For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
A. Reflection
Step-by-Step Explanation:
you're reflecting the line across the x-axis, and that transforms f(x) into g(x).
If the rounding is to the nearest ten, then the greatest one
is 67,404 and the smallest one is 67,395 .
If the rounding is to the nearest hundred, then the greatest one
is 67,449 and the smallest one is 67,950 .