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Licemer1 [7]
4 years ago
11

Simplify the expression. (3 i) - (2 - 2i) a. 1 3i b. 5 - i c. 4i d. -1 - 3i

Mathematics
2 answers:
ololo11 [35]4 years ago
8 0
Just treat 'i' as a placeholder (I know that it represents √-1, but just add 'i' as if it were a placeholder becaseu that is what it is.)

(3+i)-(2-2i)

distribute
3+i-2+2i
group
3-2+i+2i=
1+3i

answer is A
schepotkina [342]4 years ago
6 0

Answer:

Option a. 1 3i

Step-by-step explanation:

We have to simplify the expression ( 3 + i ) - ( 2 - 2i)

To solve this expression we will open the parenthesis first.

Since negative sign is given outside the parenthesis so negative sign will change all the signs inside the parenthesis when opened.

( 3 + i ) - ( 2 - 2i ) = 3 + i - 2 + 2i

Now we solve the like terms. If they are of same sign like terms will add and if they are of opposite sign they will get subtracted.

so, 3 + i - 2 + 2i = ( 3i + 1 )

Option a. 1 3i is the answer.

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In the diagram m ∠ 3 = x + 30 and m ∠ 4 = 2x - 80. What is the measure of angle 3?
Juli2301 [7.4K]

Answer:

140 degrees

Step-by-step explanation:

Due to ∠3 and ∠4 being vertical angles (they are across from one another) their measures are the same, therefore:

⇒ m∠3=m∠4

and since their measures are given in terms of x to find x just substitute:

⇒ x+30=2x-80 ⇒ x=110

We substitute x in m∠3=x+30 and find that m∠3=140 degrees

7 0
4 years ago
Read 2 more answers
Find the value of the expression 74.9+5.23-81.4-16
stich3 [128]

Answer:

To find the value of this expression you need to add and subtract from left to right

74.9+5.23-81.4-16 (add the first two, first)

80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)

-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)

-17.27 (-1.27-16=-17.27)

-17.27

Hope this helps ;)

3 0
3 years ago
Alvin is 5 years younger than Elga. The sum of their ages is 75. What is Elga's age?
I am Lyosha [343]

Answer:

Elga is 40

Step-by-step explanation:

I'll gladly answer..The question asks elga's age

35 + 40 = 75

and Alvin is 35

6 0
3 years ago
Maurice shot 2 under par, or -2, on each of the first 4 holes of golf. What is his score with respect to par after the fourth ho
Dafna11 [192]

Answer: -8

Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).

8 0
4 years ago
Estimate each the quotient 78÷4 is about _____÷4
KonstantinChe [14]

Answer:

80

Step-by-step explanation:

The trick is to pick something that should be very easy to get an answer to. If you use a calculator, you are not estimating.  80 divide by 4 is like 8 divide by 4 which gives you 2. Then just add a zero. Here's another one you can try. Put your calculator away to do it. 12 chicken noodle  soup cans cost 14 dollars. About how much does 1 can cost

no cheating. No calculator. Is the cost of 1 can more or less than a dollar? If you said more, you've estimated correctly.

Try it the other way. Suppose one can of the soup costs 0.95 cents. How many will 12 cans cost? More or less than 12 dollars.

If you said less, you are estimating correctly. The most useful gift you can take away from any math class is estimation.

3 0
4 years ago
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