X^2 - 20x= -2x - 80 what is the intermediate step

Ksju [112]

Answer:

Step-by-step explanation:

I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.

If this is incorrect, post the diagram.

6 0

2 years ago

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0

1 year ago

I NEED IT NOW!!! I ALSO NEED YOUR WORK OF HOW YOU GET YOUR ANSWER !! THANK YOU!

Mars2501 [29]

Answer:

Solve the rational equation by combining expressions and isolating the variable

x

.

All real numbers

Interval Notation:

−∞,∞)

Step-by-step explanation:

3 0

2 years ago

List from least to greatest 0.25,3/8,5/16

marta [7]

---------------------------------------------
Present the numbers in decimal
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0.25 = 0.25
3/8 = 0.375
5/16 = 0.3125

<span><em>(It is easier to arrange the number using decimals)</em>
</span>
---------------------------------------------
Arrange the numbers
---------------------------------------------

0.25 (0.25) , 0.3125 (5/16) , 0.0375 (3/8)

<em>(Put the original numbers given in your final answer)</em>

---------------------------------------------
Answer: 0.25 , 5/16 , 3/8
---------------------------------------------

6 0

2 years ago

A grocer had 14 boxes each containing 24 packets of macaroni. An employee repacked all the packets into packs of six. Calculate

nikklg [1K]

Answer:

56 packs

Step-by-step explanation:

1) (14*24 ) - packets of macaroni altogether.

2) repack into packs of 6.

(14*24)/6 = 56 packs

6 0

3 years ago