Answer: (2,-1)
Solution:
The critical points of a function are those where the first derivative is zero.
Find the first derivative of f(x), d f(x) / dx
1) Given: f(x) = -x^2 + 4x - 5.
2) d f(x) / dx = d [ - x^2 + 4x - 5] / dx = -2x + 4
3) Equal d f(x) / dx to 0
d f(x) / dx = -2x + 4 = 0 => 2x = 4, => x = 2
4) Replace 2 in the function f(x)
f(2) = - (2)^2 + 4(2) - 5 = - 4 + 8 - 5 = - 1
5) Answer: point ( 2, -1)
This is the correct answer people I just took the lesson. -4^-4
For a, the answer is 2. for b, the answer is 12
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
The sum of legs for a right triangle is 12:
(1)
And their product is:
(2)
By entering eq (1) into (2) we have:
We can find the value of "b" by solving the above quadratic equation.
Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.
Now, the hypotenuse of the right triangle is given by:
Hence, the perimeter is:
Therefore, the perimeter of the triangle is 40.
I hope it helps you!