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Anit [1.1K]
3 years ago
13

In triangle CDE, CD= 12 , DE=5, and m What is m

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
If you could show a photo I could answer the question
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How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
8 0
3 years ago
PLEASE HELP ME AS SOON AS POSSIBLE
tatyana61 [14]

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
What is 76.3 rounded to the nearest whole number
MatroZZZ [7]
76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.
6 0
3 years ago
How to use denominators when comparing two fractions with the same numerators
Sholpan [36]
What you would do is take the denominators and multiply them by each other, then multiply the numerators by that same number. So like 4/10 and 4/9. You would say, (denominators) 10x9=90 and (numerators) 4x9=36. So your first fraction would be 36/90. Next, you would take (denominators) 9x10=90 and (numerators) 4x10=40. So your second fraction would become 40/90. Now it's a lot easier to compare. 36/90 < 40/90 would be the answer to my problem. I hope I helped!
4 0
3 years ago
Read 2 more answers
Choose the appropriate table for the differential equation dy/dx=x+1/x
kenny6666 [7]

Answer: 1.

x |0|0.5|2

dy/dx |2|5 |undefined

2.

x |0 |0.5| 2

dy/dx |undefined|5 | 2

3.

x | 0 |0.5|2

dy/dx|undefined |4 |2

Step-by-step explanation:

7 0
2 years ago
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