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Afina-wow [57]
4 years ago
15

Analyze Cecile’s work. Is it correct? No, adding in 0x keeps an equivalent polynomial. No, she did not fill in the X correctly.

She should have 16 on top and –9 on the bottom. No, 16x6 + 12x3 – 12x3 – 9 is not equivalent to 16x6 – 9. Yes, Cecile factored the polynomial correctly.
Mathematics
2 answers:
pochemuha4 years ago
6 0

Answer:

Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

Serga [27]4 years ago
3 0

Answer:

The correct answer is D) Yes, Cecile factored the polynomial correctly.

Step-by-step explanation:

Cecile's work is correct because she factored the polynomial correctly!

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Use identities to find sin2Θ and cos2Θ, given cosΘ= -12/15 and sinΘ>0 PLZ HELP ASAP
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Answer:

see explanation

Step-by-step explanation:

using the trigonometric identities

• sin2x = 2sinxcosx

• cos2x = 2cos²x - 1

• sin²x + cos²x = 1

sinx = ± \sqrt{1-cos^2x}

       = ± \sqrt{1-(-12/15)^2}

       = ± \sqrt{1-\frac{144}{225} }

       = ± \sqrt{\frac{81}{225} } = ± \frac{9}{15}

since sinΘ > 0 then sinΘ = \frac{9}{15} = \frac{3}{5}

sin2Θ = 2 × \frac{3}{5} × - \frac{12}{15} = - \frac{24}{25}

cos2Θ = 2 × (- \frac{12}{15})² - 1

           = 2 × \frac{144}{225} - 1

           = \frac{288}{225} - 1 = \frac{63}{225} = \frac{7}{25}

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Starting with 5^0 (since in PEMDAS, we have parenthesis, exponents, multiplication, division, addition, and subtraction, and exponents come before multiplication), we know that anything to the power of 0 equals 1. Therefore, 5^0=1. Next, for 2^1, anything to the power of 1 means it's that number, so 2^1=2. Note that for 2^3 (and for most exponents), however, it's 2 multiplied by itself 3 times, or 2*2*2=8. Since 5^0=1 and 2^1=2, 5^0*2^1=1*2=2

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