Answer:
13
Step-by-step explanation:
To factor both numerator and denominator in this rational expression we are going to substitute

with

; so

and

. This way we can rewrite the expression as follows:

Now we have two much easier to factor expressions of the form

. For the numerator we need to find two numbers whose product is

(30) and its sum

(-11); those numbers are -5 and -6.

and

.
Similarly, for the denominator those numbers are -2 and -5.

and

. Now we can factor both numerator and denominator:

Notice that we have

in both numerator and denominator, so we can cancel those out:

But remember than

, so lets replace that to get back to our original variable:

Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is


Answer:
150 cubic inches of water
Step-by-step explanation:
volume of a cylinder = πr²h
Volume of a cone 1/3(πr²h)
π = 22/7
r = radius
volume of a cone =
x Volume of a cylinder
450 / 3 = 150 in³
We know that
a) find <span>the ratio of the perimeters
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3
b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>²*area smaller figure
scale factor²=area larger figure/area smaller figure
the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9
the answer Part b) is
169/9
the complete answer is
13/3 and 169/9