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
OleMash [197]
3 years ago
11

The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the

rectangle.
Mathematics
1 answer:
muminat3 years ago
3 0
Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
2w = 7
w = 3.5

w+2 = 0
w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

You might be interested in
Two angles form a complementary pair (sum is 90 degrees) one angle is 3x - 10 and the other angle is x + 8. Write an equation an
Whitepunk [10]
3x-10+x+8=90
4×-2=90
4x=92
X=23

One angle is 31. 23+8
The second one is 59. 3 (23)-10
7 0
3 years ago
Which statement describes the graph?
Black_prince [1.1K]

Answer:

For this case, the first thing you should observe is that you have a different function in two distinct intervals.

We have then:

For [-10, 2]:

The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)

For [2, 10]:

We have a constant function whose equation is:

y = 5

Answer:

D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the measurement of HI
Murljashka [212]
Answer: 15

Explanation: the triangle to the right is a dial action of the smaller triangle, therefore the triangles are similar. Since the sides of both triangles are corresponding if the corresponding side to JI is 5, and JI is 25 then it is a dialation by a multiple of 5. So since the corresponding side to HI is 3, HI is 15
6 0
3 years ago
E(x) = -x + -6<br> Find e(-2)
jasenka [17]

Answer:

I'm pretty sure it's -4

Step-by-step explanation:

If you substitute in -2, you get e(-2)= -(-2)+ -6

which is equal to 2-6

2-6=-4

8 0
2 years ago
Read 2 more answers
After a 15% discount a pair of jeans were $11.50. How much were the jeans before the
andrezito [222]

Answer:

add me on Ig thank you

Step-by-step explanation:

bbk.riah

6 0
3 years ago
Other questions:
  • Does anyone know it?
    12·1 answer
  • Find the probability of spinning a 2 and 4 and rolling a 6?
    15·2 answers
  • If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?
    6·1 answer
  • For a field trip 5 students rode in cars and
    5·2 answers
  • Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
    11·1 answer
  • how many minutes is it before 12 noon if 20 minutes ago it was three times as many minutes after 9 am
    11·1 answer
  • Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
    15·1 answer
  • Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
    13·2 answers
  • An experiment was conducted by some students to explore the nature of the relationship between a person's heart rate (measured i
    5·1 answer
  • Simplify. (x2+2x-4)+(2x-5x-3)​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!