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
qwelly [4]
3 years ago
9

The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe

et, the area will remain the same. Find the dimensions of the original rectangle.
Mathematics
1 answer:
bezimeni [28]3 years ago
7 0
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
You might be interested in
52. Which of the value represent the origin *OA. 1O B.-1OC. 2O D.O
postnew [5]

Given:

(b^4)^3

Simplify,

Use the exponent rule,

(a^b)^c=a^{bc}

It gives,

(b^4)^3=b^{4\times3}=b^{12}

Answer: option B)

5 0
1 year ago
Can you help me find the values of x and y. Please
ivanzaharov [21]
When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.

This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.

Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.

In sum: x=7 \sqrt{3}, y=14.
5 0
3 years ago
Peggy had three times as many quarters and nickels. she had $1.60 in all. How many nickels and how many quarters did she have?
makvit [3.9K]
If she has 3 times as many quarters as nickels, and nickels are represented by n, you would multiply n by three to get your answer, so your answer is 3n, or D.
3 0
3 years ago
Read 2 more answers
Explain how to find the absolute value of a number.
kykrilka [37]
The correct answer is C. Absolute numbers should always yield a positive value. Other choices doesn’t do that. Measuring the distance on a number line ensures the positive value without changing the magnitude of the number given.
5 0
1 year ago
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
Firdavs [7]

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

5 0
2 years ago
Other questions:
  • Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 fr
    12·1 answer
  • Number two thanksss
    11·2 answers
  • You invest $300 in an account at 7.5% per year simple interest. How much will you have in the account at the beginning of the 11
    10·2 answers
  • Suppose that a certain brand of light bulb has a mean life of 450 hours and a standard deviation of 73 hours. Assuming the data
    9·1 answer
  • Please write the slope-intercept form for this: A line goes through the points (5,18) and (-3,-14)
    9·1 answer
  • What is 1,296 divided by 36
    6·1 answer
  • What is the factorization of the polynomial below 9x^2+6x+1
    6·1 answer
  • Computing the total cost and interest for a loan
    12·1 answer
  • Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracu
    10·1 answer
  • Someone help me pls
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!