and his cousin are playing a game where they pick up colored sticks. Carter currently has 24 points
Fudgin [204]
The answer is 15 because I checked it with Socratic
5 0
3 years ago
What is the answer of 12x - 6 = 54
Bogdan [553]

Answer:

x = 5

Step-by-step explanation:

12x - 6 + 6 = 54 + 6

12x = 60

12/12 = 60/12

X = 5

7 0
1 year ago
Read 2 more answers
The histogram shows the speeds of downhill skiers during a competition. Estimate the mean of the data set displayed in the histo
Ostrovityanka [42]

Answer:

≈50.6

Step-by-step explanation:

Not sure what precision level this problem is looking for, but for right-skewed distributions, we know that the mean is going to be pulled right and therefore the mean should be larger than the median. To a high confidence level, the mean should fall between 50 and 59, or in the third column.

If a single estimation is wanted, assume the values inside each column are uniformly distributed:

\displaystyle\\\widehat{\mu}=\frac{34.5\cdot 4+...+74.5\cdot 2}{4+9+4+4+2}\approx \boxed{50.6}

8 0
2 years ago
Josh sold 465 bottles of apple cider and 605 bottles of wine. He made $10,050 altogether. If he sold 465 bottles of apple cider
Anon25 [30]

Answer:

465a + 605w = $10050

465a + 586w = 9822

465a + 605w = 10050

-465a - 586w = -9822

19w = 228

w= $12 each for wine

465a + 605(12)= 10050

465a + 7260= 10050

465a = 2790

a =$6 each apple cider

4 0
3 years ago
Read 2 more answers
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