Hey there! I'm happy to help!
To find the x-value of the midpoint, you add the x values and divide by 2.
6+10=16
16/2=8
And for the y value, you do the same thing but with the y values.
-10+7=-3
-3/2=-3/2
Therefore, our midpoint is (8,-3/2).
Have a wonderful day! :D
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
The slope can be found from two points.
The two points from the graph are (1, 9) and (2, 12).
Plugging in the values and evaluating.
The slope of the line is 3.
The y-intercept of the line is where the line cross the y-axis.
The line crosses the y-axis at (0, 6).
The slope-intercept form of the line is:
Answer: Option A is correct.
Step-by-step explanation:
- The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.
It lies between -1 and 1.
If the correlation coefficient in an ordinary least squares regression = 1.00.
That indicates that there is a perfect relationship between the variables.
i.e. all the data points must fall exactly on a straight line with a positive slope. .
[when r is positive, the slope of the line is positive].
i.e. option A is correct.
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
