Answer:
x = 10
Step-by-step explanation:
5x - 6 = 44
Add 6 on both sides of the equation.
5x = 50
Divide by 5 on both sides of the equation.
x = 10
So, the value of x is equal to 10
Answer: A= 68 square centimeters
Step-by-step explanation:
A= +/2 x h
6+11=17
17/2=8.5
8.5 x 8= 68
Answer:
Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives
Integration on both sides gives
where is a constant of integration.
The steps for solving the integral on the right hand side are presented below.
Therefore,
Multiply both sides by
By taking exponents, we obtain
Isolate .
Since when , we obtain an initial condition .
We can use it to find the numeric value of the constant .
Substituting for and in the equation gives
Therefore, the solution of the given differential equation is
Answer:
See explanation
Step-by-step explanation:
a) To prove that DEFG is a rhombus, it is sufficient to prove that:
- All the sides of the rhombus are congruent:
- The diagonals are perpendicular
Using the distance formula;
Using the slope formula;
The slope of EG is
The slope of EG is undefined hence it is a vertical line.
The slope of DF is
The slope of DF is zero, hence it is a horizontal line.
A horizontal line meets a vertical line at 90 degrees.
Conclusion:
Since and , DEFG is a rhombus
b) Using the slope formula:
The slope of DE is
The slope of FG is