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Neporo4naja [7]

3 years ago

7

Find the distance between the pair of points.

1 answer:

SVEN [57.7K]3 years ago

8 0

Answer:

5.099

Step-by-step explanation:

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Find the slope of 8x-y=40

suter [353]

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Find y:
8x-y=40
y = 8x - 40
slope = 8

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In how many ways can you place the three kangaroos in three different cells, out of the seven cells below, so that no two kangar

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Step-by-step explanation:

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3 years ago

Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a

Amanda [17]

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are $\mathbf{10\sqrt{10 },10\sqrt{10 }}$

The area is given as:

$\mathbf{A = 1000}$

Let the dimension be x and y.

So, we have:

$\mathbf{A = xy = 1000}$

Make x the subject

$\mathbf{x = \frac{1000}{y}}$

The perimeter is calculated as:

$\mathbf{P = 2(x + y)}$

Substitute $\mathbf{x = \frac{1000}{y}}$

$\mathbf{P = 2(\frac{1000}{y} + y)}$

Expand

$\mathbf{P = \frac{2000}{y} + 2y}$

Differentiate

$\mathbf{P' = -\frac{2000}{y^2} + 2}$

Set to 0

$\mathbf{ -\frac{2000}{y^2} + 2 = 0}$

Rewrite as:

$\mathbf{ -\frac{2000}{y^2} = -2}$

Divide both sides by -1

$\mathbf{\frac{2000}{y^2} = 2}$

Multiply y^2

$\mathbf{2000 = 2y^2}$

Divide by 2

$\mathbf{1000 = y^2}$

Take square roots of both sides

$\mathbf{y = \sqrt{1000 }}$

$\mathbf{y = 10\sqrt{10 }}$

Substitute $\mathbf{y = \sqrt{1000 }}$ in $\mathbf{x = \frac{1000}{y}}$

$\mathbf{x = \frac{1000}{\sqrt{1000}}}$

$\mathbf{x = \sqrt{1000}}$

$\mathbf{x = 10\sqrt{10 }}$

Hence, the dimensions that minimize the perimeter are $\mathbf{10\sqrt{10 },10\sqrt{10 }}$

Read more about perimeters at:

brainly.com/question/6465134

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you have seven packages of paper towels. Some packages have three rolls, but some only have one roll. There are 19 rolls altoget

Vanyuwa [196]

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3package of 3 and 10 single roll package

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4 years ago

Hey guys! help me please

Dvinal [7]

Answer:

i doing this it is one

Step-by-step explanation:

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