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
Darya [45]
3 years ago
11

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

  x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

  x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

  x = 104/8 = 13

  4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

__

I find it easiest to solve these using a graphing calculator.

You might be interested in
Out of the 40 students in the 7th grade class, 60% of the students carry a cell phone. What fraction of the students in the 7th
xz_007 [3.2K]

Answer:

Fraction of the students in the 7th grade class carry a cell phone = 3/5

24 students carry a cell phone


Step-by-step explanation:

40 students in the 7th grade, 60% of the students carry a cell phone.

so 40 x 0.6 = 24 students carry a cell phone

24/40 = 3/5

8 0
3 years ago
Read 2 more answers
An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, wha
Triss [41]

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

3 0
2 years ago
How do you write 300,000,000+40,000,000+7,000,000+300,000+10,000+6,000+20+9 in standard form
kodGreya [7K]
 it is  34,731,629 gust put the numbers to gater
5 0
3 years ago
How many centigrams are in 6 hectograms? Use the metric table to help answer the question.
Marta_Voda [28]
There are 60000 centigrams in 6 hectograms.

4 0
3 years ago
Read 2 more answers
Are the ratios 4:9 & 12:18 equivalent?
Zigmanuir [339]
No they aren't because they both can't be multiple by the same number
7 0
3 years ago
Read 2 more answers
Other questions:
  • In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18
    5·2 answers
  • Solve for x.<br><br> x2 - 49 = 0<br> A) 0 <br> B) ±49 <br> C) ±49i <br> D) ±7
    9·2 answers
  • What is 12 6/13 rounded to the nearest whole numbers
    7·1 answer
  • Help me. Jsjsbeisbehebeeueebejebeheheheeheh
    13·1 answer
  • Paul has a juice container that holds 5 gallons of juice Paul had some friends over and offered them juice Paul you juice from h
    7·2 answers
  • Hi. I need help with these questions.<br> See image for question.<br> Answer 15
    6·2 answers
  • 1/6 * 3/4<br> could be answers <br> 3/10<br> 1/6<br> 1/8 <br> 4/10
    13·2 answers
  • What is the equation in standard form of the line y = 19x + 5?<br> i am doing a test. thank you.
    10·1 answer
  • Write the equation of a line that is perpendicular to y = -1 and that passes through the point (8,-4)
    9·1 answer
  • Help this is due today!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!