web2.0calc
 
+0  
 

 Quadratic Functions 20-1; completing the square

0
55
1
avatar+0 

Annette takes a jump on her snowmobile and lands on a level snowfield several meters from her takeoff point. Her path through the air could be described using the function y= -0.25x^2 + 2.5x where x and y are measured in meters.

 

Determine the distance horizontally from the takeoff point to where Annette landed.

 Jan 16, 2024
edited by DanStar  Jan 16, 2024

1+0 Answers

 #1
avatar+129895 
+1

Write as

 

-(1/4)x^2 + (5/2)x  =  0

 

Find the roots

 

 

Factor as

 

-x [ (1/4)x - (5/2)  ]  = 0

 

Set the factors  to  0 and  solve  for  x

 

-x  =  0            (1/4)x - (5/2)   =0

x  = 0              (1/4)x = (5/2)

                              x = (5/2)(4/1)  = 10

 

The roots are

 

x = 0   and  x  = 10

 

The horizontal dstance =  10 -  0    =    10 (meters)

 

 

cool cool cool

 Jan 16, 2024

3 Online Users

avatar

Top Users

avatar+129895 CPhill moderator
avatar+118680 Melody moderator
avatar+33661 Alan moderator
avatar+15000 asinus moderator
avatar+2489 GingerAle
avatar+1926 NotThatSmart
avatar+1557 parmen
avatar+1459 blackpanther
avatar+1439 kittykat
avatar+1286 learnmgcat
avatar+1277 Bosco

Sticky Topics