Answer:
John would be running 1560 miles in a year
Answer and step-by-step explanation:
a. 4 litres in 5 minutes (litres per minute)
4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes
b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes
60 minutes = 4*15 minutes
4 * 4 = 16 litres per hour
c. 800 kilowatt hours in 2 months
1 year = 12 months = 2*6 months
kilowatt per year = 800 * 6 = 4800 kilowatt per year
Hope this helped :3
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Differentiating both sides of
with respect to <em>x</em> yields (using the chain rule)
Solve for d<em>y</em>/d<em>x</em> :
The answer is then D.
If 
, then by rationalizing the denominator we can rewrite
Now,
and
