Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m =
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = =
=
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = , then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:
Where center is at point (h,k)
From the equation of . First, we add 45 both sides:
Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:
Therefore, the center of ellipse is at (0,0) since there are no values of h and k.
Answer:
Complete question:
write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's
Step-by-step explanation:
According to the question, she earned $75000 for the first book.
Also,We are given that her cumulative earnings double with each sequel that she writes.
Assuming she has written n sequel's
Now since we are given that her cumulative earnings double with each sequel
So, her initial earning will be times
So, her earning will be :
Now we are given that cumulative earnings is denoted by E(n)
So, the function becomes :
Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's is