Ln x + xe^y = 1
1/x + xf'(x)e^y + e^y = 0
f'(x) = (-e^y - 1/x)/xe^y
f'(1, 0) = (-e^0 - 1/1)/e^0 = (-1 - 1)/1 = -2
Let the required equation of tangent be y = mx + c, where y = 0, m = -2, x = 1
0 = -2(1) + c = -2 + c
c = 2
Therefore, required equation is y = -2x + 2
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Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me (Show Source):You can put this solution on YOUR website!I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse.
We basically have this triangle set up:
Since we can see that the triangle has legs of 8 and x with a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse
8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x
6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term
+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides
+x++%5E+2+=+8+0 Combine like terms
s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides
x=4%2Asqrt%285%29 Simplify the square root
Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....
Answer:
subtract the 3x from one side and put in the other
4y = -3x -2
then divide both sides by 4
y= -3/4x -1/2
so the slope is-3/4
The formula is
A=p (1+rt)
A future value 2408
P present value 1400
R interest rate?
T time 12 years
Solve the formula for r
R= ((A/p)-1)÷t
R=((2,408÷1,400)−1)÷12
R=0.06×100
R=6%
2/10 is a fraction
The simplest form is 1/5
