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:
1. Rectangle
2. 376.8 cm
3. 379.94 square feet
4. –4 and 4
Step-by-step explanation:
A square is always a rectangle.
If a wheel has a radius of 15 cm, it would travel approximately 376.8 cm per 4 revolutions.
If the diameter of a circular garden is 22 feet, the approximate area of the garden is 379.94 square feet.
The solutions to the equation y2 – 1 = 15 is –4 and 4.
2 feet is the minimum height it can be
Answer: slope=3
y intercept :(0, -1)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept
Answer:
6
Step-by-step explanation:
(8:100) * 75
(8*75) : 100
600:100 = 6
