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konstantin123 [22]
3 years ago
14

Which of these points lies on the circle with center (2 3) and radius 2

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

(x-2)^2 + (y-3)^2 = 4

Step-by-step explanation:

Use the equation (x-h)^2 + (y-k)^2 = r^2 where the center of the circle is (h,k) and the radius is r.

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Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)
saveliy_v [14]
<h3>Answer:  17</h3>

=========================================================

Work Shown:

a1 = 3 = first term

d = 2 = common difference (since we add 2 to each term to get the next one)

Let's compute the nth term.

an = a1 + (n-1)*d

an = 3 + (n-1)*2

an = 3 + 2n-2

an = 2n+1

-----------------------

To check things so far, we can plug in something like n = 2

an = 2n+1

a2 = 2*2+1

a2 = 5

Showing that the 2nd term is 5, which matches with the sequence given to us

Let's check n = 3

an = 2n+1

a3 = 2*3+1

a3 = 7

That matches as well. I'll let you check the others.

-----------------------

Plug in n = 8 to find the 8th term

an = 2n+1

a8 = 2*8+1

a8 = 17

The eighth term is 17, which is the final answer.

-----------------------

You could extend out the given sequence by adding 2 each time until you reach the 8th term

3,5,7,9,11,13,15,17

Though this method is slow if you need to find say the 38th term

8 0
3 years ago
Read 2 more answers
From a square sheet a 3 cm strap was cut off. The left rectangle has a surface of 70 cm^2. How long was the initial side of the
max2010maxim [7]
Side of square will be 10 cm

5 0
3 years ago
Use properties to find the sum or product<br>8 x 51
Lostsunrise [7]

8(51)

=8(50+1)

=8*50+8*1

=8*5*10+8*1

=400+8

=408

5 0
3 years ago
A plane can fly 7 miles per minute. The plane will fly 8 trips, and each trip is 810 miles. How many hours will the plane fly? S
ELEN [110]

7*60 = 420

 810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93. 

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

If this helps give a brainliest :)

4 0
3 years ago
I NEED HELLLLLLLPPPPPPP? SHOW WORK PLSSSSSS IF WORK IS NOT SHOWN I WILL REPORT YOU! SO WATCH OUT!
Phoenix [80]
Answer is D
(1.5,3)

Explanation:

Substitute

1) 3-2(1.5)=0

So 0=0

2) 3=8(1.5)-9

So 3=3
7 0
3 years ago
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