Adam wants to buy a video game system that costs $100.00. he has $28.35 in one piggy bank and $31.90 in another piggy bank. how much more money does adam need before he can buy the video game system?

how can estimation be used to make sure the answer is reasonable?

a.
adam needs $160.25 more.
estimation: $28 + $32 = $60.
$100 + $60 = $160.
adam needs about $160 more to buy his video game system.

b.
adam needs $39.75 more.
estimation: $28 + $32 = $60.
$100 – $60 = $40.
adam needs about $40 more to buy his video game system.

c.
adam needs $30.13 more.
estimation: $28 + $32 = $60.
$60 ÷ 2 = $30.
adam needs about $30 more to buy his video game system.

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

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

happy to

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