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2 years ago

(x+6)(x-3) solve by multiplying out and combining like terms

Mathematics

1 answer:

pogonyaev2 years ago

8 0

Answer:

x^2 + 3x - 18

Step-by-step explanation:

In order to solve this problem, I recommend using the FOIL method.

F = Front

O = Outer

I = Inner

L = Last

Start by multiplying the fronts which is x with x, which will give you x^2 (X to the second power).

Then, multiply x and -3, which gives you -3x. (Outer)

Third, multiply 6 and x, which gives you 6x. (Inner)

Finally, multiply 6 and -3, which gives you -18. (Last)

Now, there are like terms in the products that we just did which is 6x and -3x combine them together and you will get 3x.

So your results should be

x^2 + 3x - 18

Hope this helps!

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Triangle FGH is translated using the rule (x,y) > (x+3,y-1). What are the coordinates of H ?

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Answer: $H'(4,-3)$

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

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In this case you know that the Pre-Image is the Triangle FGH.

You can identify in the picture that its vertex H has these coordinates:

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