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
-Dominant- [34]
4 years ago
12

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

represents the situation, where x represents the width of the rectangle. What are the dimensions of the rectangle?
Mathematics
2 answers:
mina [271]4 years ago
8 0
1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
(x-8)(x+13)=0

5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8

6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104

The dimensions are 13 and 8, have a nice day :D
Ivenika [448]4 years ago
6 0

Answer: x2 + 5x – 104 = 0

You might be interested in
A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.
FinnZ [79.3K]
They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.

We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5

So the purple square has an area of 1.5*1.5 = 2.25 square inches

Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever

Round that to two decimal places. The final answer is 0.03

Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)
5 0
3 years ago
Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
LuckyWell [14K]

From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

--------------------

  • The function (f - g)(x) is given by: (f - g)(x) = f(x) - g(x)
  • Thus, it will be positive if: f(x) > g(x)
  • Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
  • Thus, (f - g)(x) is positive in the interval (–∞, –2).

A similar problem is given at brainly.com/question/24388889

7 0
3 years ago
Find the measure of ∠2.<br><br> a. 32<br> b. 64<br> c. 116<br> d. 90
Studentka2010 [4]

Answer:

angle 2 =90 because it is a right angle

7 0
3 years ago
Read 2 more answers
Express as a sum: x–y–z<br><br> plz help i will give branilly for the correct answer
babymother [125]

Answer:

i am positive it is x+y+z

Step-by-step explanation:

i'm so sorry if this is wrong..hope this helped :)

3 0
3 years ago
B) Write an expression for fin terms of d.<br> c) Work out e-f<br> Simplify your answer.
olga2289 [7]

Answer:

3d+ e+f

Step-by-step explanation:

7 0
4 years ago
Other questions:
  • What is exacly 5/6 of a full rotation
    15·2 answers
  • Considered two events such that P(A)=3/5, P(B)=2/3, and P(AnB)=1/5. Are the events A and B independent events?
    6·1 answer
  • Can someone please help me with the question in the image. If correct i will mark as brainliest answer
    11·1 answer
  • B<br> 3 <br> - 6 = -2<br><br><br> What’s the answer to this equation?
    7·1 answer
  • The sale rack at the department store said that an additional 30 percent discount would be taken on all items. If a dress
    10·2 answers
  • In the diagram below, AB is parallel to CD. What is the value of x?
    5·2 answers
  • State whether it represents a function
    14·1 answer
  • Line AB contains points A (1, 2) and B (−2, 0). The slope of line AB is...
    5·2 answers
  • It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo
    11·2 answers
  • Find the value of x<br> classify the triangle
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!