Answer:
CDJ= 34
Step-by-step explanation:
We know that ADJ = 90 degrees
ADK = 180 degrees and JDK equals 90 degrees so ADJ must equal 90 degrees
ADJ = ADC+CDJ
ADJ =4x+ 3x-8
Since ADJ = 90 degrees
90 = 4x+3x-8
Combine like terms
90 = 7x-8
Add 8 to each side
90+8 = 7x-8+8
98 = 7x
Divide each side by 7
98/7 = 7x/7
14 =x
We want to know CDJ
CDJ = 3x-8
CDJ = 3(14) -8
CDJ = 42-8
CDJ= 34
Answer: 54.4
Step-by-step explanation:
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
I think it’s D sorry if you get this wrong I also have to do my work
