MATH

Point of Division of line Segment

100

B(X1+r9X2-X1),  Y1+r(Y2-Y1))

What are the COORDINATES of the POINT of DIVISION

200

B(-3,2)

given points A(9,5) and C(-7,1) find the coordinates of point B on AC such that the ratio of AB : BC is 3 :1

300

B(-3,2)

given point A at (-1,,4) and C(-7,1). Find the coordinates of point B on AC such that the ratio of AB : BC is 3:1

400

 B(5,3)

point A is at (2,1) and point C is at (11,7). find the coordinates of point B on AC such that the ratio of AB to BC is 1:2

500

B (1,0)

what are the coordinates of point B on AC such that the ratio of AB to AC is 2: 5 , if point A is at (-5,-4) and point C is at (10,6)

Each identical marble is marked by a number from 1 to 20 and were placed in a jar.A marble will be drawn at random from the jar. Find the probability of each event

100

p(divisible by 4) = 5/20 or 1/4

drawing a marble whose number is divisible by 4 

200

P(less than 16) = 15/20 or 3/4

drawing a marble whose number is less than 16 

300

p(perfect square) = 4/20 or 1/5

drawing a marble whose number is a perfect square

400

P(prime) = 8/20 or 2/5

drawing a marble whose number is prime 

500

p(even number) = 16/20 or 1/2

drawing a marble whose number is even 

Elimination Method

100

x=-1

y=3

3x+9y=24

2x+9y=25

200

x=1.8

y=5.1

5x+y=9

10x-7=-18

300

x=4

y=-14

3x - 2y=24

9x+5y=6

400

x=-1

y=9

2x-y=-11

3x+2y=15

500

x=4

5x-3y=11

2x+y=11

Elimination method/ distance & midpoint

100

y=-1

x=6/8 or 3/4

8x+5y=1

8x-3y=9

200

y=1

4x +7y = 15

4x-5y=3

300

x=5

2x+3y=22

5x-2y=17

400

x=4

7x-3y=13

4x+y=21

500

d=13

midpoint = (2, 11/2)

G(-4,3)&Q(8,8)

distance and midpoint

100

d=10 units

midpoint AB(2,6)

A(5,10)&B(-1,2)

200

d=13 units

midpoint (-1/2,-1)

C(-3,5)&D(2,-7)

300

d=8.9442719

midpoint =(2,9)

R(-2,7)&T(6,11)

400

d=17

midpoint = (-2,-5/2)

H(-1,-10)&K(2,5)

500

d= 15

midpoint = (11/2,2)

P(1,-4)&M(10,8)