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3 years ago

Simplify √ 105 A. 2√ 7 B. √ 42 C. 2√ 3 D. √ 105

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

√105 is written in simplest form already.

The answer would be D. √105

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

3.05 is greater than or less than 3.024

asambeis [7]

Answer:

3.024 is greater.

Step-by-step explanation:

3.05 is greater because it expanded is 3.050 vs. 3.024. 3.024 is closer to 1, so it's greater.

3 0

3 years ago

Bruh this kind of math is killing meeee idk if anyone can read that tho

AleksAgata [21]

Answer:

nope i can't im blind

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Express in words 18.01

galben [10]

What is the question?

5 0

3 years ago

Read 2 more answers

What is the volume of this rectangular

Basile [38]

<h3>Given:</h3>

l= 5 m
b= 4 m
h= 3 m

l= length
b= breadth
h= height

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

$\large\boxed{Formula:V=\frac{1}{3}lbh}$

First, multiply the length (5), breadth (4) and height (3).

$5×4×3$

$= 60 \: cm$

Now, divide 60 by 3.

$\frac{60}{3}$

$\large\boxed{V= 20 \: {m}^{3}}$

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

8 0

2 years ago