To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
Easy peasy
the midpoint between
and
is
just average them
so given that (3,5) is the midpoint of (-4,5) and (x,y)
so by logic
and
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5
the coordinate of point C is (10,5)
the x coordinate is 10
Answer:1.07
Step-by-step explanation:
You just have to divide 3.21/3 and your get 1.07 and to make sure you multiply the 1st number by 1.07 and your get the second number.
The parallel line:
y = mx + c
y = 5/7x + 7
Gradient of parallel line = 5/7
y = mx + c
y = 5/7x + c
-2 = (5/7 x -5) + c
-2 = -25/7 + c
-2 + 25/7 = c
c = 11/7
y = 5/7x + 11/7
The perpendicular line
y = mx + c
y = 5/7x + c
m = 5/7
Gradient of perpendicular line = -1/(5/7) = -7/5
y = mx + c
y = -7/5x + c
-2 = (-7/5 x -5) + c
-2 = 7 + c
-2 - 7 = c
c = -9
y = -7/5x - 9
Proof: square roots of prime numbers are irrational. the square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers.
moreover, √7= 2.645751311064590
This is an irrational. number
