Question

Point A is at (-8,7.5) and point B is at (6,3.5). If point M = (1-t)A + tB = (-4.5,6.5), what is the value of t?

a) 0.5

b) 0.6

c) 0.7

d) 0.8

Answer 1

To find the value of t, set up equations using the coordinates of the points. The value of t is found to be 0.175.

Step-by-step explanation:

To find the value of t, we can set up two equations using the given information.

The coordinates of point M can be expressed as:

(1-t)(-8,7.5) + t(6,3.5) = (-4.5,6.5)

Expanding this expression gives us:

(-8 + 14t, 7.5 - 4t) + (6t, 3.5t) = (-4.5, 6.5)

Equating the x-coordinates and y-coordinates separately, we get:

-8 + 14t + 6t = -4.5

and

7.5 - 4t + 3.5t = 6.5

Simplifying these equations gives us:

20t = 3.5

and

-0.5t = -1

Dividing both sides of the equations by their respective coefficients, we find that t = 0.175.

Answer 2

d

just think abt it it is d