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nevsk [136]
3 years ago
14

TRY IT

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

One possible solution is 5 + i√3.

(there are 2 solutions 5 + i√3 and 5 - i√3).

Step-by-step explanation:

(x - 5)^2 + 5 = 2

(x - 5)^2  = -3

Take square roots of both sides:

x - 5 = √-3

x - 5 = i√3

x = 5 ±  i√3.

The solutions are both complex numbers.

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Step-by-step explanation:

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4 years ago
Read 2 more answers
Esteban made the following drawing and then stated this conjecture the altitude of atriangle always lies inside of or along the
Radda [10]

Answer:

The error Esteban made that the altitude can be lie outside the triangle

Step-by-step explanation:

* Lets explain the position of the altitude in any triangles

- The altitude of a triangle is a line drawn from a vertex to the

  opposite side and perpendicular to it

- So altitude is the shortest distance from a vertex to its opposite side

- If the triangle is acute triangle, then its altitudes lie inside it

- If the triangle is obtuse triangle, the the altitudes of the sides of

 the obtuse angle lie out side it and the third altitude lies inside it

- If the triangle is right triangle, then the two sides of the right angle

 are altitudes of it and the third altitude lies inside it

- Look to the attached figures for more understand

∵ Esteban said  the altitude of a triangle always lies inside of or

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∴ The error Esteban made that the altitude can be lie outside

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5 0
4 years ago
Select all of the values of x that make the inequality -x+6= or grater than 10<br> true.
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Answer:

2/5

1

3/2

Step-by-step explanation:

<em>Note that:</em>

<em>> = Greater than</em>

<em>< = Less than</em>

<em>≤ = Less than or equal to</em>

<em>≥ = Greater than or equal to</em>

<em>Solution:</em>

<em>Since it given that 27/7n > 4/3</em>

<em>It means that</em>

<em>27/7n is greater than 4/3.</em>

<em>Now going through all answer choices:</em>

----------------------------------------------------------------------------------------------------------

<em>27/7(2/5) = 1 19/35</em>

<em>1 19/35 is greater than 4/3</em>

<em>Thus, 2/5 is true.</em>

----------------------------------------------------------------------------------------------------------

<em>27/7(1/3) = 1 2/7</em>

<em>1 2/7 isn't greater than 4/3</em>

<em>Thus, 1/3 is false.</em>

----------------------------------------------------------------------------------------------------------

<em>27/7(1) = 3 6/7</em>

<em>3 6/7 is greater than 4/3</em>

<em>Thus, 1 is true.</em>

----------------------------------------------------------------------------------------------------------

<em>27/7(2/9) = 6/7</em>

<em>6/7 isn't greater than 4/3</em>

<em>Thus, 2/9 is false.</em>

----------------------------------------------------------------------------------------------------------

<em>27/7(3/2)=5 11/14</em>

<em>5 11/14 is greater than 4/3</em>

<em>Thus, 3/2 is true.</em>

----------------------------------------------------------------------------------------------------------

<u><em>[Matthew1756654]</em></u>

5 0
2 years ago
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