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luda_lava [24]
4 years ago
8

HELP PLEASEEEEEEEEEEEEEEEE

Mathematics
1 answer:
Dimas [21]4 years ago
8 0
Since you already know that x is equal to -5, you just need to plug it in to get y. You should get that y= -8.
(-5, -8)
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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

8 0
3 years ago
Find the surface area of the right rectangular shown below hurry plss
laila [671]

Surface area of a cuboid

= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]

= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²

= (20 + 10 + 16) units²

= 46 units²

7 0
3 years ago
Read 2 more answers
A 75% increase followed by a 33 1/2% decrease​
o-na [289]

After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by 33 \frac{1}{2} \% that is 33.5%.

Let’s assume initial value be represented by variable x.

75 \% \text { decrease means } x+75 \% \text { of } x=x+\frac{75}{100} x=x+0.75 x=1.75 x

Now there is decrease of 33.5%

\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}

\text { So increase in percentage }=\frac{\text { final value-initial value}}{\text { intial value }}

=\frac{1.16375 x-x}{x} \times 100=16.375 \%

Hence after 75% increase followed by a 33 \frac{1}{2} \% decrease the net increased is 16.375%.

8 0
3 years ago
Divide.
prisoha [69]
D) . -100 is the answer, but if you do it the calculator wayy it's likee thiss,



the way i waa taught wass this  beloww ↓


   20       1
   __  / ( -_ )
  
   1         5 

 that will givee youu, -0.2 witch leadss too -100


   -hope this helps .
5 0
3 years ago
Read 2 more answers
What number comes next in this sequence? 1 2 8 48 384 ___? Is it 786 1536 720 580 or 3840?
pychu [463]
It would be 3840. The pattern is: x2, x4, x6, x8, x10. Hope that helps! :) :D
8 0
3 years ago
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