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
mamaluj [8]
3 years ago
9

The width, w, of a rectangular playground is x +3 . The area of the playground is x^3-7x+6 . What is an expression for the lengt

h of the playground? (1 point)
Mathematics
2 answers:
juin [17]3 years ago
6 0
To find the length of the playground, you multiply length(width) = area

To reverse this, you have to divide on each side by the term we know (x + 3)

The answer would be width = (x³ - 7x + 6) / (x + 3)

If you need help solving this, let me know
Bumek [7]3 years ago
5 0

Answer:

Length is : x^{2} -3x+2

Step-by-step explanation:

The width of the rectangular playground is given as = x+3

The area of the playground is given as = x^{3} -7x+6

We have to find the length.

The area of the rectangle is given as :

A= length*width

So, length can be found as : length=\frac{area}{width}

=> \frac{x^{3}-7x+6 }{x+3}

Solving this we get,

Factoring \frac{x^{3}-7x+6 } we get (x-1)(x-2)(x+3)

Using the rational root theorem and assuming a0=6 and a(n)=1

Divisors of a0 = 1,2,3,6

Divisor of a(n) = 1

1/1 is the root of equation. So, factoring out x-1 we get

(x-1)\frac{x^{3}-7x+6 }{x-1}

\frac{x^{3}-7x+6 }{x-1}

x^{2} +\frac{x^{2}-7x+6 }{x-1}

x^{2} +x+\frac{-6x+6}{x-1}

dividing \frac{-6x+6}{x-1} we get -6

So, result becomes x^{2} +x-6

Factoring this we get: (x-2)(x+3)

\frac{(x-1)(x-2)(x+3)}{(x+3)}

Cancelling x+3

We get the length as = (x-1)(x-2) or x^{2} -3x+2

You might be interested in
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T
Paul [167]

The distance between two points on the plane is given by the formula below

\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}

Therefore, in our case,

A=(-1,-3),B=(5,2)

Thus,

\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}

Therefore, the answer is sqrt(61)

In general,

-(-n)=n

Remember that

-n=(-1)\cdot n

Therefore,

\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}

6 0
1 year ago
What is the slope of the line that passes through the points(7,-9) and (15,-29)?
Alex Ar [27]
(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2
3 0
3 years ago
No referencial está representado o círculo trigonométrico e um ponto A, resultante da intersecção da circunferência como lado ex
Anna35 [415]

Answer:

??

Step-by-step explanation:

8 0
3 years ago
X=2y+7 3x−2y=3 solve by substitution
vazorg [7]

Answer: x= -2

Step-by-step explanation:

8 0
3 years ago
What is universal gravitational constant
koban [17]

Answer:

6.67408 × 10^-11 m^3 kg^-1 s^-2

Step-by-step explanation:

F = G M 1 M 2 d 2 , where F is the gravitational force between two point masses, M1 and M2; d is the distance between M1 and M2; G is the universal gravitational constant, usually taken as 6.670 × 1011 m3/(kg)(s2) or 6.670 × 10−8 in centimeter–gram–second units. a = F M 1 = G M 2 r 2 .

8 0
3 years ago
Other questions:
  • The following data show the different types of pet food stores in the area carry.
    13·1 answer
  • A woman earns $2700 per month and budgets $351 per month on food. What percent of her income is spent on food?
    13·2 answers
  • A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati
    10·1 answer
  • BRAINLIEST ANSWER UP FOR GRABS!!
    6·2 answers
  • Decide whether the triangles are similar. If so, determine the appropriate expression to solve for
    10·2 answers
  • Which test point holds true for y − 2x ≤ 1?
    12·1 answer
  • Find the missing factor 4x^2+19x-5=(x+5)( )<br><br> NEED HELP PLEASE
    15·1 answer
  • PLEASE HELP ASAP !!
    9·2 answers
  • On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
    6·1 answer
  • Miles is buying a new computer for $1,150. He is considering two credit options. Option A Offers a 3 year loan with a 10% simple
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!