9514 1404 393
Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...
B 3:7
If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.
Answer:
q = 94
p = 18
Step-by-step explanation:
The triangles are congruent so q = 94
Add q + 68 same as 94 + 68 = 162
Subtract 162 from 180 to get p
180 - 162 = 18
Hope this helps!
Usually the easiest way to solve this is by using a calculator. Of course only if your teacher allows you too.