Consider the rectangle shown. 3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?

Step-by-step explanation:

Perimeter of rectangle = 2(a+b) or 2a +2b

a=perimeter of the first side of the rectangle

b=perimeter of the second side of the rectangle

Perimeter = 2(3x+5 + 2x-1)=52

Open the bracket by multiplying the number outside by the number inside

=6x+10+4x-2=52

C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes

6x+4x=52-10+2

10x=44

D.B.S by 10, to make variable X subject

x=4.4

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.