F(x)=-9/x which is equal to:
f(x)=-9x^(-1) So the power rule for differentiation is used...
Power rule: f(x)=x^e, df/dx=ex^(e-1) so:
df/dx=-9(-1)x^(-1-1)
df/dx=9x^(-2) or if you prefer...
df/dx=9/x^2
df/dx(6)=9/36=1/4
Answer:
May you provide images?
Step-by-step explanation:
Answer:
13/20
Step-by-step explanation:
To add fractions without the common denominator, you have to make them equal so
1/4 x 5 = 5/20
2/5 x 4 = 8/20
5/20 + 8/20 = 13/20
Answer:
x-4
Step-by-step explanation:
Since the larger of two numbers is four more than the smaller one, this means that there is a difference of 4 between the two numbers. In order to find the smaller of both numbers, you can obtain the smaller from the largest by subtracting 4.
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.