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
kvasek [131]
3 years ago
6

The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards
You might be interested in
PLEASE HELP!! Proving the Parallelogram Side Theorem in Geometry B on edg.
RideAnS [48]

Here are the answers :D

9 0
2 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
2 years ago
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breath
Allisa [31]

The radius of the balloon given the information in the question is 8.98cm.

<h3>What is the radius of the balloon?</h3>

The first step is to determine the volum of the balloon.

Volume = 81π cm^3 x 12 = 972π cm^3

Now, determine the radius using this formula:

∛[Volume / (4/3π )]

∛[972π cm^3/ (4/3π )] = 8.98cm

Here is the complete question:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?

To learn more about the volume of a sphere, please check: brainly.com/question/13705125

5 0
1 year ago
1) Which equation graphs as a line? A) y = 2x3 B) y = x2 + 3 C) y = 1 2 x D) y = 1 2 x2
LuckyWell [14K]

Answer:

B) y=2x+3

Step-by-step explanation:

6 0
3 years ago
Round 893.38 to the nearest tenth
belka [17]
The answer would be 893.4
3 0
3 years ago
Other questions:
  • Select the TRUE statement.
    11·2 answers
  • (3,-1) perpendicular to y= 4x+1
    14·1 answer
  • Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?
    15·1 answer
  • There are 25 students in Ms.Morris's class. She wants to divide the class into 3,4,or 5 equal teams with all students on a team.
    6·2 answers
  • Three multiplied by two plus four times nine divided by three
    5·2 answers
  • Please help me with this!..
    9·1 answer
  • RuiFeng is twice as old as Raj and Khairul is 7 years younger than RuiFeng. If the sum of their ages is 38 years, find their res
    5·2 answers
  • Help me plz !! need it plz
    6·1 answer
  • The robots will be taking over ⅓ of the normal work. you have hired 4 robots. How much of the total work will they be doing?
    12·2 answers
  • X is a normally distributed random variable with mean 46 and standard deviation 22.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!