Answer:

Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.




adding x and 6 on both sides we get

Hence this is our equation of the line passing through (5,6) & (4,7)
Total time (1 2/3 hours) minus the time spent stretching (1/4 hour) minus the time spent showering (1/3 hour) equals the time spent running.
x= time spent running
x= 1 2/3 - (1/4 + 1/3)
change 1 2/3 to improper fraction
x= 5/3 - (1/4 + 1/3)
need to multiply by a common factor
3 and 4 go into 12 evenly
5/3= 20/12
1/4= 3/12
1/3= 4/12
x= 20/12 - (3/12 + 4/12)
x= 20/12 - 7/12
x= 13/12
change back to mixed fraction
x= 1 1/12 hours spent running
Hope this helps! :)
A) height of a cylinder: 7.96
b) height of come: 1.43
c) radius of cylinder: 4.07
d) radius of cone: 2.82
e) radius of sphere: 9
use the following formulas to solve:
a) volume= (pi)(radius^2)(height) and substitute what’s given
b) (1/3)(pi)(radius^2)(height) and substitute the given
c) volume= (pi)(radius^2)(height) and substitute what’s given
d) (1/3)(pi)(radius^2)(height) and substitute the given
e) volume= (4/3)(pi)(radius^2) and substitute the given