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lys-0071 [83]
3 years ago
5

Find an expression which represents the sum of (-3x-4y)(−3x−4y) and (x+3y)(x+3y) in simplest terms

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

The sum of (−3x−4y) and (x+3y) in simplest terms will be:

\left(-3x-4y\right)+\left(x+3y\right)=-2x-y

Step-by-step explanation:

Given

  • (−3x−4y)
  • (x+3y)

Finding the sum of (−3x−4y) and (x+3y)

\left(-3x-4y\right)+\left(x+3y\right)

=-3x-4y+x+3y

=-3x+x-4y+3y

=-2x-4y+3y

=-2x-y

Therefore, the sum of (−3x−4y) and (x+3y) in simplest terms will be:

\left(-3x-4y\right)+\left(x+3y\right)=-2x-y

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tamaranim1 [39]

Hello from MrBillDoesMath!

Answer:

6


Discussion:

36 as the square of 6. So 36 = 6*6:

36 = 6*6     => divide both sides by 6

36/6 = 6*6/6

         =6

That's my strategy.


Thank you,


MrB

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3 years ago
For your rock collection display, you want to have at most 25 samples.
mezya [45]

Answer:

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

The graph is attached.

Step-by-step explanation:

Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.

You know that you want to  to have at most 25 samples, then:

y\leq 25-x

And you want to have at least 3 times as many sedimentary samples as

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y\geq 3x

Therefore, the system of  inequalities that model the situation is:

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

The y-intercept of the line y=25-x is:

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And the x-intercept is:

0= 25-x\\\\x=25

Knowing this, you can graph the line

The y-intercept of the line y= 3x is:

y=3(0)\\\\y=0

And the x-intercept is:

0= 3x\\\\x=0

Knowing this, you can graph the line.

Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.

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