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
Komok [63]
3 years ago
9

The length of a rectangle is 5959 inches greatergreater than twice the width. if the diagonal is 2 inches more than the​ length,

find the dimensions of the rectangle.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Length: 2w + 59

width: w

diagonal: (2w + 59) + 2  = 2w + 61

Length² + width² = diagonal²

(2w + 59)² + (w)² = (2w + 61)²

(4w² + 118w + 3481) + w²  = 4w² + 122w + 3721

5w² + 118w + 3481 = 4w² + 122w + 3721

w² + 118w + 3481 = 122w + 3721

w² - 4w + 3481 = 3721

w² - 4w - 240 = 0

a = 1, b = -4, c = -240

w = [-(b) +/- \sqrt{(b)^{2}  - 4(a)(c) }]/2(a)

 = [-(-4) +/- \sqrt{(-4)^{2}  - 4(1)(-240) }]/2(1)

   =  [4 +/- \sqrt{(16  + 960) }]/2        

  = [4 +/- \sqrt{(976) }]/2  

  = [2 +/- 4\sqrt{(61) }]/2  

  = 1 +/- 2\sqrt{(61) }

since width cannot be negative, disregard  1 - 2√61

w = 1 + 2√61  ≈ 16.62

Length: 2w + 59  =  2(1 + 2√61) + 59  = 2 + 4√61 + 59  =  61 + 4√61  ≈ 92.24

Answer: width = 16.62 in, length = 92.24 in

You might be interested in
There were 6 friends who played a game of golf. Here were their scores. Player Score Sara -3 Steve 0 Kyle -2 Anna +3 Betsy +2 Mi
HACTEHA [7]

Answer: -4

Step-by-step explanation:

= -3 + 0 +(-2) + 3 + 2 +(-4)

= -3 - 2 + 3 + 2 - 4

= -4

6 0
4 years ago
After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
torisob [31]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

s(av) =  \frac{∆x}{∆t}  \\

s(av) = average \:  \: speed

∆x = covered \:  \: distance

∆t = time \:  \: of \:  \: the \:  \: covered \:  \: distance \\

_________________________________

s(av) =  \frac{183}{3}  \\

s(av) = 61 \:  \:  \frac{mile}{hour}

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5 0
2 years ago
what TRANSFORMATIONS take place to the parent graph f(x)= log(x) to achieve the graph g(x)=log(-2x-4)+5?
Leona [35]

The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards
4 0
3 years ago
Sanjay read 56 pages of his book this weekend.This is 35% of the pages in the book.How many pages are in Sanjays book?
Maurinko [17]
1. 56 : 35 = 1.6
2. 1.6* 100 = 160
3. The answer is 160
3 0
3 years ago
Which of the functions below could have created this graph?
bearhunter [10]

Answer:

A

Step-by-step explanation:

Two facts need to guide your answer.

One

The highest power is odd: you know this because an even power would start on the left come down do it's squiggles if had any and wind up on the right going up.

This graph comes down on the left does it's squiggles and then goes further down on the right. That's the behavior of something whose highest power is odd.

Two

The leading coefficient,  the number in front of the highest power must be minus. If it was positive as in y = x^3 the graph would be the mirror image of what it is.

Argument

B and D cannot be true. The highest power is even.

C is false because the leading coefficient is + 1.

So that leave A which is the answer.

The graph is included with this answer

7 0
3 years ago
Other questions:
  • I think of a number multiply it by 4 and subtract 3 i get 11
    7·2 answers
  • Use completing the square to solve the equation x2 - 10x = -8.
    5·1 answer
  • The length of 24 city blocks: 2 m or 2 km
    11·2 answers
  • Mike spent $7920 on his vacation, which was 11% of his monthly salary. What was his monthly salary
    13·1 answer
  • The Five Fives Challenge
    5·1 answer
  • DOWOLKOR<br> b. 7 + 2x = 4x - 3<br> What is the value of x to make both sides even?
    8·2 answers
  • What statement complete the proof below given 3x+ 7=x-5
    14·2 answers
  • Help please urgent ppleeeaseeeeeeeeeee
    9·2 answers
  • Please help me! I will give brainliest
    9·1 answer
  • How do you solve these two questions and what are the answers?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!