10) Using the rules for Partial Fraction Decomposition, decompose the following rational function into the sum of its smaller rational parts:
6x - 10
f(x) =
x2 + 10x + 25
Which equation represents the decomposition of f(x)?
6
40
6
I
A. f(x) =
X+5 (x+5)2
-40
B. f(x) =
+
x+5
(x+5)
5 5
C. f(x) = +
x+5 x+5
6
10
D. f(x) =
x+5 (x+5)2

Step-by-step explanation:

Using the rules for Partial Fraction Decomposition, decompose the following rational function into the sum of its

smaller rational parts:

6x - 10

f(x) =

x2 + 10x + 25

Which equation represents the decomposition of f(x)?

6

40

6

I

A. f(x) =

X+5 (x+5)2

-40

B. f(x) =

+

x+5

(x+5)

5 5

C. f(x) = +

x+5 x+5

6

10

D. f(x) =

x+5 (x+5)2



Step-by-step explanation:



c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d