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brilliants [131]
3 years ago
13

Which of the following are solutions to the equation below? 3x^2+27x+60=0

Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0
<span>3x^2+27x+60=0
3(x^2 + 9x + 20) = 0
3(x + 4)(x + 5) = 0
</span>x + 4 = 0; x = -4
x + 5 = 0; x = -5

answer
<span>solutions:
x = -5 and x = -4</span>
Tju [1.3M]3 years ago
4 0
Ummmmmmmmmmmmmmmmmmmmmmmmm
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A number is divided by 2. If 16 is added to the quotient you get 20. What is the number? A.2 B.8 C.18 D.72
kkurt [141]
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3 years ago
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Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

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e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

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dividing through by 2 we have

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b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

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e^(-jθ) = cosθ - jsinθ

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Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

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3 years ago
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Answer:

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hope this helps

stay safe:)))

brainliest is appreciated

this person keeps copying and reporting my questions and then saying i copied them so im sorry if that happens :(

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4 years ago
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Step-by-step explanation:

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