Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
Hello!
As you can see, our distance is the product of our rate and time. Let's multiply below.
32(4.5)=144
Therefore, you would have traveled 144 miles.
I hope this helps!
Answer:
The numbers are 17 and 34.
Step-by-step explanation:
I just subtracted 17 from 51, it equals 34, and 34 is 17 more than 17. Add 34 and 17 and you get 51.
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form