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Anuta_ua [19.1K]
3 years ago
5

lara and mae participated in a quiz contest. They scored 23 points in all. If lara scored 9 points, how many points did mae scor

e?
Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

23-9=14 points



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Completing the square follows the principle of taking a x^{2} +bx+c and converting it into (x+ \frac{b}{2})^2+d where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us a x^{2} +b.

In this case, 2/2=1 so we have the first part: (w+1)^2.
Expanding this gives us w^2+2w+1. We need c to be 9, so we can just add 8.
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Now we can solve it more easily.
Rearranging:
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9514 1404 393

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Step-by-step explanation:

The form for the equation of an ellipse centered at the origin is ...

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In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.

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Step-by-step explanation:

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