First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.
so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i
6i x 4= 24i
6i x 9i= 54i^2
after you've done this you can move on to putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:
54i^2+51i+12
For this case we have to take into account the following conversions:

Let's first transform the expression to miles per seconds squared:

Then, we transform the result to miles per minute squared.
We have then:
Answer:
the rate in miles/min^2 is:
Answer:
Step-by-step explanation:
11 degrees to radians: 1 degree =57.296 radians
L = (11 degrees)/(57.296) x (11 in) = 2.111848 in
Answer:

Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)

From this last equation, we get that
(3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:

So we also get:

So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form

To do that, we simply rewrite (5) expliciting the various terms, we find:
