Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
Răspuns:
693860
Explicație pas cu pas:
Diferența dintre: 824532 și 698845
824532 - 698845 = 125687
Dublând rezultatul, r:
2 * 125687 = 251374
Pentru a obține: 3 * 315078 = 945234
Numărul care trebuie adăugat la r, în altul pentru a obține 945234 este:
945234 - 251374 = 693860
Prin urmare, 693860 trebuie adăugat la 251374 pentru a obține (3 * 315078)
Answer:
Step-by-step explanation:
Perimeter of Square = 40 cm
4*side = 40
side = 40/4
side = 10 cm
Area of shaded region= Area of square - [Area of triangle 1 + Area of triangle 2]
![=[side*side]-[\frac{1}{2}*b*h+\frac{1}{2}*b*h]\\\\=[10*10]-[\frac{1}2}*3*10+\frac{1}{2}*10*6]\\\\=100-[3*5+5*6]\\\\=100-[15+30]\\\\=100-45\\\\=55cm^{2}\\](https://tex.z-dn.net/?f=%3D%5Bside%2Aside%5D-%5B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%2B%5Cfrac%7B1%7D%7B2%7D%2Ab%2Ah%5D%5C%5C%5C%5C%3D%5B10%2A10%5D-%5B%5Cfrac%7B1%7D2%7D%2A3%2A10%2B%5Cfrac%7B1%7D%7B2%7D%2A10%2A6%5D%5C%5C%5C%5C%3D100-%5B3%2A5%2B5%2A6%5D%5C%5C%5C%5C%3D100-%5B15%2B30%5D%5C%5C%5C%5C%3D100-45%5C%5C%5C%5C%3D55cm%5E%7B2%7D%5C%5C)
Percentage = (55/100)*100=55%
