MATHEMATICS HIGH SCHOOL

What is the sum of √-2 and √-18a. 4 √2
b. 4 √2i
c. 5 √2
d. 5 √2i

Answers

Answer 1
Answer: First, it is necessary to take out the i from the root. This is done by factoring out -1 as follows, using the relation √(-1) : = i

√-2 = √(-1)(2) = i√2
√-18 = √(-1)(2)(9) = 3i√2

Simplifying by adding the two terms together:
i√2 + 3i√2 = 4i√2

Therefore the answer is B.
Answer 2
Answer:

Answer:

B. 4 √2i

Step-by-step explanation:

did the test

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Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Bases on monthly weigh-ins, his weight, w, can be modeled by the function w=-3m+205 where m is the number of months after January 2013.a) How much did Jonathan weight at the start of the diet?b) How much weight has Jonathan been losing each month?c) How many months did it take Jonathan to lose 45 pounds?
What is the percent of change from 4 to 1?

If 500 students attend Washington Middle School, how many are going to the mountians for vacation?A. 25
B. 60
C. 75
D. 100
E. 125

Answers


12% of 500 people

12/100 x 500=60

If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse in centimeters?

Answers

Pythagorean theorem- a²+b²=c²
so a= 3 b=6 c=hypotenuse
3²+6²=c²
9+36=45
square root of 45 is 6.708203932 so 7.1 (1dp) is the answer

A car travels 55 miles per hour for 2 hours how far does the car travel in 1/2 of a hour 1 1/2 hour

Answers

Answer:

for a half an hour the car travels 13.75 miles

Step-by-step explanation:

Answer:

Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.

Step-by-step explanation:

1+86700009^5=. ………………………….

Answers

Answer:

4.89889×10^34

Step-by-step explanation:

1+86700009^5=1+3.89889×10^34=4.89889×10^34

What process do you use to find the percent change of a quantity?

Answers

First, we need to get the amount of change:
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = (

If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

Combining the two steps:
% of change = ( * 100

Examples:
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = (12-10)/(10) * 100 = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = (20-25)/(25) * 100 = -20%
This means that the temperature decreased by 20%

Hope this helps :)

Answer:

Step-by-step explanation:

First, we need to get the amount of change:

The amount of change can either be an increase or a decrease.

It can be calculated as follows:

amount of change = 

If the amount of change is positive, then it is an increase

If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:

Changing the amount into a percentage can simply be done by multiplying this amount by 100

This means that:

% of change = amount of change * 100

Combining the two steps:

% of change =  * 100

Examples:

The original price of a certain product was $10. It then became $12. Find the % of increase.

% of change =  = 20%

This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.

% of decrease =  = -20%

This means that the temperature decreased by 20%

Hope this helps :)

Length -12p + 4 width -7p + 10. Area ?

Answers

Answer:
84p^2-148p+40

A=LxW
=(-12p+4)(-7p+10)
=84p^2-148p+40
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