Answer:
t = 2
Step-by-step explanation:
Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.
Recall that the formula for the position of the vertex in a general parabolic function of the form: 
, is given by the expression: 
In our case, the variable "x" is in fact "t", the leading coefficient (
) is -5, and the coefficient for the linear term (
) is 20.
Therefore, the maximum of the path will be when 
There value for z would be 3-5
Answer: number 3, 35
Step-by-step explanation: i promise
Answer:
Yes, it is possible
Step-by-step explanation:
In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.
In formula, this means that:
where
c is the length of the longest side
a, b are the lengths of the shortest side
In this problem, we want to build a triangle using 3 pieces of lumber, each of length:
a = 3 ft
b = 7 ft
c = 8 ft
We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:
Therefore, yes, it is possible to build a closed triangular pen.
