All categories

2 years ago

Write the expression as a complex number in standard form.

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

15+2i

The complex number is now in standard form

Hope this helps!

You might be interested in

What happens when you rotate a straight line 180 degrees?

Alchen [17]

Answer:

Rotation of a point through 180°, about the origin when a point is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new position

Step-by-step explanation:

6 0

3 years ago

There are 128 flavors at an ice cream shop. If a company orders 75 scoops of each flavor, how many scoops of ice cream would the

Y_Kistochka [10]

Hope this answer helps you! :)

5 0

3 years ago

What is the value of t in the equation 3(2t + 5) = 5t + 25?

11Alexandr11 [23.1K]

3(2t + 5) = 5t + 25
6t + 15 = 5t + 25
6t - 5t = 25 - 15
t = 10

8 0

3 years ago

What is the equation of the line shown in the graph?

postnew [5]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 1) and (2, -4). Substitute:

$m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1$

Therefore we have the equation of a line

$y=-1x+b\to y=-x+b$

Put the coordinates of the point (-3, 1) to the equation:

$1=-(-3)+b$

$1=3+b$ subtract 3 from both sides

$-2=b\to b=-2$

<h3>Answer: y = -x - 2</h3>

4 0

3 years ago

What is 1556 rounded to the nearest thousand

fgiga [73]

Greetings!

"What is 1556 rounded to the nearest thousand?"...

The thousand place value number is in bold: 1556.

Since the number to the right of the bold number is 5 or greater, we round up.

1556 rounded from the thousand place value is 2000.

Hope this helps.
-Benjamin

6 0

2 years ago