5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
.... Hope this will help....
Answer: Angle 4
Step-by-step explanation:
The angle of depression is formed by the line of sight and the horizontal line tangent to the top of the observer.
Answer:
Step-by-step explanation:
a. when t=0,h=3ft
c.t=47/32 sec
d.
time taken to fall 2301/64 ft=0*t+\frac{1}{2}*32*t^2
t^2=\frac{2301}{64*16}
t=\frac{\sqrt{2301}}{8*4}=\frac {47.97}{32}
total ~time=\frac{47+47.97}{32}=\frac{94.97}{32} sec
10 minutes I'm pretty sure. My calculations may be off but at least I tried
