Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Answer:
I think its B.) Yes, because the ratios simplify to the same number., sorry if it's wrong
Step-by-step explanation:
50/10 = 1/5
60/12 = 1/5
70/14 = 1/5
80/16 = 1/5
They all simplify to the same proportion.
Answer:
The solution of the differential equation is 
Step-by-step explanation:
The differential equation
is a first order separable ordinary differential equation (ODE). We know this because a separable first-order ODE has the form:

where <em>g(t)</em> and <em>h(y) </em>are given functions<em>. </em>
We can rewrite our differential equation in the form of a first-order separable ODE in this way:

Integrating both sides

The integral of left-side is:

The integral of right-side is:

We can join the constants, and this is the implicit general solution

If we want to find the explicit general solution of the differential equation
We isolate B

Recall the definition of |x|

So

where 
Now B(1) =30 implies

And the solution is

Reflection across the x-axis because all y-coordinates for triangle DEF are the opposite for the y-coordinates in triangle D'E'F'.