Answer:
Step-by-step explanation:
To find the slope from two points you can use the following formula:
Now substitute the two sets of points
Substitute the values like this:
and
Now you will need to simplify the following expression:
Make sure that denominators are the same before substracting:
when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:
-(11+sqrt(121-4*18))/2 = -(11 +sqrt(49))/2 = -9
Or
-(11-sqrt(121-4*18))/2 = -(11-sqrt(49))/2 = -2
D is the answer
50%. If you divide 28 by 14, (14/28), you’d get 0.5. Move the decimal place two places to the right, and that’s 50% :)
Answer:
k = 30, 
Step-by-step explanation:
Since
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

Then, replacing the derivatives in the equation we have:

Since
is a positive function, we have that
.
Now, consider a general solution
, then, by calculating the derivatives and replacing them in the equation, we get

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is

Answer:
0.73 N to 2 dp.
Step-by-step explanation:
F = k/d^2 where k is a constant , F = force and d = distance.
Substituting:
0.36 = k / (6)^2
k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.
When d = 4.2 :
F = 12.96 / 4.2^2
F = 0.73 Newtons to 2 dp.