This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to
. We have to combine like terms here to shorten that a bit.
. i^2 is equal to -1, and -1(64) = -64. Now we have
. That is
. Now let's FOIL in another factorization.
. That comes out to
. One more term to go!
. That, finally, is
.
10ft by 12ft = 120
12ft by 12 ft = 144
144-120 = 24 sq ft
You need 24 square feet.
Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
<h3>What is the height considering no air resistance?</h3>
The height in feet that a person has fallen after t seconds is given by:
d = 16t².
In this problem, we want the time for a fall of 180 feet, hence.
t = 3.35
The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
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Answer:
rounding 1,874,255 to the nearest 0.000001
A financial institution formed by a large corporation for their employees or members is a credit union.