What is the location of point R on the number line?On a number line, the directed line segment from Q to S has endpoints Q at –2 and S at 6. Point R partitions the directed line segment from Q to S in a 3:2 ratio. Rachel uses the section formula to find the location of point R on the number line. Her work is shown below. Let m = 3, n = 2, x1 = –2, and x2 = 6.

let analyze this

Step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: