Answer: (1,5) (...midpoint..., ...negative reciprocal...)
Step-by-step explanation:
What is the line of reflection? It is the line across which the point is reflected. By definition of reflection, the distance of the preimage and the image from this line are the same. Since the distances are the same, they meet exactly halfway from each other. This means if you find the midpoint of the preimage and image you find a point on the line of reflection. But one point is not enough. Slope or another point is necessary. Slope is a lot easier to get.
Think about it. The line of reflection will always be perpendicular to the line connecting the preimage and image. Therefore its [line of reflection] slope will be the negative reciprocal of the slope of the preimage and image. Now you have slope and a point and thus a defined line of reflection
Hope this is helpful :)
Answer:
6. (2,1) 7. (2,2)
Step-by-step explanation:
Number 6, Since it is a dilation of .5 you divide the x and y coordinate by 2 to get (2,1). X - 4/2=2, Y - 2/2=1
Number 7, Since it's rotating 90 degrees counterclockwise you switch the x and y coordinates. So from (x,y) to (y,x) and also when going counterclockwise you have to make the y coordinate becomes negative, so the counterclockwise equation is (-y,x) plug in your numbers and you get (2,2) as your 90 degree counterclockwise rotated coordinates.
Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.
<h3>What is an
invertible function?</h3>
An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:
f⁻¹(f(6.022)) = 6.022.
From the table, we have:
f⁻¹(-10) = -6
f(-6) = -10
Therefore, f⁻¹(-10) + f(-6) is given by:
f⁻¹(-10) + f(-6) = -6 - 10
f⁻¹(-10) + f(-6) = -16.
Read more on invertible function here: brainly.com/question/15635761
#SPJ1
Answer:
If you look at $10 we are at 10 animals, but if you look at $100, we are at about 55 animals. Divide the two to find your average. That will give you the answer.