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Mathematics 14 Online
OpenStudy (anonymous):

Help Please! I will give a medal! Please Help!

OpenStudy (anonymous):

Write a translation rule that maps point D(7, -3) onto point D'(2, 5).

OpenStudy (anonymous):

@MathLegend

OpenStudy (mathlegend):

One sec

OpenStudy (anonymous):

OK, thnks

OpenStudy (mathlegend):

Do you know how to find the slope?

OpenStudy (anonymous):

No...

OpenStudy (mathlegend):

D(7, -3) onto point D'(2, 5) Lets subtract D' - D X-values... 2-7 = ? Y-values... 5-(-3) = ?

OpenStudy (mathlegend):

@Pretty_Princesses what do your x and y values equal?

OpenStudy (anonymous):

Ok...... 2-7 =5 5-(-3) = 8

OpenStudy (mathlegend):

x-value = -5 y-value = 8

OpenStudy (anonymous):

oops forgot the - sign.

OpenStudy (mathlegend):

To write that... we simply do this... (x-5, y+8)

OpenStudy (anonymous):

Do I solve it^^^^^?

OpenStudy (mathlegend):

Oh, no I did it backwards!

OpenStudy (anonymous):

oh ok

OpenStudy (mathlegend):

x-values... 7-2 = 5 y-values... -3-5 = -8 Right?

OpenStudy (mathlegend):

(x+5, y-8)

OpenStudy (mathlegend):

The reason I knew I did it backwards was by plotting the point and following the rule.

OpenStudy (anonymous):

Right.

OpenStudy (mathlegend):

Make sense?

OpenStudy (mathlegend):

That is your rule.

OpenStudy (anonymous):

Yes it does.

OpenStudy (anonymous):

I get it.

OpenStudy (anonymous):

I have a other problem is that OK? @MathLegend

OpenStudy (anonymous):

Which of the images above represents a poof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.

OpenStudy (anonymous):

OpenStudy (mathlegend):

Do notice the each leg of the triangle? I want you take picture 1... and add up the legs and tell me if they equal the hypotenuse... then do the same for the 2nd picture. Tell me which one equals the hypotenuse.

OpenStudy (anonymous):

ok please wait....

OpenStudy (mathlegend):

will do :)

OpenStudy (anonymous):

For the 1st one do I add the numbers like 64^2 + 36^2 + 9^2 = 5, 473 ? ? ?

OpenStudy (mathlegend):

No, the numbers they give you are already squared. So simply add them.

OpenStudy (anonymous):

oh oh oh .... I'm lost !

OpenStudy (mathlegend):

Lets take the 1st picture...

OpenStudy (anonymous):

Ok.

OpenStudy (mathlegend):

Leg 1 = 9 Leg 2 = 36 Hypotenuse = 64 Does... 9 + 36 = 64 ?

OpenStudy (anonymous):

mmmm.... no

OpenStudy (anonymous):

No. it = 45

OpenStudy (mathlegend):

Okay, so that is not Pythagorean theorem.

OpenStudy (mathlegend):

What about the other one... Leg 1 = 25 Leg 2 = 144 Hypotenuse = 169 25 + 144 = 169 Does that work out good?

OpenStudy (anonymous):

Yes. it does

OpenStudy (mathlegend):

So that means it follow Pythagorean theorem....

OpenStudy (anonymous):

yes

OpenStudy (mathlegend):

It shows you that \[a ^{2}+b ^{2}=c ^{2}\]

OpenStudy (mathlegend):

The original of ... 25 + 144 = 169 is \[5^{2}+12^{2}=13^{2}\] If you took the square root of the first set of numbers.

OpenStudy (mathlegend):

Understand @Pretty_Princesses ?

OpenStudy (anonymous):

ok I understand. :)

OpenStudy (anonymous):

Yes I do

OpenStudy (anonymous):

thnx again

OpenStudy (mathlegend):

No problem

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