Can someone please help me I really need help

Mathematics

1 answer:

katrin2010 [14]2 years ago

7 0

Note: When dealing with the coordination change when the figure is in the state of reflection through x-axis, <em>only switch the signs of the y values</em>.

T(-1,-10) → T'(-1,10)

U(-1,-1) → U'(-1,1)

V(8,-2) → V'(8,2)

W(8,-10) → W'(8,10)

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allsm [11]

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7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

natali 33 [55]

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Answer:

7. d. l = 6.48 cm, w = 6.48 cm

8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.