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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Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
The correct answer for this question is this one:
<span>On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .
What is AC ?
3 cm
<u>6 cm</u>
9 cm
12 cm</span>
If you try to draw the triangle, it forms an isosceles triangle.
side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.
Hope this helps answer your question and have a nice day ahead.
I think it would be 2 because it looks like 6 is the total and 3 is a side number so if you were to multiply 3 times 2 it would be 6. I hope this is correct!
Answer:
first one: function
second one: not a function
third one: not a function
fourth one: not a function
Step-by-step explanation:
it is never a function if two of the x inputs are the same or if one x input has two y outputs..
<em>Hope this helps!! Pls mark me brainliest!!</em>
