Mr. Tan's rectangular swimming pool has an area of (81x2 - 144y2) square feet. What are the dimensions of his pool?

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

Answer:

The pool dimensions are thus (9x - 12y)(9x + 12y)

Step-by-step explanation:

(81x^2 - 144y^2) is the difference of two squares. Note that you must indicate exponentiation with " ^ ."

Factoring the difference of two squares: a^2 - b^2 = (a - b)(a + b)

Thus, (81x^2 - 144y^2) =

The pool dimensions are thus (9x - 12y)(9x + 12y)

Yakvenalex [24]3 years ago

5 0

Answer:

(9x +12y) & (9x - 12y)

Step-by-step explanation:

$(81 {x}^{2} - 144 {y}^{2} ) \\ \\ =(9x)^{2} - {(12y)}^{2} \\ \\ = (9x + 12y)(9x - 12y) \\$

Hence, dimensions of the pool are (9x + 12y) & (9x - 12y)

You might be interested in

For what value of x is the value of f(x)=4x-2 equal to 18

mina [271]

F(x) = 4(5) - 2 → f(x) = 20 - 2 → f(x) = 18

5 0

2 years ago

Read 2 more answers

I need help finding x!<br><br> Please show work for both!

Alenkinab [10]

1. Answer x=-5
You would subtract 25 from each side of the equal sign, taking 25 away from 40 and 25 away from 25, isolating the x. So you would then have -3x=15. You would then divide each side by -3, and getting x=-5

4 0

2 years ago

Read 2 more answers

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?

xenn [34]

For the answer to the question above asking the explicit equation and domain for an arithmetic sequence with the first term of 5 and the second term of 2? I think the answer for this is <span>5-2(n-1); all integers where n≥0. I hope this helps.</span>

7 0

3 years ago

Read 2 more answers

Among 9 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the pro

seraphim [82]

Answer:

0.4444

Step-by-step explanation:

Use the following property to ease the calculation:

P(At least one)=1-P(None)

Total number of electrical components: 9

Number that does not function well :1