Someone please help middle school math

x ≥ -59 or x  ≤-43

Step-by-step explanation:

|x+51|≥8

We know eitherx+51≥8orx+51≤−8

x+51≥8(Possibility 1)

x+51−51≥8−51(Subtract 51 from both sides)

x≥−43

x+51≤−8(Possibility 2)

x+51−51≤−8−51(Subtract 51 from both sides)

x≤−59

x≥−43 or x≤−59

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