The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
The correct answer is Zero
Answer:
2nd choice
Step-by-step explanation:
to find the inital peanuts, we multiply 32 ounces by 3/10 or 0.3. then we add x which are peanuts as well. that makes 0.3 x 32 + x. this is our total peanuts. to find the percantage, we find the whole mixture which is now 32 + x, divide peanuts by the whole mixture and multiply by 100.
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
