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jonny [76]
3 years ago
9

What equation represents a circle with a center at (-3, -5) and a radius of 6 units

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

(x+3)^2 + (y +5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle with the formula

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 + (y - -5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 36

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A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms
attashe74 [19]

Answer:

h = \log_{3}{a_h}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

a_{n} = a_{1}r^{n-1}

a₀ = 1, r = 3, and n = h

So,

a_{h} = 3^{h}

h = \log_{3}{a_h}

h = \log_{3}{6561} = 8

6 0
3 years ago
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What is the slope of the line passing through -7,-2 and 4,1
Vladimir [108]
The slope is for that would be 3/11
4 0
4 years ago
The sum of three consecutive integers is 45. What are the integers
Blababa [14]

Divide 45 by 3 ( the quantity of consecutive numbers) This will give you the middle number, then use the number higher and lower.

45/3 = 15

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The 3 numbers are 14, 15 and 16

3 0
4 years ago
AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°​
elena-14-01-66 [18.8K]

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

3 0
3 years ago
[(√4 + 3)2 – 9] / (√9 – 1)3 * 2
Ket [755]

Answer:

\frac{1}{12}

Step-by-step explanation:

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8 0
3 years ago
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