The answer is twelve rows.
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:
- 1/5
Step-by-step explanation:
Slope of a line passing through two points can be calculated as:
The given points are (-2, -1) and (8, -3). Using the values in above formula, we get:
Thus the slope of the line through the given points is -1/5. So 2nd option gives the correct answer
Answer:
Step-by-step explanation:
we know that
To find how many people live in that city multiply the population density by the area of the city
so
I believe the answer would be (-3,-5).
Place the equations on top of each other and figure out how to cancel out one of the digits to get your answer. Try canceling out 2x. Multiply the entire equation y=x+3 by -2 to contradict the second equation. y=x(-2)+3(-2) then you'd get y=-2x-6. -2x-6 above 2x+1, solve. -2 and 2 cancel out so you're left with -6+1, therefore, y=5. Now that you have your y, you must solve for x. Using substitution to solve the equation (I picked 2x+1) you'd get -5=2x+1. Subtract 1 on both sides. +1-1=0 so that cancels out. -5-1=-6 and you're left with -6=2x. So you subtract 2 on both sides because 2 has the variable, and you are left with x=-3. Therefore, the answer is (-3,-5).
