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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

2

step-by-step explanation: