comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as
so substituting the value of m in to the equation
=
as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
657680
Step-by-step explanation:
just did the math
Step-by-step explanation:
(a) n² + 3
First term = 1² + 3 = 4
Second term = 2² + 3 = 7
Third term = 3² + 3 = 12
Fourth term = 4² + 3 = 19
10th term = 10² + 3 = 103
(b) 2n²
First term = 2(1)² = 2
Second term = 2(2)² = 8
Third term = 2(3)² = 18
Fourth term = 2(4)²= 32
10th term = 2(10)² = 200
Hence, this is the required solution.
Answer:
Yes, this relation is a function.
Step-by-step explanation:
It is a function because every input (left side) only has one output (right side). It doesn't matter if an output has multiple inputs. As long as an input has only one output, it is a function
Ex: 3 = 8 & 7 NOT an input
4 & 3 = 8 AN input
