Answer:
The coordinate of point A is -138
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
In this problem
substitute
solve for x_2
therefore
The coordinate of point A is -138
<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
Answer:
16
Step-by-step explanation:
Step-by-step explanation:
The volume of the shell is the volume of the outer sphere minus the volume of the inner sphere.
V = 4/3 π (r+h)³ − 4/3 π r³
V = 4/3 π (r³ + 3r²h + 3rh² + h³) − 4/3 π r³
V = 4/3 π r³ + 4π r²h + 4π rh² + 4/3 π h³ − 4/3 π r³
V = 4π r²h + 4π rh² + 4/3 π h³
If h = 0.1 r:
V = 4π r² (0.1 r) + 4π r (0.1 r)² + 4/3 π (0.1 r)³
V = 0.4π r³ + 0.04π r³ + 0.00133π r³
V = 0.44133π r³
Using the approximation:
V = 4π r² h
V = 4π r² (0.1 r)
V = 0.4π r³
The approximation is reasonable if h is small compared to r.