What is the image of (-1,-4) after a reflection over the line y=-x

When a point is reflected, it must be reflected over a line.

The image of (-1,-4) after a reflection over the line y=-x is (4,1).

The point is given as:

The rule of reflection over line y = -x is:

So, we have:

Hence, the image of (-1,-4) is (4,1).

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Step-by-step explanation:

The point is (-1,-4)

It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )

So, when it is reflected over y = -x , it becomes (4,1)

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.