Answer:
21.5%
Step-by-step explanation:
The area of the 4 circles together = 4×π×12^2
The area of the square = 48^2
then the probability that the point is in one of the circles =
(4×π×12^2)÷48^2
=0.785398163397
Therefore, the probability that the point is not in a circle =
1 - 0.785398163397 = 0.214601836603
converted into percentage : 21.4601836603
rounded = 21.5%
Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator
m=-2-3/4-8
-5/-4
m=5/4
Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)
3=5/4(8)+b
3=10+b
-7=b
Equation: y=5/4x-7
Answer: -2
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Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.
Repeat the same steps as before to find that (8,4) is also on the parabola
We need to find the slope of the line through (4,12) and (8,4)
m = (y2 - y1)/(x2 - x1)
m = (4-12)/(8 - 4)
m = -8/4
m = -2
The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.
The line goes down 2 units each time you move to the right 1 unit.
A =
5 and -5
-1 and 3
¹/₃B =
-6 and 12
-7 and 7
¹/₃B + A =
-1 and 7
-8 and 10
