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3 years ago

K² = 76What is the answer?

Mathematics

2 answers:

Simora [160]3 years ago

6 0

Answer:

± 8.7178 or ± the square root of 19

Step-by-step explanation:

Solve : k2-76 = 0

Add 76 to both sides of the equation :

k2 = 76

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

k = ± √ 76

Can √ 76 be simplified ?

Yes! The prime factorization of 76 is

2•2•19

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 76 = √ 2•2•19 =

± 2 • √ 19

The equation has two real solutions

These solutions are k = 2 • ± √19 = ± 8.7178

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.

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3 years ago

Find the least common denominator for these

baherus [9]

Answer:

The least common denominator of the two rational expressions is $(x+2)^{2}\cdot (x+3)$ .

Step-by-step explanation:

Let be the following rational expressions:

$\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}$

Then, we factor each denominator:

$\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}$

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

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3 years ago

Eric has $25 to purchase magazines and to pay for his lunch. Each

faust18 [17]

Answer:

Step-by-step explanation:

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3 years ago

Given the function:

anyanavicka [17]

You are correct. The answer is choice D

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(2) g ' (x) is continuous at x = 0

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So the piecewise function becomes
$g(x) = \begin{cases}x+1 \ \text{ if } \ x \ < \ 0\\ \cos(x) \text{ if } \ x \ge 0\end{cases}$
after plugging in b = 1

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

Now differentiate each piece with respect to x to get
$g'(x) = \begin{cases}1 \ \text{ if } \ x \ < \ 0\\ -\sin(x) \text{ if } \ x \ge 0\end{cases}$
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Because -sin(x) = -sin(0) = 0

So there's this disconnect on g ' (x) meaning its not continuous

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3 years ago

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zlopas [31]

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4 years ago

Read 2 more answers

K² = 76What is the answer?​

K² = 76What is the answer?