1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
2 years ago
9

A college is creating a new rectangular parking lot. the length is 0.17 mile longer than the width and the area of the parking l

ot is 0.039 square mile. find the length and width of the parking lot.
Mathematics
2 answers:
Zanzabum2 years ago
5 0
Let
x----------> the length of the <span>parking lot
</span>y----------> the width of the parking lot

we know that
x=0.17+y-------->equation 1
0.039 mi²=x*y---------> equation 2

substitute 1 in 2
0.039=[0.17+y]*y----------> 0.039=0.17y+y²-----> y²+0.17y-0.039=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is 
y=0.13 mi
x=0.17+y------> x=0.17+0.13------> x=0.30 mi

the answer is
 the length of the parking lot is 0.30 miles
 the width of the parking lot is 0.13 miles

Svetradugi [14.3K]2 years ago
4 0
Let's call the width of the parking lot w.
The length of the parking lot if .17 more than the width so the length is w + .17

The parking lot is rectangular so its area is found by multiplying the length and the width. That is, the area is equal to what we obtain when we multiply w by w+.17. The area is: A = w(w+.17)= w^{2} +.17w

We are also told that the area is equal to .039 square miles so we set the expression we obtained for the area equal to .039 as follows.

w^{2} +.17w=.039

Since w represents the width of the rectangular lot, we can solve this equation for w to find the width. This is a quadratic equation (the highest exponent of the variable w is 2). We solve these by setting them equal to zero and then using the quadratic formula.

Setting our equation equal to zero (subtract .039 from both sides) gives us:
w^{2} +.17w-.039=0

The quadratic formula is as follows. Since the equation is in terms of w we write it as "w = ..." instead of the usual "x = ..."

w= \frac{-bplusminus \sqrt{ b^{2} -4ac} }{2a}

The part I write as "plusminus" is typically written with a + sign over a - sign. For right now let's leave it at that. Later in the problem we will see what it means and what to do with it.

To use the formula we have to identify a, b and c.

a is the coefficient of the squared term. That is, the number in front of w^{2} which here is 1.

b is the coefficient of the linear term. That is, the number in front of w which here is .17

c is the constant (the number by itself0 which is -.039

So we have:
a=1
b=.17
c=-.039

We plug these into the quadratic formula to obtain:
w= \frac{-.17plusminus \sqrt{ .17^{2} -(4)(1)(-.039)} }{(2)(1)}
w= \frac{-.17plusminus \sqrt{ .0289+.156} }{2}
w= \frac{-.17plusminus \sqrt{ .189} }{2}
w= \frac{-.17plusminus.43} {2}

Here is where the "pluminus" comes in. We continue to simplify the expression on the right but we split it in two. In one case we use "plus" and in the other "minus". That is, we add in one and subtract in the other. This gives us:
w= \frac{-.17+.43}{2}= \frac{.26}{2}=.13
and
w= \frac{-.17-.43}{2}= \frac{-.6}{2}=-.3

w is the width of the rectangular lot so it is a distance and cannot be measured using negative numbers. The width of the rectangular must be positive so we disregard the negative answer.

The width of the rectangle is .13 miles

Recall that the length of the rectangle is .17 more than the width. That is, the length is w+.17 and as we know the width to be .13 miles the length is .13 + .17 = .3 miles

The answer therefore is:
width = .13 miles
length = .3


You might be interested in
Which of the following equations is of a parabola with a vertex at (0, -5)
Harlamova29_29 [7]

The x, which is zero in this case will always be the number that goes on the inside of the equation, so far you have y=(x+0)^2 or y=x^2.

The y, which is negative will go on the end of the equation. So you get y=x^2-5

The equation is y=x^2-5 or C if it is multiple choice

4 0
3 years ago
Read 2 more answers
A lollipop has a radius of 15m. Determine the diameter, circumference, and area of the lollipop.
Leokris [45]
The answers are:

Diameter: 30m
Circumference: 94.24777960769379
Area: 706.8583470577 m<span>2

I hope this helps you. Good luck with your work!</span>
6 0
3 years ago
Which one has a greater value, , -7 + (-7) or -7 - (-7)? Explain your answer. GIVING BRAINLIEST!!!
dmitriy555 [2]
-7 -(-7) because it will equal zero and the other one will be -14
6 0
3 years ago
Global mean temperature was changing the most rapidly in 2005. How quickly was the temperature changing in 2005
AysviL [449]

The temperature was changing at a rate of 2.925 degrees Celsius in 2005

<h3>How to determine the rate in 2005</h3>

From the graph (see attachment), we have the following ordered pair

(x,y) = (5,14.625)

The above means that, the temperature in 2005 is 14.625 degrees Celsius

So, the rate in 2005 is:

Rate = \frac{14.625}{5}

Rate = 2.925

Hence, the temperature was changing at a rate of 2.925 degrees Celsius in 2005

Read more about average rates at:

brainly.com/question/8728504

4 0
2 years ago
6x+4=5x-6 what is the solution for it
Oksi-84 [34.3K]

Answer:

x=-10

Step-by-step explanation:

6x+4=5x-6

Subtract 5x from each side

6x-5x+4=5x-5x-6

x +4 = -6

subtract 4 from each side

x+4-4 = -6-4

x=-10

8 0
3 years ago
Read 2 more answers
Other questions:
  • Quadrilateral AGHY~Quadrilateral BFRS. Name the corresponding congruent angles and the corresponding ratios of the sides
    7·1 answer
  • Solve for x<br><br> 4/7<br><br> 3/7<br><br> 12.5<br><br> 12<br><br> (i have a few more also)
    8·1 answer
  • Asanji took a trip to Mexico.Upon leaving he decided to convert all of his Pesos back into dollars.How many dollars did he recei
    15·2 answers
  • A stereo that cost $500 and sold for $750 in profit percentage​
    9·2 answers
  • A square has an area of 576 square inches. How long is each side in feet?
    6·2 answers
  • What is 12.4 less then the sum of 19.23 and 10.02?
    6·1 answer
  • What is the answer to 12×5-3×20
    14·2 answers
  • 5. Each polygon circumscribes a circle. Find the perimeter.
    8·1 answer
  • A cake has circumference of 2517 25 1 7 inches. What is the area of the cake? Use 227 22 7 for π π . Round to the nearest hundre
    14·1 answer
  • The difference of two numbers is 9. The sum of the two numbers is 15. What are the two numbers?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!