Answer:

Step-by-step explanation:
We want to simplify;

We expand the bracket to obtain;

We now group the like terms to obtain;

We now simplify to get;

The correct answer is C
When
the ball is in the ground, its height is basically equal to zero thus making
our equation,
<span> -16t^2 + 272t + 1344 = 0</span>
Simplifying
the equation will give us,
<span> - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>
Factoring
out the equation will give us,
<span> (t – 21)(t + 4) = 0</span>
Thus,
t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.
<span>Answer:
21 seconds</span>
You could start by eliminating wrong answer(s):
(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,
(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)
On the other hand:
(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32: 2(<span>xy + 4y − 4x − 16)
(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
We get 2(x +4) [y - 4]</span>
The given equation is of the form y = m x + b where m is the slope and b is the y intercept that is value of y when x =0 , or we can say b is the initial value.
In the given equation which is y = 4t+2, on comparing we will get m =4 that is slope is 4 and here slope represents the rate or speed and 2 is the y intercept that is b. And 2 represents the initial position that is, the ant is 2 units from the home initially .
Answer:
180
Step-by-step explanation:
112+64
=112+64
=176