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zvonat [6]
4 years ago
14

What is the simplest form of x2+5x+-6/ x2+9x+18​

Mathematics
2 answers:
nirvana33 [79]4 years ago
5 0

Answer:

\frac{x-1}{x+3}

Step-by-step explanation:

Let's factor the numerator and denominator first.

x^2+5x-6 is a quadratic in the form of x^2+bx+c.

If you have a quadratic in the form of x^2+bx+c, all you have to do to factor is think of two numbers that multiply to be c and add to be b.

In this case multiplies to be -6 and adds to be 5.

Those numbers are 6 and -1 since -1(6)=-6 and -1+6=5.

So the factored form of x^2+5x-6 is (x-1)(x+6).

x^2+9x+18 is a quadratic in the form of x^2+bx+c as well.

So we need to find two numbers that multiply to be 18 and add to be 9.

These numbers are 6 and 3 since 6(3)=18 and 6+3=9.

So the factored form of x^2+9x+18 is (x+3)(x+6).

So we have that:

\frac{x^2+5x+-6}{x^2+9x+18}=\frac{(x-1)(x+6)}{(x+3)(x+6)}

We can simplify this as long as x is not -6 as

\frac{x-1}{x+3}

I obtained the last line there by canceling out the common factor on top and bottom.

nadezda [96]4 years ago
3 0

Answer:

We can simplify this as long as x is not -6 as

\frac{x-1}{x+3}

Step-by-step explanation:

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Dj14ven
scoundrel [369]

The answer came from Rgwoot Ambitious

from another post in case anyone else needs it

What we know:

shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance

we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle  that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.


perimeter=2l+2w

 

What we need to find: PERIMETER

Using pythagorean method a² +b²=h² to find length:

From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.

a² +b²=h²

(9)²+(9)²=h²         substitution

81+81=h²            simplified

162=h²

√162=√h2           used radical properties

√162=h               length =√162


Using pythagorean method a² +b²=h² to find width:

From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.


a² +b²=h²

(3)²+(3)²=h²

9+9=h²

18=h²

√18=√h²

√18=h           this is the width=√18


Now we find perimeter:

p=2l+2w

p=2(√162)+2(√18)

p≈33.9


D. 33.9 units


Read more on Brainly.com - brainly.com/question/6780060#readmore

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3 years ago
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Romashka [77]

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Step-by-step explanation:

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aleksley [76]

Answer:

27

Step-by-step explanation:

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Usimov [2.4K]
Try 42 love :D   hope this helps 
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How many ways are there to move from one corner of a cube to the diagonally opposite corner, in three moves, each of which trave
Ulleksa [173]

Answer: 6 ways

there are 6 ways to move from one corner of a cube to the diagonally opposite corner in three moves

Step-by-step explanation:

Given that;

-It's restricted to three moves.

-It has to move from one diagonal to its opposite diagonal.

-it can only move through the edges.

Hence, in the first move.

We have three(3) different options that is three different possible moves that can lead us to the final destination.

The second move.

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Move 3 = 1 option each

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