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Ivanshal [37]
3 years ago
5

Two circles are concentric if they have the same center.

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

9514 1404 393

Answer:

  (b)  (x – 4)^2 + (y – 6)^2 = 16

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the equation for a circle with center (4, 6) and radius 4. That equation is ...

  (x -4)^2 +(y -6)^2 = 16

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3 years ago
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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
Minchanka [31]

The small number is 2.

The large number is 3.

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

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0
3 years ago
Find the distance between the points (0,-1) and (0,–11).
Yakvenalex [24]

Answer:

10

Step-by-step explanation:

The formula  is

the square root of  y1-y2 +x1-x2   (square root of everithing)

(-11)-(-1)    + 0-0

(-11) - (-1) = -11 +1  = -10        0-0 = 0

The quare root of  10 squared is 10

3 0
3 years ago
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V125BC [204]

Answer:

4x_2x=_5_1

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seropon [69]

Answer:

18.84

Step-by-step explanation:

2\pir/2 is the circumference of half a circle. The radius is 6.

2(3.14)(6)/2 = 18.84

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3 years ago
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