8.8 squared + 9.5 squared = square root 12.94 rounded 12.1
Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then

So

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer:
(Base x height) x 1/2
Step-by-step explanation:
We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.
Answer:

Step-by-step explanation:
we would like to figure out the differential coefficient of 
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,

to do so distribute:

take derivative in both sides which yields:

by sum derivation rule we acquire:

Part-A: differentiating $e^{2x}$

the rule of composite function derivation is given by:

so let g(x) [2x] be u and transform it:

differentiate:

substitute back:

Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:

let
substitute

differentiate:

Final part:
substitute what we got:

and we're done!