Which of the following is most likely the next step in the series? a4a, b8b, c12c, d16d, . . a. e20e b. e24e c. e24e d. e20e

it is E20e not e20E

so the answer is A

 The correct option is (A) E20e.

Step-by-step explanation:  We are to find the most likely next step in the following series:

A4a,  b8B,  C12c,  d16D,   .   .   ..

The first letters are A, b, C, d,  .  .  .. So, the next letter in this series will be E.

The second numbers are 4, 8, 12, 16,  .  .  ..

That is, 4 × 1, 4 × 2, 4 × 3, 4 × 4, .  .  . . So, the next number in this series will be 4 × 5 = 20.

The third terms are a, B, c, D,  .  .  .. So, the next letter in this series will be e.

Thus, the next step in the given series is

E20e.

Option (A) is CORRECT.

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.

x=0

step-by-step explanation: