Answer: 85.5
Step-by-step explanation:
There are 22 data points in the data set.
We can find the median by looking at the 11th and 12th scores, and averaging them.
The 11th score is 85
The 12th score is 86
The average of the two is 85.5
Hence the answer is 85.5
The answer is a scalene triangle
The answer is 1/2. Multiply 3/4 by 2/3.
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
By segment addition rule AB + BC = AC
3x + 2x - 7 = 2x + 35
3x = 42
x = 1 4
CHECK
3(14) = 42
2(14)-7= 21
-------------------
2(14)+ 35= 63
