A unit vector in the direction of a would be the vector a multiplied by a factor such that the length of vector a is unity.
The magnitude of a is given by:
|a|
=sqrt(4^2+3^2+2^2) [ I got lazy instead of writing (-4)^2+(-3)^2+2^2]
=sqrt(29).
So the univector is a/sqrt(29), or (-4/sqrt(29),-3/sqrt(29), 2/sqrt(29), or simply (-4,-3,2)/sqrt(29).
Answer:
No
Step-by-step explanation:
This is not a function because more than one point shares more than one point.
Answer:
their current cash flow is negative since their expenses are higher than their income:
- monthly net income = $56,000 / 12 = $4,667
- monthly expenses = $1,500 + $3,500 = $5,000
- monthly cash flow = ($333)
they have 3 options:
- Option 1 (which I personally dislike) is that Neil contributes $4,000 less per year to his retirement account in order to balance their net income and expenses. The problem is that once he retires, his income will be much lower.
- Option 2 is that they lower their expenses a little bit, only enough to balance their cash flows.
- Option 3 is that Nancy gets a part time job, maybe a couple of hours per day which will allow her to earn money that can be used to cover some expenses.
Personally I believe that option 2 is the best, but if they definitely cannot lower their monthly expenses, then option 3 would probably fit them.
Answer:
x^2/33 + y^2/26 = 1
Step-by-step explanation:
The formula for a hyperbola centered at the origin is:
x^2/a^2 - y^2/b^2 = 1
The vertices are located at (±a, 0), so we have that the value of a is √33
The foci are located at (±c, 0), where c^2 = a^2 + b^2
So if we have that c = √59, we can find the value of b:
59 = 33 + b^2
b^2 = 26
b = √26
So the formula for this hyperbole is:
x^2/33 + y^2/26 = 1
