Answer:
y= 2x -3
Step-by-step explanation:
Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.
4x -2y= 3
2y= 4x -3
<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus the gradient is 2.
Parallel lines have the same gradient thus the line would also have a gradient of 2.
Substitute m=2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x=2, y=1,
1= 2(2) +c
1= 4 +c
c= 1 -4
c= -3
Thus, the equation of the line is y= 2x -3.
Answer:
see below
Step-by-step explanation:
For simplifying expressions of this sort, there are four rules of exponents that come into play;
__
I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.
Answer:
calories
Step-by-step explanation:
Given: The racer moves at 
miles per hour expends energy at a rate of 
calories per hour.
To find: Energy in calories, required to complete a marathon race 
miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles 
calories.
Now, energy expended while moving 
mile 
calories.
So, energy expended while moving miles 
calories.
Hence, calories of energy is required to complete a marathon race miles at this pace.
See attached photo for solution
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