Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
Answer:
Width = 12 in
Length = 16 in
Step-by-step explanation:
Let, the Width of the rectangle = w in
Now, the length of the rectangle = (w + 4) in
Now, Perimeter = 56 in
Also, we know that
Perimeter of the Rectangle = 2 (Length +Width)
or, 2 (Length +Width) = 56
⇒ 2(w + 4 +w) = 56
or, 4w =56 -8
width = 12 in
So, Length = w + 4 = 12 + 4 = 16 in
C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
