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Mathematics 17 Online
OpenStudy (sarahc):

If pentagon OPQRS is dilated by a scale factor of 7/4 from the origin, to create O’P’Q’R’S’, what is the ordered pair of point P’? (-8.75, 5.25) (-1.25, 0.75) (-3.5, 8.75) (-1.75, 3.5)

OpenStudy (sarahc):

jimthompson5910 (jim_thompson5910):

All you need to do here is multiply each coordinate of P by 7/4 to find the corresponding coordinates of P'

OpenStudy (sarahc):

err ok...

jimthompson5910 (jim_thompson5910):

does that make sense?

OpenStudy (sarahc):

not really :/

jimthompson5910 (jim_thompson5910):

What's the x coordinate of P?

OpenStudy (sarahc):

-5

jimthompson5910 (jim_thompson5910):

So multiply that by 7/4 to get ???

OpenStudy (sarahc):

ohhhh okay.

jimthompson5910 (jim_thompson5910):

and you do the same for the y coordinate as well

OpenStudy (sarahc):

ok so (-8.75, 5.25)

jimthompson5910 (jim_thompson5910):

you got it

OpenStudy (sarahc):

would i do the same for this? If hexagon IJKLMN is dilated by a scale factor of from the origin to create hexagon I’J’K’L’M’N’, what is the ordered pair of point L’?

OpenStudy (sarahc):

sooo the answer would be (-0.4, 0.8) ?

jimthompson5910 (jim_thompson5910):

scale factor of what?

OpenStudy (sarahc):

ahh I'm sorry, 2/5

jimthompson5910 (jim_thompson5910):

you got it again, nice job

OpenStudy (sarahc):

last question, I swear ;) If the perimeter of the adult pinball machine is 177 inches, what is the length, in inches of GA ?

jimthompson5910 (jim_thompson5910):

Any ideas on how to do this?

OpenStudy (sarahc):

hmm, I'm sure there is a formula..errr would it be 9. wild guess

jimthompson5910 (jim_thompson5910):

The perimeter of the adult pinball machine is 177 inches, so the sides of that pinball machine must add to 177 right?

OpenStudy (sarahc):

yeah..

jimthompson5910 (jim_thompson5910):

so we have 4 sides, 3 of which are known

jimthompson5910 (jim_thompson5910):

let's make GA x units long, so this means that 35+56+56+x = 177

OpenStudy (sarahc):

omg I knew that. I meant, (sorry, my mistake), G'A'

jimthompson5910 (jim_thompson5910):

no worries

jimthompson5910 (jim_thompson5910):

Notice how the ratio of EM to E'M' is 35/14, do you see this?

OpenStudy (sarahc):

yes

jimthompson5910 (jim_thompson5910):

So if G'A' is y units long, then EM/E'M' = GA/G'A' 35/14 = x/y So you first solve for x (using the equation in a few posts above). Then you use this equation to find y

OpenStudy (sarahc):

So, 12?

OpenStudy (sarahc):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

you got it, you're on a roll :)

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