1.The sum of three consecutive numbers minus 12 is 75 2. The Sum of two consecutive odd numbers plus eighteen is 170

The answer is

One:   28, 29, 30

Two: 75,77

Step-by-step explanation:

One

Let the three numbers be (x - 1) , x , and x + 1

(x - 1) + x + (x +1 ) - 12 =  75                Remove the brackets

x - 1 + x + x + 1 - 12 = 75                    Combine the like terms on the left

3x - 12 = 75                                       Add 12 to both sides

3x = 75 + 12

3x = 87                                              Divide by 3

x = 87/3

x = 29

Two

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77

the answer is the third / last answer

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.