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Stolb23 [73]
3 years ago
9

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81?S(-2, 12)

Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

S(-2, 12) lies on the circle

Step-by-step explanation:

Given : Equation of circle : (x + 2)^2 + (y - 3)^2 = 81

           Point: S(-2, 12)

To Find: Is the given point interior, exterior, or on the circle

Solution :

After substituting the values,

If L.H.S of the given equation is less than R.H.S , So, the given point is interior.

If L.H.S of the given equation is greater than R.H.S , So, the given point is exterior.

If L.H.S =R.H.S , So, the given point is on the circle.

(-2 + 2)^2 + (12 - 3)^2 = 81

(0)^2 + (9)^2 = 81

81 = 81

Thus  L.H.S =R.H.S

Hence the given point S(-2, 12) lies on the circle (x + 2)^2 + (y - 3)^2 = 81

Georgia [21]3 years ago
3 0
(x + 2)² + (y - 3)²<span> = 81
x=-2, y=12

(-2 + 2)</span>² + (12-3)² = 81
0² + 9² = 81
81 = 81

The given point S(-2, 12) is <span>on the circle</span>
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The same principles apply to the wall as it is also assumed to be rectangular.

Given:
Area = <span>x^2 + 17x + 30 ft^2
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To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:

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