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Alekssandra [29.7K]
2 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]2 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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kicyunya [14]

The equation of the line that passes through the points (2,1) and (5,-8) is

y = -3x + 7

6 0
2 years ago
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]

Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

Similarly

\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2

\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

3 0
3 years ago
Evaluate: 54-75+81-(-27)+53
romanna [79]

Hi the answer is 344

4 0
3 years ago
Read 2 more answers
How many time 2/3 can go into 16<br><br> Explanation pls!!
tensa zangetsu [6.8K]

Answer:

24 times

Step-by-step explanation:

16 divided by 2/3 is 24

hope this helped!

7 0
1 year ago
a student reads at a rate of 16 pages per day which ordered pair would be on a graph of its relationship
mojhsa [17]
I found the choices that should have been included in this problem.
a) (1.5,26)
b) (2.25,30)
c) (5.5,88)
d) (7.25,110)

y = 16x
choice a. y = 16(1.5) = 24
choice b. y = 16(2.25) = 36
choice c. y = 16(5.5) = 88
choice d. y = 16(7.25) = 116

The correct answer is choice c. (5.5, 88)
8 0
3 years ago
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