X+y=16
the sum of the squares is
x^2+y^2=sum
solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation
x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8
at x=8
so then y=16-8=8
the smallest value then is 8^2+8^2=64+64=128
To find 2/3 of an hour first we will divide 1 hour that is 60 mins into 3parts so we will get 20 mins.
Y = 5(3x)....y = total number of bowls and x = number of weeks
for 4 weeks......x = 4
y = 5(3*4)
y = 5(12)
y = 60...so the family will eat 60 bowls in 4 weeks
Answer:
The approximate speed of the robot during the 5 seconds is:
Step-by-step explanation:
To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:
With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:
-


- Speed = 6.09 ft/s
As you need the speed in the nearest whole number, then: