2 years ago

The area of a circle is 96 square inches. What is the area of a circle whose diameter is 1.5 dimes the diameter of the circle?

1 answer:

3 0

So the diameter of your circle is ~11.05 so the diameter of a circle 1.5 times bigger is ~16.575 so the area of the other circle is 215.77

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Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )

Genrish500 [490]

Answer:

Step-by-step explanation:

$y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)$