Write the equation a circle for which the endpoints of a diameter are (-2,-2) and (4,-10)

(x - 1)^2 + (y + 4)^2 = 5^2

Step-by-step explanation:

Find the length of the diameter and then halve the result to find the radius.  

Finding the diameter involves using the Pythagorean Theorem:

6^2 + 8^2 = 36 + 64 = 100, and so the diameter is √100, or 10.  Thus, the radius is half that, or 5.  

Next we find the coordinates of the center, (h, k).  Using the midpoint formula is a fast way in which to do that:

                      -2 + 4                                            2 - 10

xmidpoint = = 1,   and   ymidpoint = = -4

                           2                                                   2

Then the center of the circle is (1, -4) and the radius is 5.

Using the standard equation of a circle centered at (h, k) and with radius 5,

(x - h)^2 + (y - k)^2 = r^2  becomes

(x - 1)^2 + (y + 4)^2 = 5^2

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5