A point M on a segment with endpoints X(1,-2), and Y(10,3) partitions the segment in a 4:1 ratio. Find M. You must show all your work to receive credit.

Given:

A point M on a segment with endpoints X(1,-2), and Y(10,3) partitions the segment in a 4:1 ratio.

To find:

The coordinates of the point M.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that points are:

The point M divide the line segment XY in 4:1. So, by using the section formula, we get

Therefore, the coordinates of point M are (8.2,2).

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

beluga wheeeaaalle matt

step-by-step explanation: