Answer:
(x + 9, y - 12 )
Step-by-step explanation:
Given
A(7, 3 ) → A'(16, - 9 )
The change in x is 16 - 7 = 9, the change in y is - -9 - 3 = - 12
Thus the translation rule is
(x, y ) → (x + 9, y - 12 )
1) If the hats cost $12.50 each and the materials cost $5.50, then the fashion designer makes ($12.50 - $5.50 =) $7 per hat. So, to work out how many hats you must make, you need to divide how much you spend on advertising by how much you make per hat so, $1,400 ÷ $7 = 200 hats.
$12.50 - $5.50 = $7
$1,400 ÷ $7 = 200 hats
and your variable and equation is:
y = number of hats needed to sell
advertising = earnings of 1 hat x number of hats
1,400 = 7y
1,400÷7 = y
200 = y
∴ The fashion designer must make and sell 200 hats to break even and get back her $1,400 spent on advertising.
2) So, you do the same on this one as well. If he makes $2 per book, and binding and packaging cost $0.80, then you need to $2 - $0.80 to find how much each book will make you, the answer is $1.20 per book. Then you need to $864 ÷ $1.20 which equals 720 books.
$2 - $0.80 = $1.20
$864 ÷ $1.20 = 720 books.
and your variable and equation would be:
y = unknown number of books needed to sell
initial costs = earnings of 1 book x number of books
864 = 1.20y
864 ÷ 1.20 = y
720 = y
∴ The puzzle expert must sell 720 books to break even and earn back his initial costs of $864.
** I hope that's what you meant (putting it in an algebraic equation) and I hope is correct **
Answer:
Do you have a image of the fountains, send it to me.and I'll help
Force = mass x acceleration (F=ma)
When the parachutist reaches terminal velocity they are moving at a constant speed and no longer accelerating so acceleration (a) would be 0
so F would also be 0 since anything multiplied by 0 = 0
this would also mean that Fdrag must exactly balance Fg
so Fdrag would = -Fg, so Fdrag would be -850 N