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3 years ago

Use square roots to solve the equation x^2 = -64 over the complex numbers.

1 answer:

7 0

$\bf x^2=-64\implies x=\pm\sqrt{-64}\implies x=\pm\sqrt{-1\cdot 64}
\\\\\\
x=\pm\sqrt{-1}\cdot \sqrt{64}\implies x=\pm i\cdot 8\implies x=\pm 8i$

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Need step by step detailed answer

kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

$y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\$

then the product of the slopes $m_1m_2 = -1$

In other words, $m_2 = -\frac{1}{m_1}$

We have the first line as

$y = \frac{1}{4}x + 5\\\\$

The slope of this line is $\frac{1}{4}$

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)

4 0

2 years ago

Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears. What fraction

Anna71 [15]

<span>Tabia spent 15/24 of this week's allowance on gummy bears. She can calculate that by multiplying 3/4 times 5/6. To do that, she multiplies the top numbers of each fraction together (3 times 5 equals 15), and to get the top number of the fraction. Then she multiplies the bottom numbers together (4 times 6 equals 24) to get the bottom number.</span>

3 0

4 years ago

Professor Lam is grading papers in the teachers' lounge. He has already finished grading 6 assignments, and is grading 4 more as

Delvig [45]

Answer:

Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.

3 0

3 years ago

Helpppp me pls! What is the lenght of AC?

Crazy boy [7]

Step-by-step explanation:

Bc is also 20 answer is 400

7 0

3 years ago

The library has DVDs on crime, adventure and science fiction.

kozerog [31]

Answer:

The library has 1,056 crime DVDs.

Step-by-step explanatiion:

Crime : Adventure : Science

11x : 6x : 10x

6x+384=10x

384=4x

x=96

The number of crime DVDs is 11x.

We found that x=96.

So, the number of crime DVDs the library has is equal to 11*96.

11*96=1,056.

Hope this helps!

6 0

3 years ago