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
Bas_tet [7]
3 years ago
12

The length of a rectangle is 8 feet more than it’s worth. The area of the rectangle is 84 ft.². Find its Length and width.

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer: 100 i think, but am not sure.

Step-by-step explanation:

The formula for area of a rectangle is A=l*w.  Since the area is 84, then you can use the A=l*w formula.  84 = x(x+8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  So, x2 + 8x - 84 = 0.

Since you can't solve this quadratic using factoring, you need to complete the square.

To complete the square you need to add 84 to both sides.  Now you have x2 + 8x = 84.  Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 42, so 16.  Now you have x2 +8x +16 = 100.

Factor x2 +8x +16, so (x+4)2 = 100

If you use the square root property, you have x+4 = 10.  Therefore, x = 6 (the short side) and 14 is the long side.

You might be interested in
Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is th
Mekhanik [1.2K]

Answer: 0.8413

Step-by-step explanation:

Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.

Mean : \mu=47

Standard deviation : \sigma= 4

Let x be the random variable that represents the typing speeds for the students.

The z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 51

z=\dfrac{51-47}{4}=1

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

P(x

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413

8 0
3 years ago
Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th
STatiana [176]

We can find the acceleration via

{v_f}^2-{v_i}^2=2a\Delta x

We have

\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)

\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}

Then by definition of average acceleration,

a_{\rm ave}=\dfrac{v_f-v_i}t

so that

-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t

\implies\boxed{t=6.33\,\mathrm s}

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2

Then

\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2

\implies\boxed{t=6.33\,\mathrm s}

7 0
3 years ago
The complete factorization of 12x² + 4x - 8 is:
PolarNik [594]

Answer:

D is the correct answer.

8 0
3 years ago
Remy bought a bottle of water with a volume of 0.56 L. After Remy drank some of the water there was 0.17 L left. How much water
Nadya [2.5K]

Answer:

0.73 L

Step-by-step explanation:

3 0
3 years ago
Find the length of PQ
PIT_PIT [208]

Answer:

C. About 8.6 Units

Step-by-step explanation:

Distance Formula

8 0
3 years ago
Other questions:
  • Can someone help me please???
    6·1 answer
  • If 33mn+10=38mn, then what is the value of -3/2mn?
    5·1 answer
  • Negative 4 is greater than or less than negative 1
    9·2 answers
  • F(x) = 3x + 2 and g(x) = x + 5 g[f(x)] =
    5·2 answers
  • the endpoints of a line segment are at the ordinates (3,-4,6) and (5,7,-2). what is the midpoint of the segment?
    5·1 answer
  • Solve y=x2-5 for x.
    5·1 answer
  • Which operation should you perform after (9 + 6) in the expression
    12·2 answers
  • −2.4(m−2/3)=−9 <br> Please help! I can't figure it out!
    11·2 answers
  • Hi can someone pls help me with this!!!
    11·1 answer
  • HELP NO LINKS OR TROLLING
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!