A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had an area of 200 by 300 meters ,what is the value x?

Answers

Answer 1

Answer:

  x = 100

Step-by-step explanation:

The larger area is ...

  A = LW

  A = (300+x)(200+x) = x^2 +500x +60,000

The smaller area is ...

  A = (200)(300) = 60,000

We want the larger area to be double the smaller area, so ...

  x^2 +500x +60,000 = 2(60,000)

  x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000

  x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square

  (x +250)^2 = 350^2

We're interested in the positive solution, so we can take the positive square root to find it:

  x +250 = 350

  x = 100 . . . . . . . . . subtract 250

_____

The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.

A Plot Of Land Doubles In Size By Adding X Meters To The Length And X Meters To The Width Of The Land?if

Related Questions

If RV = x+6, US = 5x-9, and RS = 11, find VT and ST

Answers

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

RV = x + 6US = 5x - 9RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

2RV = RT = US

[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]

Learn more about Pythagoras theorem here:  https://brainly.com/question/12306722

Please help me Find the slope and please help me no links or bots please and thank you please actually help

Answers

Answer: slope for that is 1/2

Step-by-step explanation: rise over run y2-y1 x2-x1

Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches

___in.

Answers

Answer:

60

Step-by-step explanation:

your welcome

A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.

Answers

1, 2, 4, and 5 are all correct.

Maya has to type a document of 2160 words. The graph below shows her initial progress. If
she continues at the same speed, how much time will Maya take to type the document?

Answers

The time it takes to type the document increases proportionately to the

number of words in the document.

The time it would take to type the document is; 36 minutes

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

Learn more about proportional functions here:

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y=6x-17 -12x+2y = -34 ??

Answers

Carry learning!

Stay safe!

Study hard!

how to find the circumcenter of a triangle with given vertices

Answers

Answer:

What is the formula of area of Circumcircle?

Image result

We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.

Step-by-step explanation:

Solve for “x.”
9x = 912.6

Answers

Answer:

If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...

Step-by-step explanation:

sorry if im wrong

What is the value of y in the formula show when x=4/5

Answers

Answer:

there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8    hope that helps

Step-by-step explanation:

what is the answer to this question 1.6x + 30

Answers

what are you trying to find ?

A storage container leaks water at a rate of 15 gallons every 30 days.

What is the unit rate in gallons per week?

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

i think 3.5 gallons per week

[tex]3 \frac{1}{2} [/tex]

Step-by-step explanation:

15 gallons every 30 days

x gallons per weeks (7 days)

15×7 = 30x

105 = 30x

105/30 = x

3.5 = x

answer as a mixed number in simplest form = 3 1/2

Answer: The answer is 3 1/2

Step-by-step explanation:

I took the quiz and did 100% :)

Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.

Answers

Answer:6x + 4 + 2yStep-by-step explanation:x2 + 2x + 1 + y2 + 2x + 3=> 2x + 2x + 1 + 2y + 2x + 3=> 4x + 1 + 2y + 2x + 3=> 6x + 1 + 2y + 3=> 6x + 4 + 2yConclusion:

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

What is a polynomial equation?

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

To learn more about polynomial equations refer to:

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Freddie swam 5/7 laps on Monday, Tuesday, and Wednesday. 1/4 laps on Thursday and Friday. How many laps did he swim in total?

Answers

Answer: 27/28 or 0.9642857

   

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

branliest




Solve.

−4/15x=1.44

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

15

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

The value of x for the given equation in the mixed fraction will be -4 7/5.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]

It is given that,−4/15x=1.44

Solve the equation for x,

x= -1.44 × 15/4

Convert the decimal values into the fraction as

x=-144/100 × 15/4

x= -27/5

A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as

x=-4 7/5.

Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.

Learn more about the equation here,

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Find the 12th term of the geometric sequence.
15, 30, 60, ...

Answers

⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880 .

Answer:

465

Step-by-step explanation:

The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.

hellp meeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

yasss its C

If (6^2]^p = 6^10, what is the value of p?
A.) 2
B.) 3
C.) 4
D.) 5

Answers

If u raise a power to another power, then u multiply the powers. In this case, u can simplify to 6^2p =6^10

Now you have like bases, so you can set the powers equal to each other. So now, 2p=10. Now p=5

Find the y-intercept of the line: x + 4y + 8 = 0

Answers

Answer:

(0,-2)

Step-by-step explanation:

Pls explain how to solve this elimination problem!!

Answers

Multiply the second equation by -2. This will cancel out the y

this question


please help please

m=n+4b

Answers

Answer:

m=n+4b:- b=m-n/4.........

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

Order the side lengths from least to greatest.

Answers

Answer:

38, 40, and 102

Step-by-step explanation:

when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102

Use a Quadratic formula to solve for X

3x^2+9x=-4

Round to the nearest hundreth.

Answers

The answer should be X= -9 -/33\6
That should by the answer but I couldn’t find how to round it up sorry

In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?

Answers

There are 168 black cubes in the arranagement.

A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.

To get the number of black cubes in the arrangement, we will use the equation below;

Number of black cubes = Total number of black cubes on a face * number of small cubes along the edgeNumber of black cubes = 24 * 7Number of black cubes = 168

Hence there are 168 black cubes in the arrangement.

Learn more about cubes at https://brainly.com/question/1972490

Find x, given the slope is -2. (x,-6) (-6,10)

Answers

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?

Answers

Answer: The answer is 10 feet of cable.

What is the value of the expression when h = 5? h + 7

Answers

Answer:

12

Step-by-step explanation:

if h=5

then h+7 = 5+7 = 12

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]

what is 2 2/3 - (-3 2/6)

Answers

Answer:

6

Step-by-step explanation:

A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?

Answers

a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)

Where:

[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.

If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:

[tex]\Delta x = (2)\cdot (3)[/tex]

[tex]\Delta x = 6\,mi[/tex]

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)

If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:

[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]

[tex]\Delta x \approx 22.283\,mi[/tex]

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.

[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)

If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:

[tex]\bar v = \frac{22.283}{9}[/tex]

[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]

The average velocity of the girl is approximately 2.476 miles per hour.

To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060

NEED HELP PLZ HELP ME ….

Answers

Answer:

R= -0.95

Step-by-step explanation:

HOPE THIS HELPS :)

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