Determine whether each statement is true or false:
a. for all real numbers x, there exists a real number y such that ? ? ? 5 ? ? ? 1 = 0 is true.
b. there exists a real number x, such that for all real numbers y, ? ? ? 5 ? ? ? 1 = 0 is true.
13. determine whether each statement is true or false:
a. ? ? ? ? ? ? = ? ? + 1.
b. ? ? ? b ? ? ? b, ? ? ? b ? ? = ? ? ?

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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