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Ostrovityanka [42]
3 years ago
12

Simplify the given expression.

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
(1 + 3i) + (2 - 5i) = 1 + 3i + 2 - 5i = 3 - 2i
forsale [732]3 years ago
3 0
Since you can only perform addition and subtraction on variables that have the same variable following them, the correct answer is B. 3 - 2i.
Here's why:
1 + 2 + (3i - 5i) =
3 - 2i

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Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Serjik [45]

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

8 0
2 years ago
Can you turn these inequalities into y=mx+b form? <br> y&gt; 3x-6<br><br><br> 4x-y&lt;7
kaheart [24]
I am not sure but wouldn't it be y=3x-6 and y=4x-7
8 0
3 years ago
Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.

For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

6 0
3 years ago
Which expression is equivalent to the given expression?​
Whitepunk [10]

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

7 0
2 years ago
Coterminal angle help
makkiz [27]

Answer:  320

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

Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.

Note: one rotation is 360°

-760 + 360 = -400

                     -400 + 360 = -40

                                           -40 + 360 = 320  

320 is between 0 and 360 so this is the angle we are looking for!

7 0
3 years ago
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