NEED ANSWER ASAP George decides to walk from his home to Tina’s house down the street. On the way, he stops at the gas station to get some snacks. He begins at (2,3), ends at (9,17), and stops at the gas station at (x, y). If the part to part ratio is 3:4, what is the coordinates of the gas station? (Type out as a coordinate)

x = 12 and y = 23

So what we are saying is that the coordinates of Tina’s house down the street is (12,23)

Step-by-step explanation:

What this question is actually telling us is that the gas station divides the segment from George’s home to Tina’s house in the ratio 3 to 7; we now want to find the coordinates of Tina’s house which is the end of the line segment.

Mathematically, to get this division, we would have employed the use of the internal division formula;

Coordinates of gas station = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)

m = 3 , n = 1

(x1,y1) = (2,3)

(x2,y2) = (x,y)

So therefore;

(5,9) = 3(x) + 7(2)/3+7) , 3(y) + 7(3)/(3+ 7)

(5,9) = (3x + 14)/10, (3y + 21)/10

Hence;

(3x + 14)/10 = 5

3x + 14 = 10(5)

3x + 14 = 50

3x = 50-14

3x = 36

x = 36/3

x = 12

Also;

(3y + 21)/10 = 9

3y + 21 = 9(10)

3y + 21 = 90

3y = 90-21

3y = 69

y = 69/3

y = 23

true? is that what you're asking or do you mean something else?

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.