2 years ago

Which binomial is a factor of 49x2 + 84xy + 36y2?

Mathematics

1 answer:

statuscvo [17]2 years ago

7 0

Answer:

A. 7x + 6y

Step-by-step explanation:

49x² + 84xy + 36y²

Factoring the perfect square:

(7x + 6y)²

7x + 6y is a factor.

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Jackson would have to pay $100 more then his dad

(Jackson)$1,000x.15= $150 Interest

(His Dad)$1,000x.05= $50 Interest

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2 years ago

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Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two

svp [43]

Answer:

θ∈{ $\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}$ }

Explanation:

The given equation is

$sin(2\theta )-cos(2\theta )=0$

$\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}$

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ= $\frac{\pi }{8}$

For n=1, θ = $\frac{5\pi }{8}$

For n=2,θ = $\frac{9\pi }{8}$

For n=3,θ = $\frac{13\pi }{8}$

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2 years ago

A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during t

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The end of first hour = 13*3 = 39

The end of second hour = 39*3 = 117

The end of third hour = 117*3 = 351

The end of fourth hour = 351*3 = 1,053

The end of fourth hour = 1053*3 = 3,159

The end of fifth hour = 3159*3 = 9,477

The end of sixth hour = 9477*3 = 28,431

The end of seventh hour = 28341*3 = 85,293

The end of eighth hour = 85293*3 = 255,879

The end of ninth hour = 255879*3 = 767,637

The end of tenth hour = 767637*3 = 2,302,911

The correct answer is D.2,302,911

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2 years ago

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2 years ago

If a concrete column is 6 inches by 6 inches square and 8 ft. long, calculate its weight in Newtons, given a specific weight of

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<h2>Weight of column is 555.83 N</h2>

Step-by-step explanation:

Size of column = 6 inch x 6 inch x 8 ft

Size of column = 0.5 ft x 0.5 ft x 8 ft

Volume of column = 0.5 x 0.5 x 8 = 2 ft³

Specific weight of concrete = 62.4 lb/ft³

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Mass = 2 x 62.4

Mass = 124.8 lb = 124.8 x 0.454 = 56.66 kg

Weight = 56.66 x 9.81 = 555.83 N

Weight of column is 555.83 N

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2 years ago