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pentagon [3]
3 years ago
9

Which of the following best describes the set of all numbers of the forn 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
Mathematics
1 answer:
notsponge [240]3 years ago
4 0
<h2>Answer:</h2>

option: B is the correct answer.

                   B. complex numbers.

<h2>Step-by-step explanation:</h2>

We know that a complex number is always written in the form of :

                                 a+ib

  where a and b are real numbers and i is the square root of -1.

i is called an imaginary number.

If a>0 and b>0 then the point lie in the first quadrant.

if a>0 and b<0 then the point lie in the fourth quadrant.

if a<0 and b>0 then the point lie in the second quadrant.

if a<0 and b<0 then the point lie in the third quadrant.

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Determine the dimensions of the screen of a 42-inch TV with a 4:3 aspect ratio.
Nitella [24]

For this case, the first thing you should do is know that the measurement of a television is given by the diagonal of the television.

Therefore, to find the value of x, we use the Pythagorean theorem.

We have then:

(3x)^2+(4x)^2=42^2

Rewriting we have:

25x ^ 2 = 1764\\x = \sqrt {\frac {1764} {25}}\\x = \sqrt {70.59}\\x = 8.4

Then the dimensions are given by:

4x = (4 * 8.4) = 33.6\\3x = (3 * 8.4) = 25.2

Answer:

the dimensions of the screen are: 33.6* 25.2

5 0
3 years ago
Read 2 more answers
7(h+3)=6(h-3) pls help
Nutka1998 [239]
Is this problem is about solving for h? If it is, here is the answer:

6 0
3 years ago
If a=i-2j and b= 2i - xj are parallel, then x is.....<br>a) 4 3 2 ) 2 d 4.​
cupoosta [38]

Answer:

x = 4

Step-by-step explanation:

a = i-2j

b = 2i-xj

1 = k•2

-2 = k•(-x)

=> 1/2 = k

=> (-2)/(-x) = k

=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4

7 0
3 years ago
Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4
Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of  (-9,-8) and (7,-4)

midpoint formula is

\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}

\frac{-9+7}{2} ,\frac{-8+-4}{2}

midpoint is (-1, -6)

Now find the slope of the given line

(-9,-8) and (7,-4)

slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}

slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4  and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10


3 0
3 years ago
Taco Delight gives a free taco to every 12th customer and a free dessert to every 15th customer. Which customer would be the fir
KonstantinChe [14]

Answer:

8th customer when i did the math

Step-by-step explanation:

...

3 0
2 years ago
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