Asap 20 points 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 work.

DISTANCE FORMULA:

sqrt((y2-y1)^2 + (x2-x1)^2)

sqrt((3-(-2))^2+(10-1)^2) = 10.30  

LINE SEGMENT = 10.3 in length

4:1 means 4 parts + 1 part = 5parts

10.30/5  = 2.06  

10-2.06 7.94  

3-2.06 0.94  

M (7.94, 0.94)

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204