EmmariC639125 EmmariC639125
  • 03-11-2022
  • Mathematics
contestada

What are the coordinates of the point on the directed line segment from (-1,1) to (8, 10) that partitions the segment into a ratio of 2 to 1?

Respuesta :

AyzleeI414805 AyzleeI414805
  • 03-11-2022

Point 1 = (x1,y1)= (-1,1)

Point 2 = (x2,y2)= (8,10)

xp,yp= ? (coordinates of the point)

a:b= 2:1

xp= x1+ a/a+b (x2-x1)

xp= -1+ 2/2+1 (8-(-1))

xp= -1+2/3 (8+1)

xp= -1+2/3(9)

xp= -1+ 6

xp= 5

yp= y1 + a/ a +b (y2-y1)

yp= 1 +2/3 (10-1)

yp =1+2/3 (9)

yp=1+6

yp=7

xp,yp = (5,7)

Answer Link

Otras preguntas

If a force of 10 N is applied to a 4.5 kg object, then the object will accelerate at 2.22 m/s2. True or False?
The Russian lawmaking body was called
What is the best paraphrase of the story
Find the volume of the composite figure.
Two friends, Alejandra and Mia, agreed to split the check at a restaurant. Alejandra ordered $12 worth of food and Mia ordered $18 worth. At the end of the meal
What is the role of hemoglobin in th red blood cell? which white blood cells are most important in body immunity? what property of rbcs dooms them to a limited
A 55-mL solution of H2SO4 is completely neutralized by 46 mL of 1.0M NaOH. What is the concentration of the H2SO4∆H2SO4(aq) +2NaOH(aq) → Na2SO4(aq) + 2H2O(l)
Remontia is trying to remember events from when she was 18 months old but is unable to do so. this is likely due to the fact that her _____ was not fully develo
Periods when little rain falls and crops are damaged are called ?
find the missing factor in the exponential form 60^9=12^9*(Blank)