Ask question

Ask question

All categories

andreyandreev [35.5K]

3 years ago

10

Which of the following best describes the set of all numbers of the form a+bi where a and b are any real numbers and i equals sq

uare root of -1?
A. Rational Exponents

B. complex numbers

C. complex fractions

D. Rational Exponents

1 answer:

Andrei [34K]3 years ago

6 0

<h3>Answer: B) Complex numbers</h3>

Complex numbers are always in the form a+bi with 'a' and 'b' as real numbers.

If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number

If a = 0 and b is nonzero, then a+bi = 0+bi = bi indicating that the number is now purely imaginary

You might be interested in

Please help me ASAP PLease Ill give brainlist to whoever answer first.

allochka39001 [22]

Answer:

c. the team could overestimate community support because those surveyed may be more likely to support a park than the overall community would.

I just took the quiz

6 0

3 years ago

Find the volume of the following figure using unit cubes.

Kipish [7]

The person under has a better answer |

v

5 0

3 years ago

Read 2 more answers

3. Rewrite -2x + 3y = 6 in slope intercept form.

zaharov [31]

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Further explanation:

The standard slope-intercept form is:

$y=mx+b$

Given equation is:

$-2x+3y=6$

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

<u>Adding 2x on both sides</u>

$-2x+3y+2x=6+2x\\3y=2x+6$

<u>Dividing both sides by 3</u>

$\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}$

<u>Simplifying</u>

$y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2$

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

#learnwithBrainly

4 0

3 years ago

Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal

pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and $\frac{11}{6}$ .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form $f(x) = 0$ based on the following formula:

$x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}$

Where:

$x_{i}$ - i-th Approximation, dimensionless.

$x_{i+1}$ - (i+1)-th Approximation, dimensionless.

$f(x_{i})$ - Function evaluated at i-th Approximation, dimensionless.

$f'(x_{i})$ - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be $f(x) = x^{2}-8$ and $f'(x) = 2\cdot x$ , the resultant expression is:

$x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}$

First iteration: ( $x_{1} = 2$ )

$x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}$

$x_{2} = 2 + \frac{4}{4}$

$x_{2} = 3$

Second iteration: ( $x_{2} = 3$ )

$x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}$

$x_{3} = 2 - \frac{1}{6}$

$x_{3} = \frac{11}{6}$

7 0

4 years ago

Draw to explain how these to problems are different 35-15 and 43-26

Burka [1]

Well,
35 - 15 = 20
43 - 26 = 17
The difference is that there 3 apart ( I just subtracted 20 with 17 and got 3)
Hope This Helps!!!
:)

4 0

3 years ago

Read 2 more answers