First, you solve the square root:

$9+ \sqrt{-4}$

Knowing that the square root of a negative number doesn't exist:

$9+ \sqrt{-4}$
$9+2i$ is your answer.

Hope it helped,

Happy homework/ study/ exam!

4 0

3 years ago

Find the range of possible measures of x if each set of expressions represents measures of the sides of a triangle.

sergiy2304 [10]

Answer:

C. x > 3/2

Step-by-step explanation:

<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>

x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2

<u>Common solution of the three inequalities above is:</u>

x > 3/2

Correct choice is C

8 0

2 years ago