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
drek231 [11]
3 years ago
15

you are building a rectangular wading pool you want the area of the bottom to be 90 ft squared you want the length of the pool t

o be 3 ft longer than twice its width what will the dimensions of the pool be
Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0
We can form a system of equations:
x*y=90
and
x=2y+3.
Solving gives dimensions of 15 feet by 6 feet.
You might be interested in
Dayren is driving ti visit family. She drives at an average of 65 miles per hour. She drives 227.5 miles before lunch and then 9
lianna [129]

Answer:

5 hours

Step-by-step explanation:

227.5+97.5=325

325/65=5

3 0
3 years ago
Write an absolute value equation that satisfies the following condition.
lawyer [7]

Answer:

x=-17.......................

Step-by-step explanation:

x+17=0

3 0
3 years ago
Given that x and y are positive integers, solve the equation x² - 4y² = 13​
zvonat [6]
<h3>Answer:  x = 7 and y = 3</h3>

=====================================================

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

  • A) x-2y = 1 and x+2y = 13
  • B) x-2y = 13 and x+2y = 1

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

Let's consider case A

We have this system of equations

\begin{cases}x-2y = 1\\x+2y = 13\end{cases}

Add the equations straight down

  • x+x becomes 2x
  • -2y+2y becomes 0y = 0 which goes away
  • 1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

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

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example:  x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

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

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0
2 years ago
Anyone know the answer?
kherson [118]

Answer:

A≈18.38

Step-by-step explanation:

Solve for area

Shape: Parallelogram

Formula: Base*Height

5.25*3.5=18.375

Round answer

Hope this helps.

6 0
2 years ago
What's the prime factor of 92 ?
mariarad [96]
Prime factors are multiplying numbers that cannot be divided into smaller numbers.
Let's break down 92.
Divide 92 by 2.
2 x 46.
We can still break this down.
Divide 46 by 2.
2 x 2 x 23.
This is your prime factorization of 92.
I hope this helps!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Compare 8 ⋅ 107 to 2 ⋅ 104. Plz Answer 25 Points!!!
    9·2 answers
  • (a) An angle measures 27°. What is the measure of its complement?
    9·1 answer
  • Will give BRAINEST
    14·2 answers
  • Which property could be used to find the missing number?
    14·1 answer
  • 12.5=2g-3.5 with steps. THX
    10·1 answer
  • 56.27 in expanded form​
    10·1 answer
  • Find the difference: 5.68 -<br> - 2.15 - (-1.34) = *
    5·2 answers
  • Twice the difference of a number and 1 is 4 more than that number. find a number using polyas 4 steps
    11·1 answer
  • )What conclusion can be determined from the dot plot below?
    6·1 answer
  • HELP PLEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!