Hi :)
10, 100 Afghani Afghani (currency name) is $1212 USD with the conversion you provided. Today it's like $117.41.
X=5, y=-4
(5,-4)
do you need the work?
Answer:
$ 929
Step-by-step explanation:
Given: Original price of stay in hotel= $240 per night
Discount= 25%
Total taxes and fee = 29%
Now, finding the price of stay for four night.
Using unitary method to solve:
As we know original price of hotel stay per night is $240
∴ Price of four night stay at original price is 
Next, 25% discount given on the price of four night stay.
∴ 
= 
∴Price of four night hotel stay after discount is
Now, 29% taxes and fees been added to the price.
Price of hotel stay after discount + Taxes paid.
= 
∴ is the price to be paid for four night stay at hotel after discount and taxes.
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
