Consider the complete question is "The equation of the line
is y=5x+1 and the equation of line
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of
is
.
Equation of
is
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as



...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line
.
On comparing (iii) with (iv), we get slope of line
.
Since,
, therefore, lines
and
and parallel because slope of two parallel lines are always equal.
Hence proved.
1. 4
2. 8
These are the only possible answers
Answer:
C
Step-by-step explanation:
Growth can be represented by the equation
. We know that r=2% or 0.02 in this situation so we have 1.02. We know t=100 hours and the starting population A=200. We substitute these values and use a calculator to evaluate.
We now use our calculator to evaluate the exponent first and then multiply by 200.

Answer:
- sin(X) = 4/5
- cos(X) = 3/5
- tan(X) = 4/3
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relations between sides and trig functions in a right triangle.
Sin(X) = Opposite/Hypotenuse = 24/30 = 4/5
Cos(X) = Adjacent/Hypotenuse = 18/30 = 3/5
Tan(X) = Opposite/Adjacent = 24/18 = 4/3
_____
You may be expected to leave the trig ratios in the original unreduced form.