Answer:
A parabola opens downward with vertex at (1,20)
Step-by-step explanation:
The function that models the height of bag of candies is
The graph of this function is a parabola that opens downward.
To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.
Factor -16 to get;
Add and subtract the square of half the coefficient of t.
Factor the perfect square trinomial:
The vertex is (1,20)
This means the maximum height after 1 second is 20 feet.
The shop would have repaired 10 because Jeff only repaired half so you would do 5 x 2 = 10 to double what Jeff did to show how many bikes the shop fixed.
Answer:
3w - 9/2 is the equivalent expression
14*4= 56
so 56 would be the answer
Answer:
a) F= 4
i + 4 j
b) Θ=11.3
c) The work done is 20
Step-by-step explanation:
a) ||F||=8, α=π/4
Fx=||F||·sin(π/4)=8·
Fy=||F||·cos(π/4)=8·
F=Fx i + Fy j = 4 i + 4 j
b) We can find the value of Θ using the equation:
cos(Θ)=
where:
D= 3 i + 2 j
F=4 i + 4 j
The dot product is defined as the sum of the products of the components of each vector as:
F · D= 
||F||= 8
||D||= 
Hence:
Θ=arccos(
)
Θ=arccos(0.981)
Θ= 11.3°
c) Work is equal to:
F · D= =28.3
Other way of obtainig the work is:
||F||||D||cos(Θ)
where:
||F||= 8
||D||=
Θ=11.3°
So, ||F||||D||cos(Θ)=8×
×cos(11.3°)=28.3
