Find the solution(s) of the system of equations. y = –x2 + 2 y = x2 + 4x + 4

Mathematics

1 answer:

Lelechka [254]2 years ago

4 0

(-1/4,5/2)

Hope this helps ;)

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In how many different ways can a red, blue, and green marker be arranged in a tray?

grigory [225]

Answer:

6 ways.

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3 years ago

Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.

Masja [62]

Answer:

See below.

Step-by-step explanation:

So, we have:

$\sec(\theta)=-2/\sqrt{3}$

Recall that secant is simply the reciprocal of cosine. So we can:

$\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2$

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

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and

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3 years ago

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Soloha48 [4]

Answer:

For $(2x^2 + 8x - 8)$ , the group is CLOSED as it a polynomial.