For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
Answer:
-303
Step-by-step explanation:
.............
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
.
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :

Comparing both coordinate :
and
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
Answer:
$46.746
Step-by-step explanation:
Allen is buying a video that originally cost = $ 49
Discount coupon = 10%
Sales tax= 6%
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Price of video after discount coupon and sales tax= $ 49 × 0.9× 1.06
price of video after discount coupon and sales tax= $46.746
Hence, the correct answer is $46.746
a. By the fundamental theorem of calculus, the velocity function is

The particle starts at rest, so
, and we have

Then the position function is

with
, so

b. The particle is at rest whenever
; this happens for

where
is any integer.