Answer:
The solution to the system of linear equations is (1,9).
Step-by-step explanation:
The given system of linear equations
 ... (1)
            ... (1)
 .... (2)
           .... (2)
Subtract equation (2) from equation (1) to eliminate y.
 
 
 
 
On combining like terms, we get
 
 
 
 
Add 8 on both sides.
 
 

Divide both sides by 8.

The value of x is 1.
Substitute x=1 in equation (1).



The value of y is 9.
Therefore the solution to the system of linear equations is (1,9).
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Total Surface Area of cylinder = Lateral Surface Area + Area of both circle bases.
Lateral Surface Area = Circumference of Circle  Height
 Height
Lateral Surface Area = 
Area of one circle base: 
Area of both circle bases: 
Total Surface Area = 
 
        
                    
             
        
        
        
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger. 
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle). 
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
        
             
        
        
        
<span>If you know the Linear pair Theorem, the converse can be easily obtained by switching the condition and the conclusion.
For example,
If it is raining, then the outside is wet.
Converse: If the outside is wet, then it is raining. (It is not always true.)</span>
        
             
        
        
        
Answer:
Step-by-step explanation:
- 4×(1000)+8(100)+10(1)+1(2)