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steposvetlana [31]

2 years ago

15

Write the augmented matrix for each system of equations. 9x-4y-5z=9 7x+4y-4z=-1

2 answers:

Masja [62]2 years ago

6 0

Answer:

The augmented matrix is:

$\begin{bmatrix}9 & -4 & -5 & |9\\ 7 & 4 & -4 & |-1\end{bmatrix}$

Step-by-step explanation:

<u>Augmented matrix:</u>

It is a matrix form of a linear system of equations obtained from the coefficient matrix. It is created by adding an additional column of for the constants on the right hand side of the equal sign.

Here we are given a system of linear equations as:

$9x-4y-5z=9$

and $7x+4y-4z=-1$

Hence, the augmented matrix formed is as follows:

$\begin{bmatrix}9 & -4 & -5 & |9\\ 7 & 4 & -4 & |-1\end{bmatrix}$

lakkis [162]2 years ago

4 0

$\left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\end{array}\right]$

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Damm [24]

Answer:

$\huge{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}$

Step-by-step explanation:

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3 years ago

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SOVA2 [1]

Answer:
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8 0

3 years ago

Find the projection of u onto v<br> URGENT HELP

padilas [110]

Given:

Two vectors are:

$u=\left$

$v=\left$

To find:

The projection of u onto v.

Solution:

Magnitude of a vector $v=\left$ is:

$|v|=\sqrt{a^2+b^2}$

Dot product of two vector $v_1=\left$ and $v_2=\left$ is:

$v_1\cdot v_2=a_1a_2+b_1b_2$

Formula for projection of u onto v is:

$Proj_vu=\dfrac{u\cdot v}{|v|^2}v$

$Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left$

$Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left$

$Proj_vu=\dfrac{0+102}{293}\left$

On further simplification, we get

$Proj_vu=\dfrac{102}{293}\left$

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3 0

3 years ago

51 is 15% of what number?

jeka57 [31]

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3 years ago

an equilateral triangle has an altitude length of 15 m. what is the perimeter of the triangle (1 point )

klemol [59]

Answer:

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3 years ago