The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
<h3>How to simplify the expression?</h3>
The expression is given as:
(7 + 9i)(8 - 10i)
Expand the bracket
7 * 8 + 9i * 8 -7 * 10i - 9i * 10i
Evaluate the products
56 + 72i -70i - 90(i²)
Evaluate the difference
56 + 2i - 90(i²)
In complex numbers;
i² = -1
So, we have:
56 + 2i - 90(-1)
Evaluate
56 + 2i + 90
Add the like terms
146 + 2i
Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
Read more about complex numbers at:
brainly.com/question/10662770
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Children ticket price=£9
Adult ticket price=£17
Let adult=A
Children=C
So, 2A+3C=61 (equation 1)
3A+5C=96(equation 2)
Multiply equation 1 by 3 and equation 2 by 2
Solve equations and get the answer.
It will take 2 years.
Year 1 :
4% 2.5k = 2.5k/100 × 4 = $100 in interest
$2.5k + $0.1k = $2.6k
Year 2 :
4% 2.6k = 2.6k/100 × 4 = $104 in interest
$100 + $104 = $204 > $200
There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
Answer:Lowest is 3, highest is 9
Step-by-step explanation:
Answer:
The answer is
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Step-by-step explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
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where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, -9), (-6, -6)
The midpoint is
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We have the final answer as
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Hope this helps you