Answer:
A=27 cm^2
B=24 cm^2
C=26 cm^2
D=28 cm^2
Step-by-step explanation:
Break each problem down into individual shapes.
For instance, A can be split into a 3 by 3 square and a 6 by 3 square.
Get the area by multiplying the length & height: A = L * H
For the triangles the area is the same equation divided by 2 A=LH/2
Shapes with unclear dimensions like C can be skipped and have their area revealed through process of elimination.
Answer:
21. B. Graph Z
23. A. neither function nor relation
24. D. relation only
Step-by-step explanation:
21. Graph Z is the only graph which does not pass the vertical line test
23. The graph does not pass the vertical line test, AND it is not merely given x and y points like a relation. It is graphed as a squiggly line with no given x and y points, therefore you could not make a relation from it either.
24. There is an x value of -4 twice, meaning the set does not pass the vertical line test, HOWEVER, it is a given collection of x and y values, making it a relation.
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For a better understanding of the solution provided here please find the diagram attached.
Please note that in coordinate geometry, the coordinates of the midpoint of a line segment is always the average of the coordinates of the endpoints of that line segment.
Thus, if, for example, the end coordinates of a line segment are
and
then the coordinates of the midpoint of this line segment will be the average of the coordinates of the two endpoints and thus, it will be:

Thus for our question the endpoints are
and
and hence the midpoint will be:


Thus, Option C is the correct option.
Answer is number 2
F(3)= (3-1)^2+ 3(3)=4+9= 13 so the first option is wrong
F(-2)= (-2-1)^2+ 3(-2)= 9-6=3 third options is wrong
F(-15)= (-15-1)^2 +3(-15)= 256-45= 211 fourth option is wrong