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3 years ago

The temperature in degrees Celsius can be expressed by the function C(f)=59(f−32)C(f)=59(f−32) where f is the temperature in deg

rees Fahrenheit. Find the temperature in degrees Celsius (to the nearest degree) if it is 55 °f.

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

$\dfrac{5}{9}\cdot (55-32)=\dfrac{5}{9}\cdot 23=\dfrac{115}{9}\approx 13^\circ C$

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Answer:

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Step-by-step explanation:

The equation of a circle in standard form:

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(h, k) - center

r - radius

1. We have the equation:

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2. We have the center (-4, 3) and the radius r = 6. Substitute:

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3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

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The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

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