<span>40 units^2
The figure has the vertexes (2,7), (3,3), (3,-3), (-5,-5), (-6,-1), and (2,1). If you draw a line from (2,1) to (3,-3) you'll divide the figure into the rectangle and parallelogram. The total area will be the sum of the area of the parallelogram and the rectangle. The area of the parallelogram will be base times height, where the height is the distance between the line (2,7) to (2,1) and line (3,3) to (3,-3) which is 1 and the base is the length of the line (2,7) to (2,1) which is 6. So the parallelogram has an area of 6.
The length and width of the rectangle can be calculated from the Pythagorean theorem, so:
L = sqrt((2- -6)^2 + (1- -1)^2) = sqrt(8^2 + 2^2) = sqrt(64+4) = sqrt(68) = 2*sqrt(17)
W = sqrt((-6 - -5)^2 + (-1 - -5)^2) = sqrt(-1^2 + 4^2) = sqrt(1 + 16) = sqrt(17)
So the area of the rectangle is 2*sqrt(17)*sqrt(17) = 2*17 = 34.
And the total area is 34 + 6 = 40.</span>
Answer:
you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..
Step-by-step explanation:
Answer: The shape of the points in the scatter plot resemble an increasing exponential equation.
The set of data shown in the scatter plot best models an exponential equation. In this case the points are increasing. However, it is not at a linear (constant) rate. The points keep going up faster as the x-value increases.
Answer:
Irrational
Step-by-step explanation:
This answer will always irrational because for example if have 2 square root 3+4 then it would be irrational if you add them together because you wouldn’t be able to put that in a fraction