What is the length (magnitude) of vector (-4,2)
1 answer:
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9514 1404 393
Answer:
x^2/1024 -y^2/7744 = 1
Step-by-step explanation:
The parent hyperbola relation is ...
x^2 -y^2 = 1
This has asymptotes of y = ±x and x-intercepts of ±1.
For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...
(x/32)^2 -(y/88)^2 = 1
More conventionally, the denominator is shown at full value:
x^2/1024 -y^2/7744 = 1
One sub costs $4.5 and one cookie costs $0.75 or 75 cents
Step-by-step explanation:
Let s be the cost of one sub
and
c be the cost of one cookie
Then according to given statements
"The cost of 3 subs and 7 cookies is $18.75"
"Five subs and 21 cookies cost $38.25"
Multiplying eqn 1 by 3
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 4
Putting s=4.5 in Eqn 1
Dividing both sides by 7
So,
One sub costs $4.5 and one cookie costs $0.75 or 75 cents
Keywords: Linear Equations, Variables
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