The distance formula is d=\sqrt{(x_{2}, x_{1})^{2} +(y_{2}, y_{1})^2
7=x1
4=y2
-8=x2
4=y2
Just plug in the missing values into the equation and solve the equation :)
The box’s radius would be 3 because to get radius, you simply divide the diameter by 2. hope this helps!
Say each child collects x shells. so, total shells collected are (n+13)x =n^2+10n-18
x=(n^2+10n-18)/(n+13)=[n(n+13)-3(n+6)]/(n+13)=n-[3(n+6)/(n+13)] = a natural number
for different values of n, we get different values of x.but we want n such that x is a natural number. we can observe by putting n=1,2,3... that n=8 gives x=8-2=6.
so, n=8 is certainly an answer.
The value of x is 11
Explanation:
Given that the triangles UVW and UST are similar.
Since, the triangles are similar, then their sides are proportional.
Thus, we have,

Multiplying both sides by 18, we get,

Simplifying, we get,

Dividing, we get,

Subtracting both sides by 11, we have,

Dividing both sides by 5, we have,

Thus, the value of x is 11
For a relation to be a function, each member of the domain must have a corresponding member in the range. This means that no input ( i.e. x) must have more than one output.
Therefore, to identify if a graph is a function, draw a vertical line across the graph, if the vertical line touches or intersects the graph at more than one point, it means it is not a function.