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3 years ago

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Mathematics

1 answer:

Kobotan [32]3 years ago

7 0

$h = \sqrt{ 1^{2} + 1^{2} } = \sqrt{1+1} = \sqrt{2}$

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Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.

kondaur [170]

Th matrix is missing. The matrix is :

$\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}$

Solution :

The column of the matrix are $\begin{bmatrix}1\\ -4\end{bmatrix}$ , $\begin{bmatrix}-4\\ 16\end{bmatrix}$ , $\begin{bmatrix}4\\ 4\end{bmatrix}$

Now each of them are vectors in $IR^2$ . But $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the $\text{linearly independent set}$ as the set contains $\text{more vectors}$ than there are entries in each vector.

Therefore, option (D) is correct.

4 0

3 years ago

SVETLANKA909090 [29]

You should try C I’m not sure but try I guess!

4 0

2 years ago

Read 2 more answers

Please help with math

kykrilka [37]

Answer:

2nd option, x > 1.10

Step-by-step explanation:

$7e^{2x}-5 > 58$

Add 5 to both sides,

$7e^{2x}-5+5 > 58 +5\\7e^{2x} > 63$

Divided both sides by 7,

$\frac{7e^{2x}}{7} > \frac{63}{7}$

$e^{2x} > 9$

Apply Exponent Rule,

$2x > 2ln(3)$

$\frac{2x}{2} > \frac{2ln(3)}{2}$

x > ln(3) or x > 1.09861

Learn more about logarithms here: brainly.com/question/12049968

5 0

2 years ago

What are least common multiples

Dvinal [7]

A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, .... The least common multiple (LCM) of two numbers is the smallest number (not zero) that is amultiple of both.

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4 years ago

Read 2 more answers

Do you always eat breakfast?

dybincka [34]

Answer:

unbias

Step-by-step explanation:

Not asking specific group or person.

3 0

3 years ago