F(x) = x³ + 3x² - 10x - 24
The root factors must be the factors of 24.
1 x 24 ; 2 x 12 ; 3 x 8 ; 4 x 6.
The most probable roots would be -4, -3, -2, -1, 1, 2, 3, or 4.
Using synthetic division, one can find that the smallest root is -3.
(x - 3)(x² - 6x - 8). The quadratic can now be factored as (x + 2)(x - 4) and further factored as (x - 3)(x + 2)(x - 4).
The correct factors are: (x - 3) (x + 2) (x - 4)
Answer:
A. Actute triangle
Step-by-step explanation:
Is A because an acute triangle is a triangle where all the angles are the same.
Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.
Can not be C. because equilatiral triangles are triangles with sides that are all the same.
Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.
So it has to be A.
18 + 36 = 18(1+2)
GCF is 18.
5y - 3 = 3y + 27
2y = 30
y = 15
m<A= 5(15) - 3 = 75 - 3 = 72
m<B = [360 - 2(72)]/2
m<B = [360 - 144] / 2
m<B = 216 / 2
m<B = 108
Can't be done without knowing what
is...
But I can tell you that the average value of
is given by
At the very least, we can compute the denominator, which is just the area of
. You have
so the average value will be
