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Artemon [7]
3 years ago
9

A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th

e length and the width.
Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = 384\ m

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

perimeter=2\times(length+width)

Now substituting the values, we get;

384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114

Width = 114\ m

Length = x-36=114-36=78\ m

Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

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Lexi2984 can u help me with this question
arsen [322]

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

<u><em>X-intercept</em></u>

Set y = 0 and divide by the coefficient of x.

  -x +0 = 8

  x = -8

__

<u><em>Y-intercept</em></u>

Set x = 0 and divide by the coefficient of y.

  0 -2y = 8

  y = -4

__

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

7 0
3 years ago
Can someone please help I will be giving Brainliest to whoever can answer :)
storchak [24]

The inequalities are matched with their correct graph respectively as follows:

  1. D ⇒ {(x, y): y > x²}.
  2. G ⇒ {(x, y): y ≥ x²+ 3
  3. C ⇒ {(x, y): y ≤ 3x² + 2}
  4. A ⇒ {(x, y): y ≥ 2x² - 5x + 1}
  5. J ⇒ x²- 3x ≥ 0
  6. H ⇒ x² - 3x + 2 ≤ 0
  7. B ⇒ {(x, y): y ≤ 1 - x²}
  8. B ⇒ {(x, y): y ≥ -1}

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

6 0
1 year ago
Hint: Plug each number into the formula a^2 + b^2 = c^2. Then see which set of numbers balances out.
Anni [7]

Answer:

A

Step-by-step:

a^2+ b^2 = c^2

if we try A

6^2+8^2 = 10^2 => 64+36  = 100

7 0
2 years ago
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kifflom [539]

Answer:

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Step-by-step explanation:

to find the inital peanuts, we multiply 32 ounces by 3/10 or 0.3. then we add x which are peanuts as well. that makes 0.3 x 32 + x. this is our total peanuts. to find the percantage, we find the whole mixture which is now 32 + x, divide peanuts by the whole mixture and multiply by 100.

5 0
3 years ago
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The position of an object at time t is given by s(t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivati
katrin2010 [14]
Given the position function
s(t) = 7 - 14t

The instantaneous velocity is the derivative the the position function:
s'(t) = v = - 14

The velocity in an instant in time is 14 m/s in the opposite direction.
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3 years ago
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