Answer:
where i^2 = -1 (minus one)
So, i^2 = -1
i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1
like ;
i^32 = (i^2)^16 = (-1)^16 = -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X
= 1
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Required
Determine the equation for the model
Represent the number of hours with h and the miles with m.
Using distance formula:

In this case, it is:

So, we have:


Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - 6x + 8 and g(x) = x + 2
To solve f(x) = g(x), equate the right sides, that is
x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides
x² - 7x + 6 = 0 ← in standard form
(x - 1)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 6 = 0 ⇒ x = 6
These solutions can be verified from the tables, that is
f(x) = g(x) = 3 ← when x = 1
f(x) = g(x) = 8 ← when x = 6
Answer:
-5x^2-32x+13
Step-by-step explanation:
(3-13x-7x)-(5x^2+12x-10)
3-20x-5x^2-12x+10
-5x^2-32x+13
Answer:

Step-by-step explanation:
The formula of a volume of a cylinder:

We have r = 4 and h = 8:

