Quotients can sometimes be irrational so it is necessary to estimate them, products on the other hand are only rational, provided they aren't multiplied by an irrational, so it is not necessary to estimate
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
6x³ - 4x² - 16x
To factorize the expression first factor out the GCF out
The GCF in the expression is 2x
That's
2x( 3x² - 2x - 8)
Next Factorize the terms in the bracket
To factorize write - 2x as a difference
that's
2x( 3x² + 4x - 6x - 8)
<u>Factor out x from the expression</u>
2x [ x( 3x + 4) - 6x - 8 ]
<u>Next factor out - 2 from the expression</u>
2x [ x ( 3x + 4) - 2( 3x + 4) ]
<u>Factor out 3x + 4 from the expression</u>
We have the final answer as
<h3>2x( 3x + 4)( x - 2)</h3>
Hope this helps you
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
Green Line:
This is a horizontal line at x = 0, so it would be:
x ? 0
Since the shaded area is going to the left of 0 (this means x is negative):
x ≤ 0
Blue Line:
The shaded area is below the line, so:
y ≤ mx + b
When x = 0, y is -5.
y ≤ mx - 5
From each point, you go up 3 units, and to the right 4 units, so the slope is
.

Answer:

Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute

step 2
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find out the arc length by a central angle of 168 degrees
