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
diamong [38]
3 years ago
11

The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 35 yd2

Mathematics
1 answer:
rewona [7]3 years ago
4 0
The width of the rectangle = x.
The length of the rectangle is 3 yd more than twice the width = 2x+3.
The area is 35 yd².

The area is the width times the length.
35=x(2x+3) \\
35=2x^2+3x \\
0=2x^2+3x-35 \\
0=2x^2+10x-7x-35 \\
0=2x(x+5)-7(x+5) \\
0=(2x-7)(x+5) \\
2x-7=0 \ \lor \ x+5=0 \\
2x=7 \ \lor \ x=-5 \\
x=\frac{7}{2} \ \lor \ x=-5

The length and width must be positive so x=\frac{7}{2}=3.5.
2x+3=2 \times \frac{7}{2} + 3=7+3=10

The dimension of the rectangle are 3.5 yd and 10 yd.
You might be interested in
I EAT BOOGERS AND SO DO UUU
Ludmilka [50]

Answer:

okkkkkk are you ok like actually

6 0
2 years ago
Read 2 more answers
Help I have a lot to do
BaLLatris [955]
12)
(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.
4 0
2 years ago
A swimming pool holds 480,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe
sweet-ann [11.9K]
The answer is 96 min, here is why:

x / 240 + x / 160 = 1 
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min

(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
8 0
3 years ago
A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
If it's 2:30 PM what time is it gonna be in 45 minutes
natta225 [31]
3:15pm hope this helps bff
7 0
2 years ago
Other questions:
  • Prove that the (n+1) term of a G.P of which the first term is a and third term is b,is equal to the (2n+1) term of a G.P of whic
    13·1 answer
  • Find each product.
    9·1 answer
  • I am greater than 30 and less than 40. The sum of my digits is less than 5
    15·2 answers
  • Solve for x in the diagram
    10·1 answer
  • Two similar triangles are shown.
    15·2 answers
  • Can someone help me, please?<br><br>Im just confused.
    13·2 answers
  • *TEN POINTS* Answer the question. Deals with functions.
    11·1 answer
  • What is 6 plus 6??????..
    7·2 answers
  • Yes invests $1500 that compounds interest monthly with a 4.5% rate. How much money will he have after the 12 years?
    7·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!