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Igoryamba
3 years ago
10

Please help answer this the best you can for brainlst <3

Mathematics
2 answers:
kow [346]3 years ago
4 0

Answer:

Independant: b

Dependant: d

I hope this helps! If it does, please mark my answer brainliest. I need it to level up! <3

Dmitry [639]3 years ago
4 0

Answer:

independent b dependent d

Step-by-step explanation:

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Let y = (2 6) and u = (7 1). Write y as the sum of a vector in Span(u) and a vector orthogonal to .
Minchanka [31]

The question is missing. Here is the complete question.

Let y = \left[\begin{array}{ccc}2\\6\end{array}\right] and u = \left[\begin{array}{ccc}7\\1\end{array}\right]. Write y as the sum of a vector in Span(u) and a vector orthogonal to u.

Answer: y = \left[\begin{array}{ccc}\frac{21}{10} \\ \frac{3}{10} \end{array}\right] + \left[\begin{array}{ccc}\frac{-1}{10}\\ \frac{57}{10} \end{array}\right]

Step-by-step explanation: The sum of vectors is given by

y =  y_{1} + z

where  y_{1} is in Span(u);

vector z is orthogonal to it;

First you have to compute the orthogonal projection y_{1} of y:

y_{1} = proj y = \frac{y.u}{u.u}.u

Calculating orthogonal projection:

\left[\begin{array}{c}2\\6\end{array}\right].\left[\begin{array}{c}7\\1\end{array}\right] = \left[\begin{array}{c}9\\6\end{array}\right]

\left[\begin{array}{c}7\\1\end{array}\right].\left[\begin{array}{c}7\\1\end{array}\right] = \left[\begin{array}{c}49\\1\end{array}\right]

y_{1} = \frac{9+6}{49+1}.u

y_{1} = \frac{15}{50}.u

y_{1} = \frac{3}{10}.u

y_{1} = \frac{3}{10}.\left[\begin{array}{c}7\\1\end{array}\right]

y_{1} = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]

Calculating vector z:

z = y - y_{1}

z = \left[\begin{array}{c}2\\6\end{array}\right] - \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]

z = \left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]

Writing y as the sum:

y = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right] + \left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]

5 0
3 years ago
Please Help! Will mark Brainliest for correct answer! 12 POINTS!
uranmaximum [27]
It's the second one for sure
6 0
3 years ago
Please someone help me no one willl
vladimir1956 [14]

Answer:

2/36 (5.556%)

I believe so correct me if I am wrong

4 0
4 years ago
Which method(s) can be used to solve a system of equations? Select all that apply.
jek_recluse [69]

<u>Out of all given equations, the following methods can be used to solve a system of equations:</u>

  • graphing
  • substitution
  • addition

Answer: Option B, C, and E

<u>Step-by-step explanation:</u>

There are three methods of solving the system of equations as follows:

  • Elimination (addition) method
  • Graphic method
  • Substitution method.

Substitution method: This involves solving one of the variable equations (depending on what you choose) and putting it back into the other equation and "substituting" for the selected variable and resolution for the second. Then solve the first variable again.

Elimination method: This method for solving systems of equations is also known as the addition method. To solve the equation systems by adding or subtracting from the equations to cancel out the common variables

Graphic method: It is used to find a solution to two linear equations. First, expand each equation by “y = ” or replace each equation by y = mx + b. Convert the equations to y = mx + b and prepare a function table.

3 0
3 years ago
Show all work, please!!!
horrorfan [7]

Answer:

90

Step-by-step explanation:

How many zero can be found in the answer and why? Hi, I want to write ^ to designate powers so I will write 50^20 for 50 power of 20. Since no power of two ends with a zero the number of zeros in (50^20)(20^50) is 90.

3 0
3 years ago
Read 2 more answers
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