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
Answer:
h = 12.5
Step-by-step explanation:
Simplifying
h + 3h + 4h = 100
Combine like terms: h + 3h = 4h
4h + 4h = 100
Combine like terms: 4h + 4h = 8h
8h = 100
Solving
8h = 100
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by '8'.
h = 12.5
Simplifying
h = 12.5
Answer:
I am stuck on that question tooo
Step-by-step explanation:
Scientists need technology to figure out other stuff. For example, A computer is used to research.
