Given point a(6, 12), point b(15, –4), and point c(20, 12), find the coordinates of the point that partitions the directed line segment into the given ratio.

directed line segment

ratio 1 : 1

directed line segment

ratio 5 : 2

directed line segment

ratio 2 : 3

Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm. 160 cm2 140 cm2 180 cm2 126 cm2

Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test

Here is another math questions. i will keep asking different questions. 4^2x=6