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:
Step-by-step explanation:
From the question we are told that:
Arc 
Arc 
Given The angle of intersecting chords theorem
Generally the equation for angle BEC is mathematically given by
The final marker would be 105 miles from the first marker. Hope this helped. (5x21=105)
The way tires on wheels work is that when the wheel turns one complete
turn, it moves (forward or backward) by a distance that's the circumference
of the tire.
Now, we know that the circumference of a circle is (π) times the diameter.
The diameter of the tire on this bus is 1 meter. So its circumference is
(π · 1 meter), and every time it turns once, the bus moves 1 meter down
the road.
If the tire rotated 8,000 times, then the bus moved 8,000π meters,
or 8π kilometers.
THAT's the exact answer. If you want to know how far that actually is,
then you take some number that's approximately π and multiply it by
8 km. You can never get an exact answer like that, because you can
never write the exact value of π with digits.
In school, we often use ' 3.14 ' for π . If you do that, then the bus
traveled
(8 km) x (3.14) = 25.1 kilometers .
When you do that, you have to remember that it's approximate.
If you want an exact answer, then you have to leave π in the answer.
Answer:
= 12x - 5y
Step-by-step explanation:
Given that:
=(3y+8x)+(4x-8y)
Now simplify by removing brackets:
= 3y + 8x + 4x - 8y
Add the same terms:
= 12x - 5y
i hope it will help you!
