All categories

2 years ago

Write m = 21 - 72i as an ordered pair in an Argand diagram.

Mathematics

1 answer:

Marysya12 [62]2 years ago

4 0

Answer:

m = 21 - 72·i in an ordered pair = (21, -72)

Step-by-step explanation:

Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value

As such to represent the complex number as an ordered pair, we have;

a + bi is equivalent to (a, b)

Therefore;

To write the complex number, m = 21 - 72·i as an ordered pair in an Argand diagram, we have;

m = 21 - 72·i in an ordered pair = (21, -72).

You might be interested in

11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c

raketka [301]

probability that a dessert sold at a certain cafe contains chocolate is 86%.

The probability that a dessert containing chocolate also contains nuts is 30%.

Find the probability that a dessert chosen at random contains nuts given that it contains chocolate

P(nuts given chocolate) = .30/.86 = .349 or 34

6 0

2 years ago

What is the value of x if g^x-1-2= 25?

SVETLANKA909090 [29]

Answer:

Third option: $x=\frac{5}{2}$

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

$9^{x-1}-2=25$

The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

$9^{x-1}-2+2=25+2\\\\9^{x-1}=27$

2. Descompose 9 and 27 into their prime factors:

$9=3*3=3^2\\27=3*3*3=3^3$

3. Substitute them into the equation:

$3^{2(x-1)}=3^3$

4. Knowing that If $a^n=b^m$ , then $n=m$ , we get:

$2(x-1)=3$

5. Apply Distributive property:

$2x-2=3$

6. Add 2 to both sides:

$2x-2+2=3+2\\\\2x=5$

7. Divide both sides of the equation by 2:

$\frac{2x}{2}=\frac{5}{2}\\\\x=\frac{5}{2}$

3 0

2 years ago

Read 2 more answers

A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, −3) and Boat B is docked at (−3.4, −3). The boats are _

Tasya [4]

They are 5.8 units apart

5 0

2 years ago

Read 2 more answers

-6(2r +8)=-10(r-3)<br> I need the work to

barxatty [35]

Answer:

r = -39

Step-by-step explanation:

So we are trying to solve the equation for r.

-6(2r + 8) = -10(r - 3)

Divide both sides by -2. (This will make distributing much easier.)

3(2r + 8) = 5(r - 3)

Distribute the 3 on the left side and the 5 on the right side,

6r + 24 = 5r - 15

Subtract 24 from both sides.

6r = 5r - 39

Subtract 5r from both sides.

r = -39

So now we have solve the equation.

I hope you find my answer and explanation to be helpful. Happy studying. :)

5 0

2 years ago

Kayla has decided to paint the ceiling in the living room. She has 1/30 gallon of paint left. The living room ceiling will take

ella [17]

So the ceiling takes 5/6 gallon to paint. We know that you already have 1/30 gallon and another gallon in addition to that. We must convert the 5/6 into ?/30 so we can see how much we need to use. So if we convert 5/6 to out of 30, we get 25/30. So the first can has 1/30 gallon so we subtract that amount from the total paint needed. So now we only need 24/30 gallon to paint the ceiling. If we subtract that amount needed from the full (30/30) can we have left, that will give us the remaining amount of paint we have left. 30/30-24/30= 6/30. This reduces to 1/5. So there is 1/5 gallon of paint left over after painting the ceiling.

3 0

2 years ago