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svetoff [14.1K]
1 year ago
15

A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e

quation (x – 4)2 (y – 12)2 = 9. the equation indicates that the center of the window is feet from the ground and the distance the window spans is feet.
Mathematics
1 answer:
Pie1 year ago
6 0

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

(x-a)^{2} + (y -b)^{2} = r^{2}

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

(x-4)^{2} + (y-12)^{2} = 9

(x-a)^{2} + (y -b)^{2} = r^{2}

(x-4)^{2} + (y -9)^{2} = 3^{2}

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

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The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

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\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}

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We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

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(image) The figure below is an isosceles triangle surmounted by a semi-circle. Find the area of the entire region.
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Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°

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area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54

By Heron's Formula, area of triangle ABC:

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3 years ago
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