If -5 is a root then f(x) is divisible by x + 5
The quotient from this division is 3x^2 -20x +12
Factoring this:-
= 3x^2 - 18x - 2x + 12
= 3x(x - 6) - 2(x - 6)
= (3x - 2)(x - 6)
So 2 more roots are 2/3 and 6
All the roots are -5 , 2/3 and 6. Answer
Triangles ABC and XYZ are similar, so the corresponding angle to A in XYZ triangle is angle X. We can actually find sin(X) very easily.
Because we know all sides and the right angle, we can use certain formula to find sin(X), like this:
sin(X) = opposite side / hypotenuse = 6/10 = 3/5
sin(X) = sin(A)
The correct answer is sin(A) = 3/5.
Coordinate 1 is : (0,3)
Coordinate 2 is : (-4,-2)
Coordinate 3 is : (-1,-5)
Coordinate 4 is (4,0)
Hope this helps!
ANSWER
EXPLANATION
According to the power property of logarithms:
The given logarithm is
When we apply the power property to this logarithm, we get,
