Divide and simplify to the form a+bi. 5+6i 5+6i 6+ i (Simplify your answer. Type an integer or a fraction. Type your answer in the form a+bi.)
Answers
Answer:
Step-by-step explanation:
We need to evaluate
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
=
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)
=
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
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Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8.25 pounds, 9.25 pounds, 8.875 pounds, 9.625 pounds and 10.75 pounds. At the party, 153 people each ate a 0.25 pound serving of watermelon. Was the amount of leftover watermelon less than, greater than, or equal to 8.5 pounds? Explain how to solve the problem.
Answers
6 : 24
1 : 4
The answer is 1 : 4
Hope this helps.
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8
Answers
Final answer:
The correct option is c.
The total length, or perimeter, of the trapezoid is calculated by adding the lengths of its sides. Once we add and simplify the like terms, we find that the expression representing the perimeter of the trapezoid is 15x + 6.
Explanation:
The perimeter of a shape is calculated by adding up the lengths of all its sides. In the case of a trapezoid with sides of length: 5x, 2x - 1, 2x + 3, 6x + 4, the total length, or the perimeter, would be the sum of these four sides.
To calculate the perimeter, we simply add the lengths of the sides: 5x + (2x - 1) + (2x + 3) + (6x + 4).
When we simplify this, we first combine like terms, which are the x's and the constants. Combining the x terms 5x, 2x, 2x, and 6x gives us 15x. Next, we combine the constants -1, 3, and 4 which gives us + 6. Therefore, the expression representing the perimeter of the trapezoid is 15x + 6, that is answer option c.
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The complete question is:
Which expression represents the perimeter of the trapezoid whose length of sides are:
5x, 2x - 1, 2x + 3, 6x +4
a. 11x + 4
b. 4x + 2
c. 15x + 6
d. 13x + 8
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6
Answers
Answer:
8 inches
Step-by-step explanation:
90 miles -------------> represented by 3 inches
1 mile -------------> represented by 3/90 inches
240 miles ----------> represented by 3/90 x 240 = 8 inches
Answers
Since you start with 52 cards, and are drawing 3 cards you multiply 52 * 51 * 50 then divide that product by 3 * 2 because it doesn’t matter what order the cards are drawn in. 52 * 51 * 50/ 3 * 2 = 22,100 different combinations of 3 cards
...hope it helps you...all the best
Answers
The word phrase "sixteen times the sum of 10p and seventeen" can be translated into the following algebraic expression 16(10p + 17)
The word "sum" means that we add 10p and 17. The word "times" means that we multiply the sum by 16.
Therefore, the algebraic expression 16(10p + 17) represents the phrase "sixteen times the sum of 10p and seventeen".
Here is a step-by-step translation:
Break the phrase "sixteen times the sum of 10p and seventeen" into smaller parts.
Translate each part into an algebraic expression.
Combine the algebraic expressions into a single expression.
The translated expression is 16(10p + 17).
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Answers
Converting the number into expanded form which will give you 10,000.
Answer:
40,000
Step-by-step explanation: