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Answer:
Step-by-step explanation:
The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)
a) the sign of 3i is changed: 2 + 3i
b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5
c) the sign of 2i is changed: 7 +2i
d) the sign of sqrt(7) is changed: 4 +√7
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‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.
Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.
#2: 4 cans : $2.36 = 13 : $7.67 SCALE FACTOR: $7.67 divided by $2.36 = 3.25
Use the SF to multiply the missing information.
So 4 cans x 3.25 = 13
YOU CAN BUY 13 CANS FOR $7.67
#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes = : : 35 pancakes
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7
7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES
#6: 54 pounds: 1 acre = pounds: 12.5 acres
SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds
THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD
#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours)
SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)
IT WILL TAKE 5 HOURS TO DRIVE 225 MILES
The total number of ways by words are formed is 35 ways.
According to the statement
We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.
And we have to find the possible ways.
So, The given words are:
TEXAS and MEXICO
Here X = 2 and E = 2 and all other words are one time used words.
We can find possible ways by use of combination and permutation.
So,
Total number of ways = 
here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.
So,
Total number of ways =
Total number of ways = 
Total number of ways = 
Total number of ways = 15 + 20
Total number of ways = 35.
So, The total number of ways by letters are formed is 35 ways.
Learn more about combination and permutation here
brainly.com/question/11732255
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Answer:
3
Step-by-step explanation:
down 3 over 1 3/1 or 3.
Hope this helps plz hit the crown ;D
Answer:
Step-by-step explanation:
to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.
2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)
2(3) + 3 < 12 3(3) - 2(3) > 2
6 + 3 < 12 9 - 6 > 2
9 < 12....true 3 > 2....true
(3,3) lies in the solution set <==
