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
galben [10]
3 years ago
8

The rectangle below has an area of 14x^4 + 6x^2 square meters. The width of the rectangle (in meters) is equal to the greatest c

ommon monomial factor of 14x^4 and 6x^2. What is the length and width of the rectangle?
Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

l = (7x² + 3) m; w = 2x² m

Step-by-step explanation:

(1) <em>Monomial factors</em>

Factors of 6: 1, 2, 3, 6

Factors of 14: 1, 2,        7, 14

The highest common factor of 6 and 14 is 2.

Factors of x²: x, x²

Factors of x⁴: x, x², x³, x⁴

The highest common factor of x² and x⁴ is x².

The highest common factor of 6x² and 14x⁴ is 2x².

(2) Solve for length and width

<em>Data:</em>

(1) A = 14x⁴ + 6x²

(2) w = 2x²

<em>Calculations:</em>

   A = lw                                 Divide each side by w

(3) l = A/w                               Insert (1) and (2) into (3)

    l = (14x⁴ + 6x²)/(2x²)          Divide both sides by (2)

   l = (7x² + 3)

You might be interested in
Find the product ( x ≠ ? )
dsp73

Answer:

-3

Step-by-step explanation:

if x= -3

the denominator becomes 0 and the fraction becomes undefined.

8 0
3 years ago
The graph below shows the path of a model rocket after its launch from the ground.
Zarrin [17]
The answer the third one
8 0
2 years ago
What is the sum of 6 4/5 and 6 4/5?<br> A. 12 4/5<br> B. 29/5<br> C. 0<br> D. -12 4/5
maw [93]

\bf6 \frac{4}{5}  + 6 \frac{4}{5}  =  (6 + 6) \frac{4}{5}  = 12 \frac{4}{5}

5 0
3 years ago
Read 2 more answers
1
Kazeer [188]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = \frac{28-29}{0+4} = - \frac{1}{4}

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - \frac{1}{4} x + 28 ← equation of line → D

8 0
3 years ago
What is the range of the following function: f(x)=-x^2+x^-1 if the domain is {-2, -1, 1}
postnew [5]

f(x)= -x^2 + x^-1

f(-2)= - (-2)^2 + (-2)^-1 = -4 - 1/2 = -9/2

f(-1)= - (-1)^2 + (-1)^-1 = -1 -1    =   -2

f(1) = - (1)^2 + (1)^-1 = -1 +1 = 0

The range is { -9/2, -2, 0}


8 0
3 years ago
Other questions:
  • Three single-serve bags of chips cost 0.99 at this rate how much do 5 bags cost
    12·2 answers
  • Help me I just moved to America and I don't understand a single word show work please that would be very thoughtful of u guys
    7·1 answer
  • Which method is valid for proving that two circles are similar?
    9·1 answer
  • Help me it is really hard
    6·1 answer
  • a cup was filled at a constant rate. it started empty. after 2 seconds, it held 70 cm cubes of water. the radius is 4 and te hei
    14·1 answer
  • A. 3(x + y) + 2x, for x = 3 and y = 5 <br> b. 7x + 4 – x + 2, for x = 8
    5·1 answer
  • Which is a perfect square <br> 72<br> 81<br> 90<br> 99
    15·2 answers
  • A tune up automotive facility marks up its part by 25% suppose that the facility charges its customers $1.75 for each spark plug
    10·1 answer
  • Hello everyone, please help me on this second question (:
    11·1 answer
  • PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!