Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
Answer:
$4
Step-by-step explanation:
Given that
total cost of 8 identical pens and 2 identical files is $32
And, the The total cost of 3 such files would be the same as the total cost of 4 such pens
We need to find out the cost of each file
So let us assume the following things
Pens be x
File be y
Now
8x + 2y = $32 ....(1)
3y = 4x.........(2)
y = 4x÷ 3
Now put the value of y in equation 1
8x + 1.33x = 32
x = $3.55
x = $4
I am pretty sure it's a trick question because none of them are irrational
Answer:
$13.72
Step-by-step explanation:
if a bag of popcorn is represented by b
3b = $5.88
b = $5.88 / 3 = $1.96
7b = $1.96 * 7 = $13.72