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KengaRu [80]
2 years ago
5

What is the center of a circle represented by the equation (x+9)^2+(y-6)^2=10

Mathematics
2 answers:
IRINA_888 [86]2 years ago
6 0

Answer:

(-9,6)

Step-by-step explanation:

elena55 [62]2 years ago
6 0

Answer:

(- 9, 6)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 10 ← is in standard form

with (h, k) = (- 9, 6) ← coordinates of centre

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Find the sum of the series 9+3+1+........+1/27​
Elina [12.6K]

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

4 0
3 years ago
Somebody please help me on this?! What is the correct postulate or theorem for this one..
IRINA_888 [86]

Answer:

Segment Addition Postulate

Step-by-step explanation:

In geometry, the Segment Addition Postulate states that given 2 points A and C(in this case S and O), a third point B(in this case R) lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Meaning for R to lie on the line SO;

SR + RO must be equal to SO

7 0
3 years ago
Just number 3, i dont rly need an explanation
elena-s [515]

Answer:

L=(-2,4)

Step-by-step explanation:

I just had this homework over the weekend. And there are the rest of the answers too

8 0
2 years ago
Read 2 more answers
In the supply-and-demand schedule shown above, the equilibrium price for portable music players is _____.
ad-work [718]
$150 because the supply number is equivalent to the demand number
6 0
3 years ago
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Factor -1/4 out of -1/2x -5/4y. (i will mark brainlyest)
mash [69]

Answer:

-1/4 (2x - 5y)

Step-by-step explanation:

For us to factor -1/4 out of -1/2x -5/4y

We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown

-1/2x - 5/4 y

= -1/4 (-4(-1/2x) - (-4)(-5/4y))

= -1/4 (4/2 x - 20/4 y)

= -1/4 (2x - 5y)

Hence the factored expression is -1/4 (2x - 5y)

5 0
2 years ago
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