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Anon25 [30]
3 years ago
12

I'm taking College algebra and I don't know how to do this problem: f (x) = (x-2)^2 + 4

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
You must know that : (a-b) ^2 = a^2 - 2ab + b^2 so let a=x and b=2, applying above formula you'll get f(x) = x^2 - 4x +4 + 4 =x^2 - 4x +8 Hope you got it ;-) Revert back if you still face any trouble.
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Suppose KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. Prove that A is equidistant from LM and KN.
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Answer:

This is proved by ASA congruent rule.

 Step-by-step explanation:

Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ

we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.

In ΔAPN and ΔAQL

∠PNA=∠ALQ    (∵alternate angles)  

AN=AL   (∵diagonals of parallelogram bisect each other)

∠PAN=∠LAQ      (∵vertically opposite angles)

∴ By ASA rule ΔAPN ≅ ΔAQL

Hence, by CPCT  i.e Corresponding parts of congruent triangles PA=AQ

Hence, A is equidistant from LM and KN.

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