Answer:
<em> The answer is 
x = y</em>
Step-by-step explanation:
We need to find the inverse of the function
y = sinx
Taking on both sides
y = sinx
y = x
Substituting x to y and y to x
<em> x = y</em>
This is the required inverse of the function
The graph of the function and its inverse is symmetric about y = x
<em> The answer is x = y</em>
Answer: ( P - 10 )/12, (2x + 5)(4x + 1)
Step-by-step explanation:
The length of the rectangle = 4x + 1,
The breadth = 2x + 5
Formula for finding perimeter of a rectangle, = 2( L + B )
Now, substitute for L and B in the formula, open the formula and simplify,
= 2(4x + 1 + 2x + 5 )
= 2(6x + 5 )
= 12x + 10
Therefore, the perimeter (p)of the rectangle, = 12x + 10.
If P = 12x + 10
12x = P - 10
x = ( P - 10 )/12
Area of a rectangle = L x B
=( 4x + 1 )( 2x + 5)
We therefore open the brackets
(4x + 1)(2x + 5)= 4x X 2x + 4x X 5+ 1 X 2x + 1 X 5
= 8x² + 20x + 2x + 5
A = 8x² + 22x + 5
A = (2x + 5)(4x + 1)
The length of each of its parallel side are 30 cm and 40 cm.
<u>Step-by-step explanation</u>:
- Perimeter of parallelogram = 140 cm.
- The one side of parallelogram = x cm.
- The other side of parallelogram = x+10 cm.
Perimeter of a parallelogram = 2 (base+height)
⇒ 140 = 2(x+x+10)
⇒ 140 = 2(2x+10)
⇒ 140 = 4x+20
⇒ 4x = 120
⇒ x = 120/4
x = 30 cm
∴ The longer side = 30+10 = 40 cm
