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Dmitrij [34]
3 years ago
11

What is the product of [x-(4+13i)][x-(4+13i)]

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

x^2 - (4+13i)^2

Step-by-step explanation:

This product has the form (a-b)(a+b), which is a 'special product' equal to a^2 - b^2.  Following this pattern, [x-(4+13i)][x-(4+13i)] = x^2 - (4+13i)^2.  The 2nd term could be expanded if desired, but the above result is the most compact one possible.


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What is the value of x?<br><br>A. 155°<br>B. 60°<br>C. 35<br>D. 25°​
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Answer: C

Step-by-step explanation:

First, you should see that the bottom right corner is an angle on the other side. So subtract 180 from 95 to get 85. Since all angles in a triangle add up to 180, You do 85 + 60 + x = 180. You simplify further to get 145 + x = 180.

Subtracting 145 from both sides leaves you with x = 35, which gives you C.

So C is the correct answer.

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Answer:

B would be (-1, -2)

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Step-by-step explanation:

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What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Svet_ta [14]

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

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The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

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