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Elis [28]
3 years ago
11

How do I solve this?

Mathematics
1 answer:
vodomira [7]3 years ago
7 0
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:

-c^2-4c+21

From here, we’ll factor out a -1 so that we have:

-(c^2+4c-21)

Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:

(c + (-3))(c + 7)
(c - 3)(c + 7)

And adding back on the negative from a few steps earlier:

-(c - 3)(c + 7)
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Answer:

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Step-by-step explanation:

Once the equation of the circle has been written in the format

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Flura [38]

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Read 2 more answers
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Vika [28.1K]
It's the first choice above.  The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations.  None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2).  In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin.  The only correct one is the first one.
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3 years ago
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Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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