The directed line segment,  ab¯, contains the points a(−2,6)   and b(4,−6). what are the coordinates of the point that partitions ab¯  according to the part-to-part ratio 2: 4?

The coordinate of the point is; (0,2)

Step-by-step explanation:

The given line segment has points with coordinates  A(−2,6)

and B(4,−6).

We want to find a point (x,y) that divides this line segment in the ratio:

m:n=2:4

The x-coordinate of this point is given by;

We substitute

The y-coordinate of this point is given by;

We substitute

The coordinate of the point is; (0,2)

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.