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Natasha_Volkova [10]
3 years ago
6

The length of a rectangle is 3 units greater than its width. If the width is w, what expression gives the perimeter of the recta

ngle in terms of its width?
Mathematics
1 answer:
Andru [333]3 years ago
3 0

Step-by-step explanation:

let width be "w"

given,length of rectangle is 3 units greater than its width

length= w+ 3

perimeter of rectangle= 2( l+ b)

= 2[( w+3)+ w]

= 2(w to the power of 2 + 3w)

= 2w to the power of 2 + 6w

is the answer

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Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

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Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

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