Answer:
B
Step-by-step explanation:
Slope of the line is -3. y-intercept is 3.
So, the rule for this line is y= - 3x+3.
The pattern of y-values that can fit is B.
y=0, x= 1
y=-3, x=2
y=-6, x=3
and so on.
Answer:
Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Step-by-step explanation:
Answer:
x = 12, sides = 23
Step-by-step explanation:
Since 
is equilateral, all three sides are equal. Therefore:
![\left[\begin{array}{l}y=2x-1\\y=5x-37\\y=x+11\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bl%7Dy%3D2x-1%5C%5Cy%3D5x-37%5C%5Cy%3Dx%2B11%5Cend%7Barray%7D%5Cright%5D)
Substituting y = x + 11:
![\left[\begin{array}{l}x+11=2x-1\\x+11=5x-37\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bl%7Dx%2B11%3D2x-1%5C%5Cx%2B11%3D5x-37%5Cend%7Barray%7D%5Cright%5D)
Solving for x:
Substituting x = 12:
Thus, <em>x</em> = 12 and the length of each side is 23.
Answer:
24
Step-by-step explanation:
The interquartile range defines the difference between the third and the first quartile.
Let's put this data set in ascending order:
24, 36, 48, 52, 52, 60, 72
The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.
Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.
Hope this helped! :)
