Answer:
Step-by-step explanation:
Here you go mate
Step 1
(2x-2)=8 Equaion/Question
Step 2
(2x-2)=8 Simplify
(2x-2)=8
Step 3
(2x-2)=8 Add 2
2x=10
Step 4
2x=10 Divide by 2
answer
x=5
hope this helps




so the characteristic solution is

As a guess for the particular solution, let's back up a bit. The reason the choice of

works for the characteristic solution is that, in the background, we're employing the substitution

, so that

is getting replaced with a new function

. Differentiating yields


Now the ODE in terms of

is linear with constant coefficients, since the coefficients

and

will cancel, resulting in the ODE

Of coursesin, the characteristic equation will be

, which leads to solutions

, as before.
Now that we have two linearly independent solutions, we can easily find more via variation of parameters. If

are the solutions to the characteristic equation of the ODE in terms of

, then we can find another of the form

where


where

is the Wronskian of the two characteristic solutions. We have






and recalling that

, we have
Answer:
27 miles.
Step-by-step explanation:
Here I attach the draw of the coordinates.
Tony traveled 3 segments. The first was from (12,6) to (12, 15), where, leting 12 constant, he moved from 6 to 15 in the ordinates axis, which implies 9 units. This is the section 1 in the draw.
Then he moved from point B to C. If you notice, this distance is the hypotenuse on the the triangle DBC. We can find this value using Pitagoras' theorem:
DB^2 + CD^2 = CB^2
With DB=15 and CD=8 (12 minus 4 = 8)
15^2 + 8^2 = 289
So CB^2=289
Applying sqr root:
CB = 17
So, the second section has a measure of 17 units.
Finally, the 3rd section is the hypotenuse of the DAC triangle and we can use Pitagoras to solve it:
CD^2 + AD^2 = CA^2
8^2 + 6^2 = CA^2
64 + 36 = 100
So, CA=10
In the 3r section we traveled 10 units.
So, in total he traveled 10 + 17 + 9 = 36 units
As every unit is 0.75 miles he traveled 36*0.75 miles:
36*0.75 = 27 miles
He traveled in total 27 miles!!
The particular construction used will make OS the angle bisector of ∠POQ, so
.. ∠POS = (1/2)*∠POQ.
This is true for selection C.