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Katen [24]
3 years ago
13

My assignment says The perimeter of a rectangle is 30 cm.

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0
Let side be "a" cm. So another side is (30-2a)/2=15-a
S=ab=a(15-a)=15a-a^2 - parabola
maximum when  a =  -15/-2=7.5 cm 
When a=7.5 all sides are 7.5 cm 
So it's a square. S=a*a=7.5*7.5=56.25 cm^2 - max
There is no global minimun for S.(look at the graphic)

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3 years ago
A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.
snow_lady [41]

Answer:

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Step-by-step explanation:

We will have to find the slope of the line first

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m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

y= \frac{4}{3}x+b

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

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Putting the value of m and b in the standard form of equation of line,

y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0 ..

7 0
3 years ago
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Answer:

Step-by-step explanation:

9. Abby has a tree that is 10 feet long. She cuts the length of the tree into tenth and then cuts the length of each of these 1/10 pieces into fourth. How many pieces does he have? How many feet long is each piece?

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Answer: 0.4

Step-by-step explanation:

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