Iris is making hats for the members of the school marching band. She can make 3 hats in 1 1/2 hours. She wants to know how many
1 answer:
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Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
The correct option is;
Jason's statement is correct. RST is the same orientation, shape, and size as ABC
Step-by-step explanation:
Here we have
ABC = (2, 1), (3, 3), (4, 1)
RST = (-4, -2), (-3, 0), (-2, -2)
Therefore the length of the sides are as follows
AB =
AC =
BC =
For triangle SRT we have
RS =
RT =
ST =
Therefore their dimensions are equal
However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST
That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.
