Answer:
Roots: -4, 1, 5 with multiplicities 1, 2, 1.
Step-by-step explanation:
You have already identified the roots of g(x). The polynomial is of even degree, so the constant in the polynomial (-20) is the product of the roots. Since the product of the roots you know is -20, the remaining root must be 1. That is, the root x=1 has multiplicity 2.
On a graph of the function — my favorite way to find real roots of higher degree polynomials — you find that the curve touches, but does not cross the x-axis at x=1. This indicates a root of even multiplicity. Since there are only 4 roots and you know three of them, the "even multiplicity" must be a multiplicity of 2.
You have not identified the meaning of "b", so we cannot tell you what it is.
Answer:
c =
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
c² = 9² + 6² = 81 + 36 = 117 ( take the square root of both sides )
c = ≈ 10.8 ( to 1 dec. place )
Answer:
B. 75°
C. 105°
Step-by-step explanation:
We are given the figure of parallel lines with a line intersecting both of them as shown in the figure below.
B) We have, the car going south-west on King Avenue turns left onto 3rd street.
As, the lines representing 3rd street and 4th street are parallel. Their corresponding angles will be equal.
So, ∠1 = 75°
As, King Avenue intersects 3rd street, the vertical angles will be equal.
So, ∠2 = ∠1 = 75°
Thus, the angle made by the car's turning is 75°.
C) We have, the car going north-east on King Avenue turns right onto 3rd street.
As, the sum of angles on a straight line is 180°.
So, ∠2 + ∠3 = 180°
i.e. ∠3 = 180° - ∠2
i.e. ∠3 = 180° - 75°
i.e. ∠3 = 105°
Thus, the angle made by the car's turning is 105°.
