The point (-4,1) is totated 180 degrees counterclockwise using center (0,0). what are the coordinates of the image?

Coordinates of the image are (4 , -1)

Explanation:

The rule for 180° rotation counterclockwise is:

(x , y) ⇒ (-x , -y)

This means that to get the coordinates of a point rotated 180° counterclockwise, all you have to do is flip the signs of both the x and the y

Now, we are given the point (-4 , 1)

Applying the above rule:

Hope this helps :)

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.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: