Answer:
<h2>1</h2>
Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
Answer:
13
Step-by-step explanation:
The hypotenuse is always the longest side on a right triangle.
To find any missing value add the other 2 values and whatever they equal must be greater than the hypotenuse
Presenting the table vertically makes it easier to read:
X F(x)
-1 -5
0 -1
1 3
I see that if x increases by 1 from 0 to 1, y increases by 4 from -1 to 3. Thus, the slope of the line represented by the table is:
4
m = -------------- = 4/1 = 4
1
So, our two lines have the same slope: 4.
g(x) = 4x + 3; f(x) = 4x - 1
but they have different y-intercepts. Thus, the 2 lines are parallel and never cross one another.