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anonymous
 one year ago
Question down below please I need help!!
anonymous
 one year ago
Question down below please I need help!!

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freckles
 one year ago
Best ResponseYou've already chosen the best response.1what trouble are you having?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1identifying the coordinates for C and D?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes I don't know how to solve the problem overall

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437368521661:dw y=b is a horizontal line any point falling on it will have it's y coordinate as b y=0 is a horizontal line any point falling on it will have it's y coordinate as 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437368652986:dw what I'm saying is I know 2a comes after a sometime you could have picked something else I'm sure calling it x=c would have been fine we would just assume c>a

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways x=a is a vertical line any point falling on it will have it's x coordinate as a x=2a is a vertical line any point falling on it will have it's x coordinate as 2a

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so what coordinates are you going to assign to C?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1notice the lines goes through point C above on the picture are x=2a and y=b and I did say any point on x=2a will have xcoordinate 2a and I also said any point on y=b will have ycoordinate b so we could give the coordinates of C as?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0c has cordinates of 2a, b?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes C has coordinate (2a,b) or that is what we are assigning C anyways it is appropriate since 2a does come after a but as I said before we could have pick another number like c and make the assumption c is greater than a but anyways dw:1437369322715:dw now we have to assign coordinates to D

freckles
 one year ago
Best ResponseYou've already chosen the best response.1notice D lays on the horizontal line y=0 any point falling on y=0 has ycoordinate 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437369388989:dw what number are you going to put in place of that ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I guess you could say 2a^2 the spacing between B's xcoordinate and C's xcoordinate seem pretty close to the spacing between C's xcoordinate and D's xcoordinate I think a better number might be 3a but I think 2a^2 would be great if we don't care about scales

freckles
 one year ago
Best ResponseYou've already chosen the best response.1by the way that is according to your picture I have drawn my D a little closer to my C than the pic actually shows

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437369720333:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now we want to verify that is a trapezoid

freckles
 one year ago
Best ResponseYou've already chosen the best response.1So we need to show the slope of line segment BC is the same as the slope of the line segment AD

freckles
 one year ago
Best ResponseYou've already chosen the best response.1This is because a trapezoid is a 4sided flat shape with straight sides that has a pair of opposite sides that are parallel. To show two lines are parallel you just show that their slopes are equal.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\text{ slope of a line } y=mx+b \text{ with coordinates } (x_1,y_1) \text{ and } (x_2,y_2) \\ \text{ is } \frac{y_2y_1}{x_2x_1}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so line BC has points (a,b) and (2a,b) so it's slope is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know actually.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can also just observe from the picture the slope of line segment BC is zero since it is a horizontal line segment but you can also do it algebraically using the formula I gave you have: \[(x_1,y_1)=(a,b) \text{ and } (x_2,y_2)=(2a,b) \\ \text{ so } x_1=a \\ y_1=b \\ x_2 =2a \\ y_2=b \\ \text{ so entering into the the formula } \\ \frac{y_2y_1}{x_2x_1}=\frac{bb}{2aa}\] we know that bb=0 and 2aa=a and 0/a is 0 (since we also know a is not 0)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways we also need the slope of the side that is opposite to BC

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if we can show that the side opposite to BC has the same slope I would say we are done since obviously the shape is 4sided flat shape

freckles
 one year ago
Best ResponseYou've already chosen the best response.1What did I say the slope of any horizontal line is?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so slope of BC is 0 and slope of AD is 0 dw:1437370464744:dw the opposite sides called BC and AD are parallel since they both have the same slope I think they asked you to find the coordinates to use the slope formula though (but honestly that is kind of weird since the line segments BC and AD obviously appear horizontal ) \[\text{ slope of } BC=\frac{bb}{2aa}=\frac{0}{a}=0 \\ \\ \text{ slope of } AC=\frac{00}{3a0}=...\] I will let you finish that if you want to.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways that is done we have shown this 4sided flat shape does consist of opposite sides that are parallel

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and 0/(3a) is 0 since 0/anything =0 (exlcuding the anything from being 0) (we know a isn't 0 since according to the picture a is greater than 0)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1np do you have anymore question about this question?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I'm about to vanish into thin air
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