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3 years ago

The correct simplified form of 2y5+4y5−3y3−5y3

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

answerers about Caca Andika from Indonesia

Arturiano [62]3 years ago

3 0

Hey there! I'm happy to help!

Numbers with the same variable and exponent are like terms and can be simplified.

$2y^5+4y^5=6y^5$ (variable is y, exponent is 5)

$-3y^3-5y^3=-8y^3$ (variable is y, exponent is 3)

So, our final simplified form is $6y^5-8y^3$ .

Have a wonderful day! :D

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3 years ago

For parallelogram ABCD, what is the perimeter and measure of AC?

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Step-by-step explanation:

The diagonals AC and BD of parallelogram ABCD are bisecting each other by making 90° angle, this tells us that it is a RHOMBUS.

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Let diagonals AC and BD intersects at point O.

Therefore, by Pythagoras theorem:

$OA^2 = AB^2 - OB^2 \\ OA= \sqrt{AB^2 - OB^2 } \\ = \sqrt{ {17}^{2} - {8}^{2} } \\ = \sqrt{289 - 64} \\ = \sqrt{225} \\ = 15 \\ \because \: AC = 2\times OA \\ \therefore \: AC = 2\times 15 \\ \therefore \: AC = 30 \: units \\$

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