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kolbaska11 [484]
3 years ago
7

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. Which trinomial did she factor? x2 + 4x –

12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12

Mathematics
2 answers:
max2010maxim [7]3 years ago
5 0

The correct answer is x2 – 4x – 12

Valentin [98]3 years ago
4 0

Answer:

x² – 4x – 12

Step-by-step explanation:

We can see in the vertical edge of the model that one factor is (x+2).  In the horizontal edge of the model, the other factor is (x-6).

Multiplying the two factors, the trinomial is

(x+2)(x-6) = x(x)-6(x)+2(x)+2(-6) = x²-6x+2x-12

Combining like terms, we have

x²-4x-12

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Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

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Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

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30.

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31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

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