Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
<em>x³ - 6x² + 49x - 294</em>
First, group the first and second terms together and group the last two terms together.
<em>(x³ - 6x²) + (49x - 294)</em>
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
Answer: E. :)
Step-by-step explanation:
Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:

The result - 1225π shows that the cylinder can be filled fully with that given amount.