Find the coordinates of the points which divide the line segment AB in the given ratio in each of the following cases . 1.A(2,4) ,B(-3,9) 1:4 internally 2.A(-3,-4),B(3,5) 3:2 externally 3.A(5,1) ,B(8,-2) 4:3 internally 4.A(1,6),B(3,-2) 3:1 internally 5.A(1,2),B(6,-1) 4:2 internally

In triangle abc segment de is parallel to the side ac . (the endpoints of segment de lie on the sides ab and bc respectively). find de, if ac=20cm, ab=17cm, and bd=11.9cm;

The vertex of this parabola is at (-2, 5). which of the following could be it’s equation? a. y=3(x+2)^2-5 b. y=3(x-2)^2-5 c. y=3(x+2)^2+5 d. y=3(x-2)^2+5

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.