Using geogebra (see attached), I get roughly r = 0.98886 which rounds to r = 0.989
Answer:
0.989Side Note: The fact that r is very close to +1 means the data set has strong positive linear correlation. The points all fall very close to a line with positive slope.
The answer is A.(x+2)(3x+4)
First, plot the coordinates so you can easily see the parallelograms. The points in blue is the original parallelogram, while the points in orange form the parallelogram after the transformation.
As you can observe, the two properties form a mirror image (reflection) vertically (or across the y-axis). However, it is moved downwards by 10 units. To guide you, count the units of distance between the two topmost points of each of the two parallelograms. The answer is letter A.
5x + 3 = 3x + 11
• first put all the x-values on one side and the rest on the other
Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)
5x - 3x = 11 - 3
• subtract left and right sides separately
2x = 8
• divide both sides by 2 to solve for x
2x/2 = 8/2
x = 4 (final answer)