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
Blababa [14]
2 years ago
5

The length of a rectangle exceeds its width by 4

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
8 0

Answer:

length = 10 in, width = 6 in

Step-by-step explanation:

Let the width be x.

Then, length = (x+4)

Area = 60 in²

Area of a rectangle = width × length

60 = x × (x+4)

60 = x² + 4x

x² + 4x - 60 = 0

Splitting the middle term :-

x² + 10x - 6x - 60 = 0

x (x + 10) - 6 ( x + 10) =0

(x + 10) ( x - 6)

x = -10 (doesn't fulfill our requirement)

x = 6

So, width = 6 in

length = 6+4 = 10 in

You might be interested in
√(2x+1)<br> Evaluate the integral<br> 2<br> (2x + 1) In (2x + 1)<br> dx.
Crank

Substitute y=\ln(2x+1) and dy=\frac2{2x+1}\,dx, so that

\displaystyle \int \frac2{(2x+1) \ln(2x+1)} \, dx = \int \frac{dy}y = \ln|y| + C = \boxed{\ln|\ln(2x+1)| + C}

6 0
1 year ago
One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?​
Usimov [2.4K]

Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

                                                                       = $2700

Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

  • M - 2700

It means the change is a decrease of $2700.

3 0
3 years ago
0.40 - 2.55<br> 5<br> please answer this
andrew-mc [135]

Answer:

-2.15

Step-by-step explanation: <em>I was kind of confused on what you asked. If you were asking for </em>0.4-2.55<em>, then that is the answer above.</em>

7 0
3 years ago
Which of the following are situations that can be modeled with a quadratic function? Select all that apply.
Lina20 [59]

Answer:

Option 2 and 5 are correct.

Step-by-step explanation:

We need to tell which one of them is quadratic function.

Option 1 is exponential decay so, it is not quadratic.

Option 2 is quadratic because the diver will take the parabolic shape when jumps.

Option 3 is not quadratic.Option 4 is not quadratic it is linear.

Option 4 is again exponential not quadratic.

Option 5 is quadratic because it takes the parabolic shape again.


4 0
3 years ago
Read 2 more answers
Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 ≤ 1}. Use the method of Lagr
alex41 [277]

Answer:

Answer with explanation and steps are in the following attachment.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find the equation of the circle that passes through the origin and has its center at (-3,-4).
    13·2 answers
  • Assume that you plan to use a significance level of α= 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbe
    10·1 answer
  • HELP ME PLEASE !! Anybody
    10·1 answer
  • A triangle has an area of 288.6 square kilometers and a height of 26 kilometers. What is the length of the base?
    6·1 answer
  • True or False: A p is the probability that the results are not due to chance, the probability that the null hypothesis (H0) is f
    13·1 answer
  • 5 ordinary quarters and have a quarter with two heads are placed in a hat. one quarter selected at random and tossed twice. if t
    5·1 answer
  • F(x)= x+4 <br> How do you do this step by step?
    12·1 answer
  • Which of the following terms is best described as the point halfway between
    15·1 answer
  • Estimate how far he ran in 4 seconds. and Is Kiran's time a function of the distance he has run?
    12·1 answer
  • The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!