Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
Answer:
C
Step-by-step explanation:
This is because
Area= L×L
therefore the length is needed
<span>The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides </span>⇒
<span>
10/12 = (3x+2)/(5x-0.4)
10(5x-0.4) = 12(3x+2)
50x - 4 = 36x + 24
50x - 36x = 24 + 4
14x = 28
x = 28/14
x = 2
QS = 3x + 2 = 3*2 + 2 = 6 + 2 = 8
SR = 5x - 0.4 = 5*2 - 0.4 = 10 - 0.4 = 9.6
Answer is QS=8, SR=9.6
</span><span>
</span>
We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of 
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus, 
(using the product rule which states that 
)
Taking the common factors out we get:
Thus, 
at 
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through 
and has slope m is given by:
Thus, the equation of the tangent line which passes through 
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.
It depends completely on the specific scatter plot. Do you have an image? If the scattering is moving upwards as you go right on the x-axis it is a positive correlation.
