C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
the slope is -1 over 4
y intercept is (0,-8)
Step-by-step explanation:
Answer:
Multiplication is commutative.
Step-by-step explanation:
Let n,m be two natural numbers.
We have to show that 
We will prove this by induction
For n = 1, we have 
, which is true.
Let the given statement be true for n-1 natural numbers, that is,
Now, we have to show that it is true for n natural numbers.
which is equal to
Hence, by principal of mathematical induction, the given statement is true for all natural numbers.
You can get through anything if you really set your mind to it don’t let your words or anyone else’s words inhibit you
