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Ratling [72]
3 years ago
8

Which is the center of a circle whose equation is x2+y2+4x-8y+11=0?

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

Center (-2 , 4)

Step-by-step explanation:

x^2 + 4x + y^2 - 8y = - 11

(x^2 + 4x + (4/2)^2 + (y^2 - 8y + (8/2)^2 ) = - 11 + 4 + 16

(x + 2)^2 + (y -  4)^2 = 9

Center (-2,  4)

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Which of the following is the missing term of the geometric sequence in which a1= 2 and a3 = 200?
stellarik [79]
A2 = 20.
The formula is a(n+1) = 10a(n)
5 0
3 years ago
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Write an equation for each context. Draw a model first if necessary, and make sure you define your variable and what it represen
Bad White [126]

Answer:

(a)$2248.8

(b) 14, 28, 16 and 7 candies

(c) $79

Step-by-step explanation:

(a) the model can be represented by the nth term of an arithmetic progression

L = a + (n-1)d

L= the amount in his account after 6 month; $12484

a= the amount in his account six month before; $1240

n = 6, being the sixth month of his deposit

d = the amount deposited monthly

12484 = 1240 + 5d:

12484-1240 = 5d

5d= 11244

d = 2248.8

(b) let the 1st box contain = x

2nd = 2x; 3rd = x + 2, 4th = 1/4(2x)

Hence; x + 2x + x +2 + 1/4(2x) = 65

4x + x/2 = 65-2

9x/2 = 63 ; 9x = 126. ; x = 14

(c) Each player gets a racket (r) and a can (c) of balls

The 5 players get in all 5 racket + 5 cans since Simon is a member

Therefore, 5r + 5c = 415

But each can cost $4,

5r + 5* 4 = 415; 6r = 415-20

5r = 395 ; r = 395/5

r = $ 79

The racket cost $79 each.

8 0
3 years ago
a jigsaw puzzle has edge pieces and inside pieces. the ratio 3:22. there are 924 inside pieces. calculate the total number of pi
statuscvo [17]
Okay. So, 924 pieces are inside. Let’s divide to see how many times 22 goes into 924. 924/22 = 42. So now, multiply 3 by 42 to do the same thing the opposite way. The product is 126. There are 126 edge pieces in the puzzle. You can do 126/924 to get the fraction in simplest form to be 3/22. To find the total number of pieces, add both numbers up. The sum of the two numbers is 1,050. There are 1,050 total pieces in the puzzle.
4 0
3 years ago
What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume ther
astra-53 [7]

The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).

based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.

the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.

The ball would not change the energy.

To learn more about kinetic energy

visit-:brainly.com/question/12669551

SPJ9

3 0
1 year ago
A Student said the volume of a cylinder with a 3-inch diameter is two times the volume of a cylinder with the same height and a
AnnZ [28]
They would be the same because the formula is volume equals pi radius squared times height. So you would use the radius of 1.5 instead of the diameter of 3
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3 years ago
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