Answer:
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3).
Step-by-step explanation:
xy = (x + y)^4
Using implicit differentiation:
x dy/dx + y*1 = 4 (x + y)^3 * (1 + dy/dx)
x dy/dx + y = 4 (x + y)^3 + 4 dy/dx (x + y)^3
x dy/dx - 4 dy/dx (x + y)^3 = 4 (x + y)^3 - y
dy/dx( x - 4(x + y)^3) = 4 (x + y)^3 - y
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3)
The probability of rolling a sum of six or two even numbers.
is P = 1/3
<h3>
How to find the probability?</h3>
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
The answer is B
first, look at all the x coordinates:
-5+2=-3, -2+2=0, 0+2=2
then, look at all the y coordinates:
1+1=2, 7+1=8, 1+1=2
All the three points are translated in the same way, that is, right 2 units, up 1 unit. the two triangles are congruent.
Answer:
I think the question is not right
