Which of the relations given by the following sets of ordered pairs is a function? {(1,2), ( – 4,8), ( – 3,5), (1, - 2), (7, 12)} {(5, 4), (4,3), (3, 2), (4, 5), (2, 1)}
{(6, 1), ( – 3, 1), (3,5), (2, 4), (- 1, 2)}
{(5, 4), (5, 6), (5,8), (5, 10), (5, 12)}

529 and 531

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)