Answer:
6x² + 9x + 2
Step-by-step explanation:
The pool is a square with a side length of 2x.
The area of the pool = length * length = 2x * 2x = 4x²
The area of the deck surrounding the pool has length of 2x + 1 and width of 5x + 2. Therefore:
The area of the deck surrounding the pool = length * width = (2x + 1)(5x + 2) = 10x² + 4x + 5x + 2 = 10x² + 9x + 2
Area of the deck only = area of the deck surrounding the pool - area of pool = (10x² + 9x + 2) - 4x²
Area of the deck only = 6x² + 9x + 2
Yes because a propprtion is 2 numbers under each other like 12 is under 8 like a fraction form.
Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
SI = P × R × T
SI = 1000 × 6/100 × 2 = $120
-1/3
3
-7
Is
Two have the product of -1
