Math
posted by Miley .
If the point (x, y) is onethird of the way from (2, 6) to (6,8), then what is x + y?
What is the x+y?

for the x:
(x+2)/(6+2) = 1/3
3x + 6 = 8
3x = 2
x = 2/3
for the y:
(y6)/(86) = 1/3
3y  18 = 14
3y = 4
y = 4/3
(x,y) = (2/3,4/3)
check: distance form (2,6) to (2/3,4/3)
= √( (22/3)^2 + (64/3)^2
= √( 64/9 + 196/3)
=√(260/9)
= (1/3)√260
distance from (2,6) to 6,8)
= √( 64 + 196)
= √260
so the distance checks out
x+y = 2/3 + 4/3 = 6/3 = 2
Respond to this Question
Similar Questions

Physics
You are given two unknown point charges, Q1 and Q2. At a point on the line joining them, onethird of the way from Q 1 to Q2, the electric field is zero. Are Q1 and Q2 like or unlike charges? 
math
In a contest the prizes were to be $100 for the first place, $50 for second and $20 for the third. Instead, there was 2way tie for the first place and one third place. If each first prize is twice the value of the third place award, … 
Geometry
One endpoint of a line segment is (8,1). The point (5,2) is onethird of the way from that endpoint to the other endpoint. Find the other endpoint. 
Algebra POW #10
Amanda worked hard all summer. Before school started,she decided to go shopping and spend some of her earnings. She spent one third of her money on a new shirt and hot fashions in the mall. He then went to andy's music and brought … 
math 2 trigonometry
give me the solution from the top of a building the angle of depression of a point on the same horizontal plane with the base of the building is observed to be 60 degree what will be the angle of depression of the same point when viewed … 
7th grade math Ms. Sue please
1. What are the equivalent fraction and decimal for thirtythree and onethird%? 
7th grade math Ms. Sue please
1. Rename foursevenths as a percent. Round to the nearest tenth of a percent if necessary. (1 point) 47% 1.8% 57.1% 28% 2. Rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. If onethird is equivalent to 33thirtythree and … 
maths
there are two circles touching each other at one point. The radius of bigger circle is 4cm and smaller is 1cm. A small third circle is drawn which touches both the first two circles at one point each. A common tangent passes through … 
Physics
You are given two unknown point charges, Q1 and Q2. At a point on the line joining them, onethird of the way from Q1 to Q2 the electric field is zero . What is the ratio Q1/Q2? 
Algebra
There are 72 questions on a college entrance examination. One point is awarded for each correct answer, and one third of a one third of a point is deducted for each incorrect answer. How many questions does Tami …