Answer:
(B) cot Theta
Step-by-step explanation:
We want to simplify the expression:
Now:
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
-5/12k -11/36m
Step-by-step explanation:
Answer:
8 seconds
Step-by-step explanation:
lets first start by plugging in 1024 into initial height
h(t) = -16t^2 + 1024
I would find a Greatest Common Factor (GCF) first
-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation
But now we notice that T squared -64 can be factored with the difference of perfect squared method
so we will get -16(t-8)(t+8)
So to get the answers we will set everything equal to 0
-16t =0
t =0 this is the time that the penny was thrown
t-8 = 0
t = 8 the is the time the penny hit the ground
t+8 =0
t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.
