What is the general form of the equation for the given circle? a. x2 + y2 − 8x − 8y + 23 = 0 b. x2 + y2 − 8x − 8y + 32 = 0 c. x2 + y2 − 4x − 4y + 23 = 0 d. x2 + y2 + 4x + 4y + 9 = 0

The correct option is A

Step-by-step explanation:

Look at the attached picture:

A=(4,7)

B=(7,4)

The standard form of circle equation is:

(x-h)^2 +(y-k)^2 = r^2

Here h and k is the centre which is (4,4)

radius = 7-4 = 3

Now use the formula to find the

(x-h)^2 +(y-k)^2 = r^2

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

If we expand the formula we get:

x^2 - 8x + 16 + y^2 - 8y + 16 = 9

x^2 - 8x + y^2 - 8y + 23 = 0

Thus the correct option is A

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

can someone answer this question plz

step-by-step explanation: