Answer:
The median grade would be 89
Step-by-step explanation:
To find the median, first put the numbers all in ascending order.
79, 80, 86, 92, 95, 96
Now isolate the middle term or terms. Since there is an even amount of numbers, we pick the two in the middle. To find the median, we take an average of those terms.
(86 + 92)/2 = 89
Answer:
-3 X 7= -21
Step-by-step explanation:
P=4s
s=p/4
a=s^2, using s found above
a=p^2/16, we were told that p=40 so
a=40^2/16
a=100 in^2
Well to find this line you want to know the slope and the y-intercept. So find the slope:
(y2-y1)/(x2-x1)
12-2 = 10
2-7 = -5
10/-5 = 2/-1
-2 is your slope
Now for y-intercept, find the point closest to the y-axis. That is the point (2,12), and if your slope is negative 2, that means that if you go up 4 and left 2, you should find the y-intercept:
12 + 4 = 16
16 is your y-intercept
So now lets write this out in an equation:
y = mx + b
m = slope
b = y-intercept
y = -2x + 16
there you go! hope this helps!
Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ 
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83
