Answer:
- y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
- y = (x - 4)(x^2 + 4)(x^2 - 3) Possible answer
Step-by-step explanation:
The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i
√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3
So the answer must be
(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) <<< Possible answer
but this can be reduced even further.
- (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
- (x + 2i)(x - 2i) = x^2 - 4(i)^2
- (x + 2i)(x - 2i) = x^2 + 4. Remember i^2 = - 1
By a similar method (x - √3)(x + √3) = x^2 - 3
So the polynomial is reduced to
(x - 4)(x^2 + 4)(x^2 - 3) <<<< Answer
If this is not among your answers and the factored form is not either, please tell me what is.
Answer:
y=40
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).
10² = a² + 5²
100 = a² + 25
75 = a²
a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)
Answer:
A. The function is always decreasing
Step-by-step explanation:
we read a graph from left to right, so we can always compare the increase/decrease of a function by seeing how an x value compares with an x value to the left
(I am aware that this paragraph is really confusing)
we can see that as x increases, from -∞ to 0,
y decreases in correspondence
and that as x increases, from 0 to ∞,
y decreases in correspondence also
So, even though the graph doesn't quite look like it, when x < 0; the function decreases, when x > 0; function decreases--so the function is always decreasing
hope this helps!! have a lovely day :)
Answer:
B, 224in2
It may get tedious but just find the area of each face and write them down
Step-by-step explanation:
