Answer:
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
Answer:
y=3x-7
Step-by-step explanation:
we use the equation of the line:
y=mx+b
if the line is parallel, then the slope(m) of the line stays the same:
y=3x+b
we then substitute the ordered pair into the equation and solve for b:
-13 = 3(-2)+b
-13 = -6+b
-13+6 = b
-7 = b
now we substitute the b value into the original equation and the answer:
y=3x-7
Hope this helps :)
I would say C. is the correct answer
Answer:
70 [milliliters]
Step-by-step explanation:
Since the solution consists of 90% alcohol, the 63 milliliters of alcohol must represent 90% of the entire solution. Let the solution have 
milliliters in total. We have the following equation:
Divide both sides by 0.9:
Therefore, there are 70 milliliters in the solution.
