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jolli1 [7]
2 years ago
13

The equation of a circle is x2 + (y-10)2=16. The radius of the circle is units. The center of the circle is at .

Mathematics
1 answer:
aliina [53]2 years ago
8 0

Answers:

Center = (0, 10)

Radius = 4

========================================================

Work Shown:

Rewrite the equation into

(x - 0)^2 + (y - 10)^2 = 4^2

Then note how it is in the form

(x - h)^2 + (y - k)^2 = r^2

We see that the center is (h,k) = (0,10) and the radius is r = 4.

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Step-by-step explanation:

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the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

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Solve the following equation <br><br> 1/x-1+1/x+2=3
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Step-by-step explanation:

Solve for x over the real numbers:

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What is the distance between (5,2) and (1,-3) on a coordinate plane?
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6 0
3 years ago
Read 2 more answers
What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

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x+y \leq 12

5x+y \leq 20\\x \geq 0\\y \geq 0

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

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P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0
3 years ago
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