For the line segment whose endpoints are X(1, 2) and Y(6, 7), find the x value for the

point located 1/3 the distance from X to Y. (6 points)

O 1) 3.5

2) 3.3

3) 2.7

O4) 2.4

3) 2.7

Step-by-step explanation:

The distance between two points and can be determined by:

Since the points are X(1, 2) and Y(6, 7). The distance between the two points is

the x value for the  point located 1/3 the distance from X to Y,

The x value =

3) x ≈ 2.7  

Step-by-step explanation:

X is at (1,2) and Y is at (6,7)

A point that is ⅓ of the distance from X to Y also divides the differences of the x-and y-coordinates in the same ratio.

For the x-coordinate,

x₂ - x₁ = 7 - 2 = 5

⅓ × 5  = 5/3  

1 + 5/3 = 8/3

The x-coordinate of the point is x = 8/3 ≈ 2.7.

The graph below shows that the point one-third of the distance from X to Y has an x-coordinate of approximately 2.7.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew