Answer:
<em>0.4375secs </em>
Step-by-step explanation:
Given the height of the beach ball in feet expressed as;
y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height
At the max height, the velocity is zero i.e dt/dt = 0
dy/dt = -32t + 14
0 = -32t + 14
32t = 14
t = 14/32
t = 0.4375secs
<em>Hence it took the ball 0.4375secs to reach its maximum height</em>
Since <A is congruent to <C , so triangle ABC is an isoceles triangle and side AB is congruent to BC.
AB = BC
Therefore, we can set up an equation as following:
10x - 7 = 2x + 33
10x - 7 - 2x = 2x + 33 -2x Subtracting 2x from each sides.
8x -7 = 33
8x - 7 + 7 = 33 + 7 Add 7 to each sides.
8x = 40
Divide each sides by 40.
So, x = 5
First lets invert the divisor and chane to a multuplication:-
x + 5 2x^2 - 7x - 4
----------------- * --------------------
2x^2 + 3x + 1 3x^2 + 18x + 15
Now we can factor the 3 trinomials:-
x + 5 (2x + 1)(x - 4)
-------------- * ------------------
(2x + 1)(x + 1) 3(x + 5)(x + 1)
Now we simplify because (2x + 1) and (x + 5) are common to top and bottom:-
1 * x - 4
= ------------- ------------
x + 1 3( x + 1)
= x - 4
--------------
3(x + 1^2
Seems to be
an=4(an-1)
means the nth term is 4 times the previus term
easy, times each term by 4
so 2nd is 4*1/2 or 2
3rd term is 2 times 4 or 8
4th term is 8*4=32
first 4 terms are 1/2, 2, 8, 32
