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 (x, y), and stops at the gas station at (5,9). If the part to whole ratio is 3/7 What is X and Y

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

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: