How do you figure out this equation?

Mathematics

1 answer:

maw [93]2 years ago

6 0

Equation of a circle is (x-x1)+(y-y1)=r²
when x1 and y1 are the coordinates of the centre

So you can substitute the centre in to get (x-5)²+(y+9)²=r²

When you draw a diagram it's obvious the radius is 9

9²=81

Therefore equation is (x-5)²+(y+9)²=81

Any questions, just ask :)

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Determine if f(x, y) = 10 − x^2 − y^2

Eva8 [605]

Answer:

Step-by-step explanation:

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. x is treat any other variable as a constant.

dz/dx=0-2x-0

dz/dx=-2x

Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.

Since this result is negative, it mrans as x increases z decreases.

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. y is treat any other variable as a constant.

dz/dx=0-0-2y

dz/dx=-2y

Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.

Since this result is positive it mrans as y increases z decreases.

8 0

2 years ago

Take a factor out of the square root:

klasskru [66]

Answer:

1. |y| sqrt(10)

2. |x| sqrt(x)

3. a^2 sqrt(a)

4. 4 |y|^3 sqrt(3)

5. 1/4 *|x| sqrt(3x)

Step-by-step explanation:

1. sqrt(10y^2)