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Alekssandra [29.7K]
3 years ago
12

The equation for a circle is (x-2)2+(y+3)2=9, what is the center of the circle?​

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

(2, -3)

Step-by-step explanation:

Compare the given  (x-2)2+(y+3)2=9 to the standard equation

                                 (x - h)^2 + (y - k)^2 = r^2.

It becomes obvious that h = 2, k = -3 and r = 3.

The center of this circle is (h, k):  (2, -3).

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What us the length of the altitude of the equilateral triangle below
ladessa [460]

Answer:

Height ( h) = 12 units.

Step-by-step explanation:

Given  : An equilateral triangle with side = 8 √3.

To find : What us the length of the altitude of the equilateral triangle .

Solution : We have given equilateral triangle with side = 8 √3.

By taking the half triangle,

By the Pythagorean theorem :

(Hypotenuse)² = ( adjacent)² + (opposite)².

Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.

(8√3)² = ( 4√3)² + (h)².

192 = 48 +  (h)².

On subtracting by 48 both sides.

192 -48 =  (h)².

144 =  (h)².

On taking square root .

h = 12 .

Therefore, Height ( h) = 12 units.

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3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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cupoosta [38]
5.8
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5 0
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(25 Points) The measure of b is ______?
Eva8 [605]

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

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Subtract 400 from each side

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Take the square root of each side

sqrt(b^2) = sqrt(441)

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3 years ago
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