Answer:
+
*LN(|
|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns 
into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into 
(see substitutions) while secθ will resolve into 
sec(θ)= is from its ratio identity of hyp/adj where the hyp. is 
and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
= + *LN(||) +C
Answer:
C: 3 Cars
Step-by-step explanation:
40% of 10 is 4.
10 - 4 ( silver cars ) = 6
6 - 3 ( red cars ) = 3
So there are 3 blue cars.
^.^
- Amanda
Answer:
It looks like its being reflected across y = x, so the rule would be
(x, y) —> (y, x)
First equation:
-6x-29+7x=8
Combine like terms
-6+7=1
1x-29=8
Add 29 to both sides
1x=37
Divide both sides by 1
x=37
Second equation:
-8x+6x-13=33
Combine like terms
-8+6=-2
-2x-13=33
Add 13 on both sides
-2x=46
Divide both sides by -2
x=-23
