Ln(xy) - 2x =0
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
<u>Answer</u>
c. 62/95
<u>Explanation</u>
Probability is the chance of an event happening.
Probability = (favorable outcome)/(total outcome)
P(girl) = 12/20 × 11/19
= (12×11)/(20×19)
= 132/380
= 33/95
P( not a girl) = 1 - 33/95
= 62/95
Answer:
1) B 2) A 3) B 4) A 5) D
Step-by-step explanation:
I did all this mentally, so if you needed work im sorry ;-;
Answer:
3 Gallons
Step-by-step explanation:
If half a gallon of paint covers 1/6 of a wall, then we need 6 1/2 gallons of paint. To make this simpler, we can just say that a gallon of paint can cover 2/6 of the wall. This means that with 2 gallons of paint, we can cover 4/6 of the wall. 3 gallons of paint will cover 6/6 of the wall.
a) Since ∠FGI is bisected, that means <em>∠FGH and ∠HGI are congruent</em>.
Therefore, <em>5x - 3 = 6x - 8</em>
x to one side: 6x - 5x = -3 + 8
Subtract: x = 5
Plug in: m∠FGH = 5(5) - 3
Simplify: 25 - 3 = 22
m∠FGH = 22°
b) Since ∠FGH is congruent to ∠HGI, m∠FGH = m∠HGI.
Through substitution, m∠HGI = 22°
c) ∠FGI is ∠FGH and ∠HGI combined, so m∠FGI = m∠FGH + m∠HGI
Substitute: m∠FGI = 22° + 22°
Add: m∠FGI = 44°