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:



9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841