Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Answer:
From the given options, option D is the only choice that contains (w-5).
Step-by-step explanation:
Given the expression
Breaking the expression into groups
Factor out 'w' form w²+4w = w(w+4)
Factor out 'w' from -5w-20= -5(w+4)
so
Factor out common term: w+4
Thus, the factors are: (w+4) and (w-5)
Therefore, from the given options, option D is the only choice that contains (w-5).
Step-by-step explanation:
the formula is :
tan (a+b) =
(tan (a) + tan (b)) / ( 1 - tan (a) . tan (b))
therefore
tan (π/5) + tan (π/2)) / (1-tan (π/5) tan (π/2))
= tan (π/5 + π/2)
Since x represents the length (in meters), the width, which is 7 meters greater, is x +7. The product of these dimensions is the area (in square meters):
x(x +7) = 170
In standard form, the quadratic is ...
x² +7x -170 = 0
Answer:
85.4
Step-by-step explanation:
first you have to find the radius before you find the area. so given the height, the radius is 11.3 meters. then, you need to find the area behind the arc, which is 85.4 meters/
