All categories

3 years ago

Simplify the expression below as much as possible. (8 + 5i) + (10 +6i) - (3 +61)

1 answer:

6 0

Answer is -46+11i
Because

Remove unnecessary parenthese
Then

When there is a in front of an expression in parentheses, the expression remains the same

Then

Add the numbers

Calculate the sum or difference

Collect like terms

You might be interested in

The points (k, -8) and (8,0) fall on a line with a slope of 8. What is the value of k?<br> k=

liberstina [14]

K=h bacuse its. dhhhhgggggggdggdgdgddggdbdhejjejehshshsbsbsbs

6 0

2 years ago

What id the sum of 2'8" + 1'6"

lidiya [134]

Interesting question about feet and inches. The best way to solve this problem is to ask yourself how many inches are in a foot. Since there are 12 inches in every foot then the length of 2'8" can be written as (2*12)" + 8". Which is 24+8 or 32 inches. The second number (1'6") can be written as (1*12)"+6" which is 18 inches. 32 + 18 = 50 inches. Or, if you want to change this back into feet and inches just divide it by 12. 50/12 is 4 R. 2. So 4'2".

3 0

3 years ago

The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Serggg [28]

Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.

3 0

3 years ago

Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

If the price of rail season tickets increases by 4% every year, work out the price after 3

Zarrin [17]

Answer:

3048 x 1.04 ^3 = 3428.585474

4 0

3 years ago