Write a polynomial that represents the length of the rectangle help please !!

Mathematics

1 answer:

disa [49]2 years ago

5 0

Answer:

$\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units$

Step-by-step explanation:

Area of a rectangle = width × length

Therefore, to find the length of the rectangle, we need to divide the area by the width.

Using long division:

$\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}$

Therefore, the <u>length</u> of the rectangle is:

$0.8x^2-0.7x+0.7$

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If A={1 2 3 3} B=( 2 ,3,5,7) FIND A_B AND B-A<br>

olga_2 [115]

Step-by-step explanation:

A-B ={1}

B-A ={5,7}

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3 years ago

Solution:17.Graph each system and determine the number of solutions that it has. If it has one solution,name it.B. 2x-y=1y=-3

mario62 [17]

Part A)

First, draw the graph of each of the given equations:

The graph of x+2y=4 is shown as a solid, orange line.

The graph of y=(-1/2)x+2 is shown as a dotted, blue line.

Notice that both graphs overlap.

A solution to the system of equations is a point shared by the graph of both lines. In this case, since both lines overlap, every point on the lines is a solution to the system of equations.

Therefore, the system has infinitely many solutions.

Part B)

The graph of 2x-y=1 is shown in green, and the graph of y=-3 is shown in purple:

As we can see, both lines intersect at (-1,-3).

Therefore, this system has one solution. The solution is (-1,-3).