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Elina [12.6K]
3 years ago
8

(20 points) Simplify The Expression with work/steps (8+3i) + (-2+ i)

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Given the expression (8+3i)+(-2+i)

We need to simplify it.

(8+3i)+(-2+i)

First we have to remove the parenthesis.

8+3i-2+i

As we know that multiplication of positive and negative is negative.

Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.

8-2 +3i+i

6+4i

We have got the required answer.

The simplified answer is 6+4i.

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bill put $750 into a cd that pays 8% interest, compounded quarterly. according to the rule of 72, approximately how long will it
Kisachek [45]
9 years

Hope it helped.
8 0
3 years ago
What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Alina [70]

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

= 1

Thus the midpoint of AB is "2.5, 1".

4 0
3 years ago
The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
3 years ago
Identify the biggest perfect square for 75
mr_godi [17]

Answer:

We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3. 3 doesn't have a pair. Thus 75 × 3 = 225 and √225 is 15.

Step-by-step explanation:

8 0
2 years ago
Can you give me a dividing problem that has a quotient of 3 and a remainder of 28
Umnica [9.8K]
Sure 32.144 devided by 9.8
5 0
3 years ago
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