Point j (-2,1) and point k (4,5) form line segment jk. for the point p that partitions jk in the ration 3: 7, what is the y- coordinate of p?

2.2

Step-by-step explanation:

If  point P (Xp, Yp) divides a line segment from J (Xj, Yj) to K (Xk, Yk) in the ratio a:b, then the y-coordinate of P is

Yp = Yj + a/(a+b) * (Yk - Yj)

Here Yj = 1, Yk = 5, a = 3 and b = 7. Replacing

Yp = 1 + 3/(3+7) * (5 - 1)

Yp = 2.2

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer

you start with $5 and save $10 a week until you have at least $45wer

step-by-step explanation: