For an entire grading period at school, James played video games for 70 minutes a day, and has a GPA of 2.3. For the next grading period his parents said he was not allowed more than 45 minutes of video games each day and his GPA increased to 3.58. Which statement about this situation is true?

A) The number of minutes playing video games varies inversely with GPA with a constant of variation k = 30.4.

B) The number of minutes playing video games varies inversely with GPA with a constant of variation k = 161.

C) The number of minutes playing video games varies directly with GPA with a constant of variation k = 161.

D) The number of minutes playing video games varies directly with GPA with a constant of variation k = 30.4.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

its an acute right triangle

step-by-step explanation:

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