Say its x component has a value of -15, and its y component also has a value of -15. what's the magnitude of this vector? what angle does it make with the positive x-axis?

Magnitude = sqrt ( (-15)^2 + (-15)^2)

=  sqrt  450 =  21.21 to nearest hundredth

Angle it makes with the positive x axis  =  arctan  (-15/-15)

=  180 + 45

= 225 degrees  answer

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.