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Zigmanuir [339]
3 years ago
11

Look at this graph: y : Is this relation a function? yes no Submit

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

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a truck mass 2000. kg is travelling at 45 m/s when the driver spots a policeman ahead. The driver applies the brakes lightly for 3.0 s until he slows down below the speed limit. If the average force applied to the brakes was 1.4 x 10^4 N, by how much did the kinetic energy of the car change?

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-4(2 - 4n) -5(3n +6)
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3 years ago
Can you help me please, please answer seriously, no links please​
Talja [164]

Answer:

Centre: (\frac{1}{2} ,2)

Radius = 2

Step-by-step explanation:

General formula for a circle: (x-a)^2+(y-b)^2=r^2, where r= the radius of the circle and (a,b) is the centre of the circle.

To find the centre and radius of the circle we should re-write the given equation in the form of the general formula.

So, put the terms with the same variables together:

4x^2-4x+4y^2+16y+1=0

We can see that there is a common factor of 4, so let's simplify by dividing by 4:

x^2-x+y^2+4y+\frac{1}{4} =0

Here we can get it into the general formula by completing the square.

We do this by turning a quadratic with form ax^2+bx+c=0 into the form (x-d)^2-e+c=0, where d is half of the coefficient of x, e is d^2 and c is the constant of the quadratic.

So let's re-write the equation of the circle:

(x-\frac{1}{2} )^2-\frac{1}{4} +(y-2)^2-4+\frac{1}{4} =0

Simplify: (x-\frac{1}{2} )^2 +(y-2)^2-4} =0

Now we can see that it's very similar to the general equation and all we have to do is bring the 4 over to the right side.

(x-\frac{1}{2} )^2 +(y-2)^2} =4

So, now we can find the radius and centre.

(a,b) = (\frac{1}{2} ,2)

r^2=4, r=2

7 0
3 years ago
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