The points (6,6) and (8,h) fall on a line with a slope of
–
3. What is the value of h?

h=3

Step-by-step explanation:

(12-6)/(h--5)=3/4 ~ basic slope equation

6/(h+5)=3/4 ~ simplification

24=3(h+5) ~ multiply both sides by (h+5) and 4 to clear the fractions

24=3h+15 ~ distribute the 3

9=3h ~ subtract 15

h=3 ~ divide by 3

Step-by-step explanation:

slope = -3

slope = (h-6)/(8-6) = (h-6)/2 = -3

h-6 = -6

h = 0

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.