Mathematics: Average rate of change of the functions? (easy)

Average rate of change of the functions? (easy)

Ответ:

samantha9430

13.02.2022

Mathematics

1. 4:105

2. 12.5:1.7

3. 12:65

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Ответ:

hailee6053

23.09.2021

Mathematics

(x-3)^2 + y^2 = 68

Step-by-step explanation:

The vertex form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center of the circle and r is the radius. This circle has center (3,0). Find the radius using the distance formula with (3,0) and (1,8).

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(3-1)^2 + (0-8)^2}\\d = \sqrt{(2)^2 + (-8)^2} \\d = \sqrt{4 + 64} =\sqrt{68}$

Substitute h = 3, k = 0 and r = √68 into the vertex form. Then simplify for the equation.

$(x-h)^2 + (y-k)^2 = r^2\\(x-3)^2 + (y-0)^2 = \sqrt{68}^2\\ (x-3)^2 + y^2 = 68$

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Average rate of change of the functions? (easy)

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