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Gennadij [26K]
3 years ago
15

HEEEEEELP !

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

If you meant to write y=23x-4 then none of the lines are perpendicular.

I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.

For any line y=mx+b, you have to "invert" m to get  a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.

So 2/3 becomes -3/2, hence answer D.

The 'inverted' m is called the opposite reciprocal. That's your word of the day.


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Question 1.) Factor completely 12x^{4}+ 6x^{3}+18x^{2}

Since 6 divides all the three terms of the equation, so we take 6 common out from the equation.

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Since, the discriminant is less than zero. Therefore, the factored form of the given equation :  12x^{4}+ 6x^{3}+18x^{2}  is : 6x^{2}(2x^{2}+ 1x+3)


Question 2.) 7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}

Since 7 divides all the three terms of the equation, so we take 7 common out from the equation.

i.e., 7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})

Now, since x^{2}y divides all the three terms of the equation, so we take x^{2}y common out from the equation.

i.e., 7x^{2}y(x+ 2y^{2} - y)

Therefore, the factored form of the given equation :  7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}  is : 7x^{2}y(x+ 2y^{2} - y)


Question 3.) What is the Greatest Common Factor of x^{6} and x^{3} ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions x^{6} and x^{3}:

Since, x^{3} divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, x^{3} is the Greatest Common Factor of x^{6} and x^{3}



7 0
3 years ago
Read 2 more answers
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