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Genrish500 [490]
3 years ago
11

Simplify: (3-4i)(1+5i)-(2-i) Show all of your work please

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i


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What is the number of times a base is multiplied by its self indicated by an exponent
lozanna [386]

The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.

Let's say we had the expression 5^3

The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.

The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

5^3 = 5*5*5 = 125

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.

5 0
3 years ago
Which equation of a line passes through the points (3, −1) and (6, 1)?
Vaselesa [24]

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = \frac{y1-y2}{x1-x2}

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m =  (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm  Y = 2/3x - 3 is the answer.

4 0
3 years ago
What is the explicit formula for this sequence? 2,10,50,250,1250<br>​
Valentin [98]

Answer:

a_n = 2(5)^{n-1}

Step-by-step explanation:

Explicit Geometric Formula: a_n = a_1r^{n-1}

a₁ is 1st term

<em>r</em> is common ratio

<em>n</em> is term number

Step 1: Find common ratio <em>r</em>

r = 10/2 = 5

Step 2: Plug variables into formula

a_n = 2(5)^{n-1}

4 0
3 years ago
Read 2 more answers
use the guide to construct a two column proof proving △aec≅△deb, given that ca is parallel to db and e is the midpoint of ad. gi
MrMuchimi

By using the AAA congruence property of Triangles, △aec≅△deb is proved

It is given two triangles, Δaec and Δdeb, where e is the common point known as the midpoint of ad

Also, it is given that,

ca ║db

We need to prove that, △aec≅△deb

Then we'll use AAA congruence property of Triangles to prove the situation

As ca ║db

then, ∠cae = ∠ebd  (Alternate angles)

∠ace = ∠edb (Alternate angles)

and ∠aec = ∠deb (common angles)

Thus, by AAA congruence property, △aec≅△deb

Hence, proved

To learn more about, congruence property, here

brainly.com/question/2039214

#SPJ4

5 0
1 year ago
I need help in my math homework
IRINA_888 [86]
All you do is subtract the two numbers
4 0
3 years ago
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