Point o is the center of the circle. what is the value of x?

x  = 15 cm.

Step-by-step explanation:

Given :Point O is the center of the circle.

To find : What is the value of x?

Solution : We have given that a circle of radius 8 cm .

The tangent to a circle is perpendicular to the radius at the point of tangency.

By applying the Pythagorean theorem

OQ² = OP² + PQ²

Plugging the values  OQ = 9 +8 , OP = 8 , PQ = x

(17)² = (8)² + (x)².

289 =  64 + (x)².

On subtracting 64 from both sides

289 -64 =  (x)²

225 = (x)²

On taking square root both side  

x = 15

Therefore, x = 15 cm.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation: