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crimeas [40]
3 years ago
14

The vertex of this parabola is at (4, -3). When the x-value is 5, the

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0
The\ vertex\ form:y=a(x-k)^2+h\\\\where\ (k;\ h)\ \ are\ coordinates\ of\ vertex\\------------------------\\y=a(x-4)^2-3\\\\the\ point\ on\ parabola\ (5;-6)\\Put\ x=5\ and\ y=-6\ to\ equation:\\\\a(5-4)^2-3=-6\\a(1)^2=-6+3\\a=-3\\\\Answer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\\\\=-3x^2+24x-48-3=-3x^2+24x-51
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The circumference of the circle is 762π cm.

<h3>What is length of arc of a circle?</h3>

The length of arc a circle can is determined with the radius and central angle of the arc.

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L = \pi r \times \frac{ \theta }{180} \\\\&#10;\pi r \theta = 180 L\\\\&#10;\pi  r = \frac{180 L}{\theta}

The circumference of the circle is calculated as follows;

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Learn more about circumference of a circle here: brainly.com/question/9782777

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