Answer:

Step-by-step explanation:
In coordinate geometry distance between the two points can be find by using the distance formula:
For two points :

For points: P(3,-1) and Q(-5,6)
Distance (PQ):

A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution. So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7
Answer:
x= 8.1
Step-by-step explanation:
The given triangle is a right angle triangle.
We cannot use the Pythagoras theorem as the lengths of all sides are not known. We will use triangular ratios here to solve the given problem.
As it is clear from the diagram that x is the hypotenuse of the triangle and 11 is the length of the base. We will use a ratio in which base and hypotenuse are used.
So,
cos θ= base/hypotenuse
cos 36=x/10
0.8090=x/10
8.090=x
x=8.090
Rounding off to nearest 10
x=8.1
Divide the total pieces by the number of kids:
108 pieces / 9 kids = 12 pieces per kid.