Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:
The arithmetic sequence is given by:
Putting the values
Hence,
The function will be: f(n) = 2n
Can't see the table but direct variation is: y = kx
So if the output is some constant multiple which could be positive, negative or fraction then yes it is direct variation. So just divide a couple y/x = k to see what you get.
Answer
D. `(y+4) = (5)/(3)(x+ 1)`
Step by step explanation
The given points are (-1, -4) and (2, 1)
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4)) / (2 - (-1))
= (1 + 4) / (2 +1)
m = 5/3
When two points are given, the equation of the line is
(y - y1) = m (x - x1)
y -(-4) = 5/3 (x - (-1))
y + 4 = 5/3 (x + 1)
The answer is (y+4) = (5)/(3)(x+ 1)
Thank you.
We are given coordinate of K point (7,4).
We need to find the new coordinate of K' point.
Given rule is K' = Ro 270°^(k).
That represents rotation of k 270 degree about the origin.
<em>The rule for rotation of 270 degree about the origin is as following:</em>
<em>(x, y) --------> (y, -x).</em>
Now, applying same rule on point (7,4).
(7,4) -----------> (4,-7).
<h3>Therefore, the coordinates of k' is (4,-7).</h3><h3>Correct option is A. (4,-7).</h3>
