Lisa wants to buy two different games to play this weekend. She has a choice of two stores from which to buy the games. At the first store one of the games is $10 cheaper than the other game. The second store normally sells each game for $2 more than the first store, but has an offer at the moment that the more expensive game is half price when the two games are bought together. Lisa can save $6 in total by shopping at the second store rather than the first. What is the total that Lisa will pay for the games? $14 $14 $16 $16 $18 $18 $20

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4