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meriva
3 years ago
6

The circle below is centered at the point (4,3) and has a radius length 5. What is its equation

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0
Well, equation of circle is (X-X1)^2 + (Y-Y1)^2 = R^2

so, (X-4)^2 + (Y-3)^2 = 25

X^2 + 16 -8X + Y^2 + 9 - 6Y = 25

X^2 + Y^2  - 8X - 6Y = 0

hope it helped :)
Crazy boy [7]3 years ago
3 0
The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!
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7 0
3 years ago
Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. How many toothpicks does she need to add to complete
malfutka [58]
You would take 1818÷33=55.09

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5 0
3 years ago
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-| x-4| + 2 = -2x + 7
astraxan [27]

X=3

Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

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Step 1: Add -2 to both sides.

−

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−

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−

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x

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4

|

=

−

2

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Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

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x

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−

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x

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x

−

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−

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x

−

4

+

4

=

−

5

+

4

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−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

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x

−

4

=

−

2

x

+

5

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x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

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3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0
3 years ago
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Anvisha [2.4K]

Answer:

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4 0
2 years ago
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Illusion [34]

Answer:

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(1*1/12)    ÷  1/6     =1/12*6  =  1/2 minute

6 0
3 years ago
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