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2 years ago

Identify the factors of x2 + 16y2.

Mathematics

2 answers:

sergey [27]2 years ago

7 0

Answer: Factors will be (x+4i)(x-4i)

Step-by-step explanation:

Since we have given that

$x^2+16y^2$

We need to find the factors of the above expression:

As we know that

$a^2+b^2=(a+ib)(a-ib)$

So, Here, we have,

a = x

b = 4y

$(x)^2+(4y)^2=(x+4i)(x-4i)$

Hence, factors will be (x+4i)(x-4i)

BabaBlast [244]2 years ago

3 0

The way to find the factores is by seeking the polonomial's roots, or zeros!

To find the roots, we set the polinomial equation to zero:

x^2+16y^2=0

Then we solve this equation:

x^2=-16y^2

This is only true, if x=y=0.

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Express sin6θ + sin4θ as a product.

Olin [163]

Answer: $2 sin(5 \theta) cos \theta$

Step-by-step explanation:

According to the trigonometric identities we have the following formula:

$sin (x) + sin (y)=2 sin(\frac{x+y}{2}) cos(\frac{x-y}{2})$

Now, we have the following:

$sin (6\theta)+ sin (4\theta)$

Where $x=6\theta$ and $y=4\theta$

Hence:

$sin (6\theta)+ sin (4\theta)=2 sin(\frac{6\theta+4\theta}{2}) cos(\frac{6\theta-4\theta}{2})$

$sin (6\theta)+ sin (4\theta)=2 sin(\frac{10\theta}{2}) cos(\frac{2\theta}{2})$

Finally:

$sin (6\theta)+ sin (4\theta)=2 sin(5\theta) cos(\theta)$

3 0

2 years ago

A 24-ounce box of cornflakes costs $4.59

Nikitich [7]

what is the question?

5 0

2 years ago

To gain a pass a student needs to achieve a mean of at least 60% in eight tests. In the first seven

Tanzania [10]

Step-by-step explanation:

the mean value is the sum of all data points divided by the number of data points.

first we have 7 tests and their mean value :

(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54

that means

(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378

in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480

because only then we have

(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60

and the student passes.

so,

(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480

378 + t8 = 480

t8 = 480 - 378 = 102%

the student would have to achieve 102% on the 8th test.

which would be normally impossible, but maybe the tests involve some bonus points.

6 0

1 year ago

She put out two more recovery tests smh

Umnica [9.8K]

Answer:

C - 8

Step-by-step explanation:

4 0

3 years ago

General douglas MacArthur, one of the leading generals in World War II was born in 1880 and died in 1964 how old was he when he

malfutka [58]

Answer: he was 84 years old when he died and the fractional part of a century that he live is 21/25

Step-by-step explanation:

General Douglas MacArthur, one of the leading generals in World War II was born in 1880. He died in 1964. The number of years that he lived would be the year he died - the yea he was born. Therefore,

His age when he died

= 1964 - 1880 = 84 years.

The number of years in a century is 100. Therefore, the fractional part of a century that he lived would be

84/100 = 21/25

4 0

3 years ago