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
insens350 [35]
2 years ago
6

The area of a rectangle is 63m^2 and the length of the rectangle is 11m more than twice the width. Find the length and width.

Mathematics
1 answer:
AleksandrR [38]2 years ago
7 0

Answer:

width = 3.5 m

length = 18 m

Step-by-step explanation:

area = length x width

x is the width then length = 2x + 11

x(2x + 11) = 63

2x^2 + 11x - 63 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 2

       b = 11

       c = -63

substitute in the formula

x = [-11 +/- √(11^2 - 4(2)(-63))]2(2)

x = [-11 +/- √(121 + 504)]/4

x = [-11 +/- √625]/4

x = (-11 +/- 25)/4

x1 = (-11 + 25)/4 = 14/4 = 3.5

x2 = (-11 - 25)/4 = -36/4 = -9

since width can't be a negative number, x is 3.5

length = 2x + 11 = 2(3.5) + 11 = 18

You might be interested in
The volume of a sphere is 80pi cm3. What its is surface area to the nearest whole number
vlabodo [156]
Volume = (4/3) * PI * radius^3
80 * PI = (4/3) * PI * radius^3
The 'PI's' cancel out leaving
80 = (4/3) * radius^3
radius^3 = 80/(4/3)
radius^3 = 60

radius = cube root (60)
3 0
2 years ago
What is the frequency of the graph of y = 1/3 sin(2x)?
vovangra [49]

Given:

The sine function is:

y=\dfrac{1}{3}\sin (2x)

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

y=A\sin(Bx+C)+D

Then, the frequency of the sine function is:

f=\dfrac{B}{2\pi}

We have,

y=\dfrac{1}{3}\sin (2x)

Here, B=2. So, the frequency of the given function is:

f=\dfrac{2}{2\pi}

f=\dfrac{1}{\pi}

Therefore, the correct option is D.

3 0
2 years ago
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
MrRissso [65]

Answer:

B.(-1,2)

Step-by-step explanation:

In a function, there can not be two different values of y corresponding to the same value of x.

See the graph attached.

Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).

If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).

Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.

So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)

7 0
2 years ago
How many quarts and cups are in 2 gallons
MrMuchimi
There are 8.25 cups and quarts in two gallons
7 0
3 years ago
Read 2 more answers
Solve for y 31=2y-5
DIA [1.3K]

31=2y-5

Add 5 on both -5+5 which cancels out and 31+5 which is 36 and then divide 36 by 2 which equals to 18.

So y=18 hope this helped (':


8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 7 29/80 as a mixed number with a decimal
    12·1 answer
  • Write the following fractions as decimals. First 2 answer gets 40 points!!!!!
    10·2 answers
  • If I have 777 pizzas and john eats 47.283 of the pizzas how many pizzas do i have but here's the thing I don't know how many piz
    11·1 answer
  • 00:00
    11·1 answer
  • What is the unknown number ( +4)+59=70 i think it is 7
    13·1 answer
  • Which represents the sum of the geometric series 4+12+36+108+...+78,732
    13·1 answer
  • Find the slope of the line that passes through the points (-2, 4) and (-5, -6).
    12·1 answer
  • The three linear equations have y intercept of -3.8 and 7 respectively. Yet, a function can have only one y intercept. which of
    8·1 answer
  • Find the number of square inches in one square foot.<br> 144<br> 12<br> 24
    9·2 answers
  • Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined are
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!