Quadrilateral rstu has vertices at r(2,-2), s(4, -3), t(4-6), and u(2, - 7). which of the following statements is true?
a. the diagonals are the same length, which is greater than 5.
b. the diagonals are the same length, which is less than 5.
the length of diagonal rt is greater than that of diagonal us
d. the length of diagonal rt is less than that of diagonal

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

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