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1 year ago

The circle below is centered at (3, 1) and has a radius of 2. What is its equation?

Mathematics

1 answer:

MissTica1 year ago

5 0

Answer:

( x-3) ^2 + ( y-1) ^2 = 4

Step-by-step explanation:

The equation for a circle is given by

( x-h)^2 + ( y-k) ^2 = r^2 where (h,k) is the center and r is the radius

( x-3) ^2 + ( y-1) ^2 = 2^2

( x-3) ^2 + ( y-1) ^2 = 4

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3 years ago

Use the four functions below for this question:

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Answer:

We have four functions:

For f(x) we have two points (-2,2) and (-1,-1)

we will use two point form which is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, on substituting the values we get:

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$y=-3x-4$

So, f(x)=-3x-4

We have g(x)=3x-4

Now, we will from h(x) we have two points let initial point on monday is (0,4) and tuesday (1,1) again use two point form we get:

$y-4=-3(x-0)$

$\Rightarrow y=-3x+4$

So, h(x)= -3x+4

Now, we will form j(x) we have three points (2,10) , (-2,6) and (2,22)

We will use (-2,6) and (2,22) to find the function with two point form.

$y-6=\frac{22-6}{2+2}x+2)$

$\Rightarrow y=4x+14$

j(x)= 4x+14

To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope

And to find y-intercept we will put x=0

f(x)=-3x-4

Slope is: -3

And y-intercept is: (0,-4)

g(x)=3x-4

Slope is: 3

And y-intercept is: (0,-4)

h(x)= -3x+4

Slope is: -3

And y-intercept is: (0,4)

j(x)= 4x+14

Slope is: 4

And y-intercept is: (0,14)

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The number 144 is rational because it can be expressed by 144/1

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