Answer:
9
Step-by-step explanation:
Pythagorean Theorem
a²+b²=c²
(c² is the hypotenuse)
a² + 40² = 41²
a² + 1,600 = 1,681
subtract 1681-1600 in order to isolate a², which is the missing leg we are trying to find
a² = 81 in order to find our answer, we isolate a by squaring both sides
√a² = √81
a = 9
Our answer is 9.
It all just depends on how much it cost per foot, how much you need, the durability of the rope its self... I don’t see any numbers but if you put some numbers I can help lol
The function in vertex form is ⇒ 3rd answer
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- a is the coefficient of x²
- (h , k) are the coordinates of the vertex point
- , wher b is the coefficient of x
- k = f(h), that means value f(x) when x = h
∵ f(x) = x² + x + 1
∴ a = 1 , b = 1
∵
- Substitute the values of a and b to find h
∴
∴
Substitute the value of x in f(x) by the value of h to find k
∵ f( ) =
∴ f( ) =
∴ f( ) =
- k is the value of f(x) when x = h
∵ h =
∴ k = f( )
∴ k =
Substitute the values of a, h and k in the vertex form
∵ f(x) = a(x - h)² + k
∵ a = 1 , ,
∴
∴
The function in vertex form is
Learn more:
You can learn more about the quadratic functions in brainly.com/question/9390381
#LearnwithBrainly
It is equivalent to 12.63 MPH Roughly :)