Answer:
Below in bold.
Step-by-step explanation:
If the 3 points are on the circle with the given center then the distance from each point to the center will all be equal. This distance will be the radius of the circle.
Distance of P (2, 5) from the center (4, 2)
= √( (5-2)^2 + (2-4)^2)
= √(9 + 4)
= √13.
For Q (6, -1)this distance is:
= √(6-4)^2 + (-1-2)^2)
= √13.
For R (7, 4) his distance is:
= √(7-4)^2 + (4-2)^2)
= √13
These distances are the same so the points P, Q and R lie on the circle.
The midpoint of PQ
= (2+6)/2 , (5 - 1)/2
= (4, 2).
Which is the center so this verifies the second part.
Answer:
Choice A. P = I² · R where
- P is the power in the DC circuit,
- I is the current through the circuit, and
- R is the total resistance of the circuit.
Step-by-step explanation:
Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work 
that the electrical force do when it moves charges 
across a potential difference 
:
W = 
.
The power is the rate at which the electrical force do the work:
.
On the other hand, current 
is the charge through a cross-section of the circuit in unit time. By the definition of current:
.
.
Consider Ohm's Law:
.
Therefore
.
Well we use what we know, that a triangle and a line is equivalent to 180° to find the interior angles of a triangle and possibly use the exterior (s) angles present.
An exterior angle is equivalent to the two most isolated (as in the ones all the way on the other side) interior angles combined.
So this means that m∠Y is equivalent to 138° - 79° which is 59°
Now that we know m∠Y we can find m∠XZY.
How?
Well as I had mentioned earlier a triangle has 180° we can add the two interior angles that we know and subtract it by 180°.
m∠Y and m∠X together is 59° and 79° respectively which is 138°. Now let's subtract it by 180° and get 42°
~~
m∠XZY = 42°
m∠Y = 59°
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
The answer is v <span>≈ 0.52 :)
hope this helped</span>
am I supposed to do the picture one or the you type
