Write 3.242424... as a mixed number
1 answer:
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If a polynomial is divisible by 
, then 
is a root of this polynomial.
Here (x-a) is equal to x+2:
So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:
Here (x-a) is equal to x+2:
So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:
Answer:
P'(-3, -8), Q'(-6, 4), R'(1, -1)
Step-by-step explanation:
When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign: it becomes (x, -y).
Thus, if a point P, say, (-3, 8) is eightn units above the x-axis, its reflection P' will be the same distance below, at (-3, -8).
Thus, we get the following transformations.
P (-3, 8) ⟶ P' (-3, -8)
Q (-6, -4) ⟶ Q' (-6, 4)
R (1, 1) ⟶ R' (1, -1)
Thus, the vertices of the reflected triangle are P' (-3, -8), Q' (-6, 4), R' (1, -1).
The image below shows ∆PQR and its reflection ∆P'Q'R' across the x-axis.
