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g100num [7]
2 years ago
10

-13x+4x=-39+18x what is X??????

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
8 0
-13x+4x=-39+18x
-9x=18x-39
-27x=-39
x=39/27

Check answer:
-9(39/27)=<span>-39+18(39/27)</span>
-13=-13
Hope this helps.
Vinil7 [7]2 years ago
6 0
X= 1.4
First, you combine like terms

-13x + 4x = -9x 

Then you subtract 18x from each side so you can get -39 by itself

-9x -18x = -27x

Next you divide -27x by -27 and -39 by -27

-27/-27 = 1x   

-39/-27 = 1.4

So X= 1.4
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The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

<h3>What is the triangle?</h3>

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The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

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(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

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3 years ago
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