Answer:
By the Pythagoras theorem, the hypotenuse (c), is equivalent to:
a^2+ b^2= c^2 where a and b are the other two sides of the right angled triangle, hence c= square root (15^2+ 20^2)= 25
Answer:
We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.
Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.
So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.
For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.
Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.
This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.
Answer:
Step-by-step explanation:
Ok so to find constant of proportionality, you need to find K.
X would be gallons and y is cost.
To find k you need to do k=y/x
k=17.50/5
k=3.5
That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.
k=35/10
k=3.5
k=52.50/15
k=3.5
For all of those 3.5 was constant.
Because they are constant, that means the data in the graph is a proportion.
An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.
k=52.50/16
k=3.28
That be different from the other 3.5's meaning its not proportional. But that's just an example.
If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3