Answer:
Step-by-step explanation:
Given is an equation in three variables
where the three variables are non negative integers.
Since sum =10, and each integer has minimum value 1, we find that each variable can take values as 1,2,...8 only
If first variable is 1, the other two can be 1,8 or 2,7 or... 8,1 ... 8 ways
If first variable is 2, ... the other two can be 1,7 or 2,6 or..7,1 ... 7 ways
This will go up to first variable =8
Thus we have total number of solutions as
Thus possible solutions are 36
Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
Answer:
x ∈ ℝ
Step-by-step explanation:
Since this is a constant function, this domain is the set of all real numbers.
Hope this helped! :)
A system of equations has at least one point in common in the solution (unless it is a special case)
A system of inequalities has regions of common solutions. (always an infinite number of solutions)
