Given the following points:
(1, 4): (2, 2.5): (3, 1) and (4, -0.5).
We are asked to find the average rate of change of the sequence.
The average rate of change for the sequence is the slope and it can be solved using the slope formula.
Slope (m) = y2 - y1
x2 - x1
So, lets choose two points on the line and substitute into the formular.
(1, 4) and (2, 2.5)
where:
x1 = 1
x2 = 2
y1 = 4
y2 = 2.5
m = 2.5 - 4
2 - 1
m = -1.5/1
m = -1.5
m = -1 1/2
Therefore, the correct option is the second option.
Answer:
Step-by-step explanation:
<u>Given sets</u>
- R = {10, 15, 20}
- S = {20, 25}
<u>Intersection of sets</u>
Let's plug the coordinate point values into the equation:

(1,3) is
x₁ and (3,1) is x₂
Begin to simplify within the parenthesis:

Square the two numbers:
Add the two to get:
Since 8 is not a square number, this is as far as we can simplify this. Hope this helps!
They should make the banner 2 meters long because making a banner 2 centimeters long would be way too small.
If the two triangles are congruent it means that their side lengths are equal, so we can assume that x = 3x - 8 and so 2x = 8 and x = 4. Hope that helps :)