Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
Answer: Part A: No; Part B; N/A
Step-by-step explanation:
The two triangles are not congruent because it's SSA, which doesn't work unless it's a right triangle.
Answer:
y + 4x - 6 = 0
Step-by-step explanation:
Rearranging the given equation:-
4y = x + 24
y = 1/4 x + 6
This has a y intercept of (0, 6) and a slope of 1/4.
Thus, the other line has a slope of -4 and passes through the point (0,6) also.
Using the Point-slope form of a straight line:-
y - y1 = m(x - x1)
y - 6 = -4(x - 0)
y + 4x - 6 = 0 is the required equation
Answer:
2123.72 cm²
Step-by-step explanation:
Hope it helps