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-Dominant- [34]
2 years ago
9

Amanda needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 3/4 feet from one end of

the board. She then cuts the remaining section of board into 4 equal pieces.
1 3/4x−4=10

1 3/4x+4=10

4x−1 3/4=10

4x+1 3/4=10
Mathematics
1 answer:
kirza4 [7]2 years ago
3 0
4x+1 3/4=10 because the 1 3/4 doesn’t have an x since it is not a variable but rather a constant.
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Answer:

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Step-by-step explanation:

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So we get 2 *√3/2 + 1 + 1/4

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3 years ago
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Please help
user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

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720 = x²+6x

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As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

=  \frac{ - b ±  \sqrt{{b}^{2} - 4ac}  }{2a}  \\ =   \frac{ - 6 ±   \sqrt{{6}^{2} - 4 \times 1 \times  - 720}  }{2}  \\ =    \frac{ - 6 ±  \sqrt{36 + 2880} }{2}  \\  =   \frac{ - 6 ±  \sqrt{2916} }{2}  \\  =   \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2}  \\  =  \frac{48}{2} ... \frac{ - 60}{2}  \\  = 24... - 30

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

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refer to the image given below:

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