Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
Answer:
40/9
Step-by-step explanation:
You can write 1 4/5 as an improper fraction which is
. 8÷
is the same as
which is 
Answer:

Step-by-step explanation:
The area of the rectangle can be written as:

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

The perimeter of a rectangle can be written as:

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.


now we can substitute this 'h' into our equation of the perimeter.


and voila! we have expressed P in terms of x only.
this can be written as P as a function of x as:

Answer:
No is your answer
Step-by-step explanation:
Its true you are doing it to both side. If you only one side, then the inequality would not be true. Subtract is like adding the negative . number, so you still would have to do it to both side of the inequality so the inequality is true,