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
alex41 [277]
2 years ago
7

John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t

he old one
Mathematics
1 answer:
Mila [183]2 years ago
7 0

If the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.

Given that the side of square flower bed was enlarged by 8 feet and the area of the new flower bed was 4 feet.

We are required to find the length of the side of the old flower bed.

We know that the area of rectangle is equal to the product of length and breadth of that rectangle.

let x represents the side of the square old flower bed.

Dimensions of new rectangular flower bed:

Width=x

Length =x+8

Area=3*x^{2}

=3x^{2}

Thus:

x(x+8)=3x^{2}

x^{2}+8x=3x^{2}

2x^{2}=8x

2x=8

x=4

Hence if the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.

Question is incomplete as the next part of the question is as under:

Calculate the length of the side of the old flower bed?

Learn more about area at brainly.com/question/25292087

#SPJ4

You might be interested in
A car travels 354 miles on 11 gallons of gasoline. The best estimate of the car’s miles per gallon is:
notka56 [123]

354/11 = 32.18

therefore the car approximately travels 32.18 miles per gallon of fuel

4 0
3 years ago
Read 2 more answers
Which statement is true?​
solniwko [45]

Answer:

There is no answer given in the option for this question.

Step-by-step explanation:

7 0
3 years ago
Solve for x in the equation X2-4x-9 = 29<br> X = 2+ 42<br> X = 2+ V33<br> X= 2+<br> 34<br> X=442
tester [92]

Answer: A) x=2±V42

(Random text)

4 0
4 years ago
Complete the square<br> to find the vertex<br> of this parabola.<br> x?+8y+2x - 23=0
trapecia [35]

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y =  -1/8·((x + 1)² - 24) =  -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y =  -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP! Is 16x^2 - 56x + 49 a perfect square trinomial? How do you know? If it is, factor the expressio
jasenka [17]

No need to fear, thehotdogman93 is here!

The first step is to get rid of those very large numbers. It's going to be very difficult to factor unless we can bring those high numbers down. So lets see if we can factor each term.

So after dividing 49 with every single digit. The only number that divides evenly is 7 and one, and 16 isnt divisible evenly by 7 so that didn't work. Looks like we're gonna have to work with these big numbers.

There is something interesting though about these numbers. 16 and 49 are both perfect squares. 16 is the same as 4^2 and 49 is the same as 7^2. So we can factor the whole trinomial as:

{(4x - 7)}^{2}

If we were to expand this out as:

(4x - 7)(4x - 7)

and multiply it back into the original form. It would match with the expression we started with. The 4's would multiply back into 16x^2 and the 7's would multiply back into 49.

Additionally 4 * -7 is -28, so you can combine two -28x's into the -56x term in the original trinomial.

Thus, the answer is yes you can, and the answer is:

{(4x - 7)}^{2}

6 0
3 years ago
Other questions:
  • Which unit rate is the lowest price per ounce? Choice A: 25 ounces of potato chips for $3.49 Choice B: 40 ounces of potato chips
    5·2 answers
  • The graph of the equation below is a circle. Identify the center and radius of the circle. x^2 + 10x + y^2 − 8y − 8 = 0
    15·1 answer
  • The number of fish (F) in a fish tank increases when the number of plants (P) increases. Write the correct equation for this sce
    12·1 answer
  • 4) -5(2x + 4y) is equivalent to
    6·2 answers
  • On a spelling test, Marcy got 15% of the questions incorrect. If there were 40 questions on the spelling test, than how many que
    11·1 answer
  • Whats 3/8 divided by 2 2/5
    5·1 answer
  • HELP!
    9·2 answers
  • The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many
    8·1 answer
  • John and Jim went to Cheddar's for lunch Their meals together cost $25.00. if John tipped the waitress 10%, how much did John pa
    7·1 answer
  • £ 5.4.3 Quiz A medical company tested a new drug on 100 people for possible side effects. This table shows the results. Side eff
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!