Volume of the cylinder ≈ 1470.27
For lines to be perpendicular their slopes have to be negative reciprocals of one another, mathematically...
m1*m2=-1...in this case:
y=5x/3=1/3 so the slope of the lines is 5/3 so any line that has a slope of:
5m/3=-1,
m=-3/5 is perpendicular to the original line...
Plug (-6,-5) into the equations to see wich one fits.
y=9/2 x +22
(-5)=9/2(-6) +22
-5=9*-3+22
-5=-27+22
-5=-5
that's how B is the answer. hope this helps :)
Answer:
5/2
Step-by-step explanation:
f*g = (x+2)(x+1/2) = x^2+5x/2+1
the x term is 5x/2, and the coefficent is 5/2
Answer:
a). L=53+3 D.... equation
b). Total length of the road after the crew has worked 31 days=146 miles
Step-by-step explanation:
Step 1
Find an expression for calculating the total length of a the road as follows;
L=F+(M×D)
where;
L=total length of the road in miles
F=starting length of the road in miles
M=number of miles per day added
D=number of days the crew has worked
In our case;
L=unknown
F=53 miles
M=3 miles per day
D=unknown
L=53+(3×D)
L=53+3 D.... equation
Solve for L when D=31 days
L=53+(3×31)
L=53+93=146
Total length of the road after the crew has worked 31 days=146 miles
