The answer to this question is ....... a) 11
Answer: please provide a picture
Step-by-step explanation:
Answer:
x=3
y=-1
Step-by-step explanation:
first multiply the 2nd row by 2 so you will get
4x-4y=16
4x+2y=10
then subtract the 2nd row from the first row and so you will get
-6y=6
then solve for y in the above equation
y=-1
then substitute y=-1 into any 2 equations .
i picked the first 1
4x-4 × -1=16
then solve for x .
you will get
x=3
The third angle is 56 degrees because it is a right <u>triangle</u>, so the three angles will add up to 180 degrees. Since it is a right triangle, you know one angle is 90 degrees. All you have to do is add 90 and 34, and then subtract that from 180 to get your third angle.
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
