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BARSIC [14]
2 years ago
7

Simplify the expression

Mathematics
1 answer:
damaskus [11]2 years ago
3 0
First, simplify the denominator into 1+3i. Then multiply both the numerator and denominator by 1-3i to rationalize the denominator. Then, the numerator becomes i+3, and the denominator becomes 10. So, the first answer is correct.
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Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
natima [27]
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
2 years ago
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
Leviafan [203]
49/10:14/5 is your answer
5 0
2 years ago
Solve x2 - 16x + 60 = -12 by completing the steps.
Vadim26 [7]

Answer:

12

Step-by-step explanation:

x² - 16x + 60 = -12

→ Add 12 to both sides

x² - 16x + 72 = 0

4 0
2 years ago
Please help. Evaluate 5(n+3)-7n , when n = 6
never [62]

Answer:

3

Step-by-step explanation:

because if N = 6, then you will have to substitute the n to n and then do the order of operation. first it will be 6+3=9 and then 9*5=45. then you will do 7*6=42 and then subtract 45-42=3

5 0
2 years ago
Read 2 more answers
Does the fraction 1/2 make the equation +6/6=3/2 true?
dolphi86 [110]

Answer:

Yes

Step-by-step explanation:

1/2 + 6/6

= (1*3)/(2*3) + 6/6

= 3/6 + 6/6

= 9/6

= 3/2

So the fraction 1/2 make the equation true.

7 0
2 years ago
Read 2 more answers
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