Answer:
3.25
Step-by-step explanation:
Perimeter of triangle = 3(5) = 15 cm
Perimeter of rectangle = 2(2x - 3 + 4)
Perimeter = 2(2x + 1)
Perimeter = 4x + 2
4x + 2 = 15
4x = 15 - 2
4x = 13
x = 13/4
x = 3.25
<span>A fraction is normally expressed in its lowest form. It means that there is no common factor for the numerator and denominator. A common factor is a number that can divide both the numerator and the denominator without a remainder.
A fraction in its lowest form can have any number of equivalent fractions. To create equivalent fractions, multiply both the denominator and the denominator by the same number. For example, 1/2 will become 2/4 when multiplied by 2 and 3/6 when multiplied by 3. We can use any number to multiply but we must multiply both the numerator and the denominator.</span>
The general form of a solution of the differential equation is already provided for us:
where 
. We now want to find a solution 
such that 
and 
. Therefore, all we need to do is find the constants 
and 
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative 
first. In this case, we have:
Therefore:
This means that we must solve the following system of equations:
If we add the equations above, we get:
If we now substitute 
into either of the equations in the system, we get:
This means that the solution obeying the initial conditions is:
Indeed, we can see that:
which do correspond to the desired initial conditions.
Answer:
Step-by-step explanation:
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