(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)



(separate the variables)


(by letting c = ln k and using log laws)

(raise everything to power e)

(applying boundary conditions)
Particular solution:
Answer:
B. Distributive property
Step-by-step explanation:
The distributive property says

You are given the expression

Denote

then your expression is

Here, you can see that distributive property was used.
Now, change c into the
again

to get the distributive property for the initial expression
Answer:
(A) 
Step-by-step explanation:
Opposite,AB = 4,
Hypotenuse,BC = 5
Adjacent, AC = 3.

Answer:
<h2>D. 26.5 mm</h2>
Step-by-step explanation:
A median of trapezoid is a line segment between the midpoints of the legs of a trapezoid (<em>look at the picture)</em>.
The formula of a length of a median of a trapezoid:

<em>a, b</em><em> - bases</em>
<em />
We have <em>a = AB = 19mm</em>, and <em>b = DC = 34 mm</em>. Substitute:

Answer:
x = 57
Step-by-step explanation:
Angles of a triangle all add up to 180 so:
x + 78 + 45 = 180
x + 123 = 180
x = 180 - 123
x = 57