Answer: 2
Step-by-step explanation:
A dice has 6 numbers on it, 1,2,3,4,5, and 6.
how many pairs of 3 can you make?
(1 2 3) (4 5 6)
There are 2 pairs, so your answer is 2
A) x^2 + y^2 = 80
B) x * y = 12
What is x^2 -y^2?
B) x * y = 12
So y = 12 / x
A) x^2 + (12/x)^2 = 80
x^2 + (12/x)^2 = 80
x^2 + (144/x^2) = 80
Multiplying each side by x^2
x^4 + 144 = 80x^2
x^4 -80x^2 + 144 = 0
X = 1.355 (found by trial and error)
Y =
<span>
<span>
<span>
8.85608</span></span></span> (found by trial and error)
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
Answer:
Raymond's mistake was on the last step, since he didn't square root both sides
The correct answer should be

Step-by-step explanation:

Good luck!
Answer:
x = 6
y = 3
Step-by-step explanation:
Give triangle is a right triangle.
By applying sine ratio in the given triangle,
sin(60)° = 

x = 6
Now we take the cosine ratio in the given triangle,
cos(60)° = 

y = 
y = 
Therefore, x = 6 and y = 3 will be the answer.