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2 years ago

What is the slop of the line y = 3

Mathematics

2 answers:

CaHeK987 [17]2 years ago

8 0

Answer:

the slope of y = 3 is 0

Step-by-step explanation:

we can use the acronym VUX/HOY to remind us about the properties of a certain line

Vertical line

Undefined slope

X axis

VUX means that a line passing x = b will have an undefined slope and will be a vertical line

Horizontal line

0 slope

Y axis

HOY means that a line passing through y = b will have a slope of 0 and will be a vertical line

Otrada [13]2 years ago

5 0

3/1 is the slope of the line

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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2 years ago

Use the net to find the lateral area of the prism. 15 m 3 m 6 m 3 m 6 m

postnew [5]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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lbvjy [14]

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