Answer:
Hope this helps
Step-by-step explanation: Number 81 decreased by 7% (7 percent) of its value (percentage decrease) and calculated absolute change (actual difference). Answer: percentage decreased number = 75.33, absolute change (actual difference) = -5.67
Answer:
8 miles
Step-by-step explanation:
24/3 = 8
The general form for a line through two points (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
This is better than the slope forms because it works in the no slope case, as does the standard form.
If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.
Here we have
(0 - -5)(y - 0) = (-9 - 0)(x - - 5)
5y = -9(x+5)
5y = -9x - 45
9x + 5y = -45
Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.
Answer: 9x + 5y = -45
Check:
We check each point is on the line
(-5,0)
9(-5) + 5(0) = -45, good
(0, -9)
9(0) + 5(-9) = -45, good again
9514 1404 393
Answer:
6
Step-by-step explanation:
The slope of the line between (3, 3) and (4, 9) is given by the slope formula:
m = <average rate of change> = (y2 -y1)/(x2 -x1)
m = (9 -3)/(4 -3) = 6/1
m = 6
The average rate of change on the interval [3, 4] is 6.
