I will give the brainiest
2 answers:
You might be interested in
Answer:
B (0, 285 ) , C (380, 0 )
Step-by-step explanation:
the first step is to obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )
m = =
=
= -
= - 0.75 , then
y = - 0.75x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equatio
using (620, - 180 ) , then
- 180 = - 465 + c ⇒ c = - 180 + 465 = 285
So y- intercept is B (0, 285 )
y = - 0.75x + 285 ← equation of line
to find the x- intercept , let y = 0 in the equation and solve for x
0 = - 0.75 + 285 ( subtract 285 from both sides )
- 285 = - 0.75x ( divide both sides by - 0.75 )
380 = x
x- intercept is C (380, 0 )
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>
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:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>