Answer: maximum height of the football = 176 feet
Step-by-step explanation:
We want to determine the maximum height of the football from the ground. From the function given,
h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t
t = -b/2a
b = 96 and a= -16
t = -b/2a = -96/2×-16= 3
Substituting t = 3 into the function if h
h(t) = -16×3^2+96×3 +32
=-16×9 + 96×3 +32
= -144+ 288+32
=176 feet
For this case we have the following data:
So that the figure can be a rectangle, its diagonals must be equal, that is, 
In this way we have:
Clearing x we have:
Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:
Option A
We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.
Consider the ratio of 1 and 3.5,
1 : 3.5 = 
= 
Reducing the above fraction to its lowest form.
So, we get 
Therefore, the ratio 1 : 3.5 is expressed as 
where 2 and 7 are the whole numbers.
Think of how many there are. im not sure if you put these into ratios or not...
like for number 3 think of how many numbers 1-9 are multiples of three
1 2 3 4 5 6 7 8 9
and once you get that number you make it out of 9 because there were 9 numbers
Example
3:9 3/9
for questions one and two its out of 52 and if you don't know how many clubs and hearts are in a deck you can look it up and put it in a ratio with 52
