Answer:
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence the gradient of line r is 
.
Susbt. m=,
To find c, substitute a coordinate.
When x=3, y= -9,
-9= 1 +c
c= -9-1
c= -10
Thus the equation of line r is .
Answer: A number times 5 plus 2
Step-by-step explanation:
With all trig functions, the period can be calculated with the equation PB = 2π.
P = period
B = anything in the tangent part of the equation except the x. (in this case, it would be 6)
When we plug in 6 for B, we get 6P = 2π.
Divide both sides by 6 and you get P = 2π / 6
OR
P = π/3
Answer: in the 3 pairs we can find a rational number.
Step-by-step explanation:
A rational number can be any number written as a quotient of two integers.
The rational numbers have a finite number of decimals after the point (or periodic)
a) (-10, -9)
between those two numbers we have, for example, -9.5
and we can write this as:
-9.5 = 95/100
b) (5.91, 5.92)
between these numbers, we have the number 5.915
and we can write it as: 5.915 = 5915/1000
c) (2/3, 4/5)
between 2/3 and 4/5 we have for example the number 3/4.
because 2/3 = 0.66....
4/5 = 0.80
a number between those two is 0.75 = 3/4.
