Explanation:
Point A(-3,1) moves to A ' (1,1). The line through these two points is y = 1.
Point C(-3,3) moves to C ' (1, -1). The line through these two points is y = -x
These two lines intersect at point B(-1,1) which is the invariant point, aka fixed point. It is the center of rotation.
Notice how points A, B and A' are collinear (i.e. they are on the same line). The same can be said about points C, B and C'.
Because of these two sets of collinear points, it means we have a 180 degree rotation going on.
Check out the diagram below.
Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
The probability of not surviving a head-on car accident is: 0.903
Step-by-step explanation:
The probabilities of occurrence and non-occurrence of an event add up to one.
If p is the probability that an even will happen and q is the probability that it will not happen
Then
Here,
Probability of surviving = p = 0.097
Probability of not surviving = q = ?
The probability of not surviving a head-on car accident is: 0.903
Keywords: Probability, Inverse
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