Answer:
An arithmetic sequence is a sequence in which the difference between successive terms in the sequence can be gotten by either adding or subtracting a particular number. This number is called the common difference
Answer:
The expression of h as function of x is h = 
Step-by-step explanation:
Given as :
The distance of blimp (AB) = 5500 feet
The slanted distance to the pagoda (BC) = d feet
The horizontal distance (AC) = h
Let the angle made between slanted distance and horizontal distance be Ф
So , cos Ф =
= 
And sin Ф =
= 
∵, cos²Ф = 1 - sin²Ф
So,
= 
Or,
=
Or, h² = d² - 5500²
∴ h = 
Or, h = 
Hence The expression of h as function of x is h =
Answer
Answer:
(x, y) = (18/5, 16/5)
OR
(x, y) = (3.6, 3.2)
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.