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vladimir2022 [97]
3 years ago
9

Find the product: (2x –2)(x –1)a.2x2 + 4x -2b.2x2 + 4x + 2c.2x2 -4x + 2d.2x2+ 2

Mathematics
1 answer:
lesya [120]3 years ago
3 0

FOIL:

First:

2x^2

Outside:

-2x

Inside:

-2x

Last:

2

Put it together:

2x^2 -2x -2x +2

combine like terms:

2x^2 - 4x +2

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Find the number to add to x^2-18x
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Answer:

A. add 81; (x-9)^2

Step-by-step explanation:

The perfect square formula

(a-b)^2=a^2-2ab+b^2

Rewrite expression x^2-18x as follows:

x^2-2\cdot 9\cdot x

So, to form a perfect square, +9^2 is missed.

When we add 9^2=81, we will get

x^2-2\cdot 9\cdot x+9^2=(x-9)^2

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4 0
2 years ago
In an arithmetic sequence, = 5 and = 11.
Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

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Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

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But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

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a11=3c+8c+c2=18

5 0
3 years ago
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