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:
51
Step-by-step explanation:
24 ^2+45^2=x^2
=51
Answer:
Coffee(time)
Step-by-step explanation:
A function's output variable will be:
output(input)
So we need to find the input variable and the output variable.
We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.
The time of day then becomes our input as the coffee sold relies on that number.
That leaves coffee sold as our output!
So the best name for a function in this scenario is Coffee(time).
Hope this helped!
Answer:
Width = 40ft
Step-by-step explanation:
Area of a rectangle = Length x Width
=> 1600 = 40 x W
=> 1600 = 40W
=> 1600/40 = 40W/40
=> 40 = W
So, the width is 40 ft
Answer:
11 maybe
Step-by-step explanation:
multiply 8 by the x (which is one) and then add 3
