Answer:
(5, -9).
Step-by-step explanation:
The vertex if (h, k).
So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).
Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
Let us assume the length of the string = x feet
Then
x = 50 * (square root 2)
= 50 * 1.414
= 70.7 feet
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".
Answer:
x=3
Step-by-step explanation:
First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>