To graph the line we need two points; we already have one the point (4,2) now we need to find another one; to do this we get the equation of the line given by:

where m is the slope and (x1,y1) are a point throught the line. Plugging the values given we have:

Now we give a value to x and find the corresponding y. If x=0, then:

hence we have the point (0,-2).
Now that we have two points (0,-2) and (4,2) we graph them on the plane and join them with a straight line, hence the graph is:
ANSWER: 92
EXPLANATION:
You plug in 30 where t us and solve.
3(30)+2=92
Answer:
-12
Step-by-step explanation:
don't rlly have an explanation
Answer:
The magnetic field is
Direction is inward
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The radius of BC is 
The radius of DA is 
The length of CD is 
The length of AB is 
The current is 
The magnetic field is mathematically represented as

![B = \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]](https://tex.z-dn.net/?f=B%20%3D%20%20%5Cfrac%7B%5Cmu_o%20I%7D%7B4%20%5Cpi%20%7D%20%5B%20%5Cfrac%7B%5Ctheta_%7BDA%7D%7D%7Br_%7BDA%7D%7D%20%2B%20%5Cfrac%7B%5Ctheta_%7BBC%7D%7D%7Br_%7BBC%7D%7D%2B%20%5Cfrac%7B%5Ctheta_%7BCD%7D%7D%7Br_%7BCD%7D%7D%2B%5Cfrac%7B%5Ctheta_%7BAB%7D%7D%7Br_%7BAB%7D%7D%5D)
Where

Where 

so
![B = \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]](https://tex.z-dn.net/?f=B%20%3D%20%20%5Cfrac%7B%5Cmu_o%20I%7D%7B4%20%5Cpi%20%7D%20%5B%20%5Cfrac%7B%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%7D%7B0.20%7D%20-%20%5Cfrac%7B%5Cfrac%7B2%5Cpi%7D%7B3%7D%7D%7B0.30%7D%7D%2B%20%5Cfrac%7B0%7D%7B0.10%7D%2B%5Cfrac%7B0%7D%7B0.10%7D%5D)

The direction is into the page
This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward
This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction
9514 1404 393
Answer:
r = 14.5
Step-by-step explanation:
AD is the perpendicular bisector of chord EC, so is the diameter of the circle. The radius is half the diameter.
r = AD/2 = (AB +BD)/2 = (25 +4)/2 = 29/2
r = 14.5
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Segments BE and BC are 10 = √(25·4)