the direction say to calculate to approximate radical(22) to the nearest hundredth. Using the calculator.
so i get this: 4.6904157
so if i round to the nearest hundredth would it then be4.69 only
how do you write and equation for this condition: center (8,-9), passes through (21,22)
To approximate radical(22) to the nearest hundredth, you began by using a calculator and obtained the value 4.6904157. Rounding this value to the nearest hundredth would indeed give you 4.69.
Regarding the equation for the condition of a center (8,-9) and passing through (21,22), you can use the formula for the equation of a circle. A circle can be represented by the equation (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.
In this case, the center is given as (8, -9) and the point (21, 22) passes through the circle. To determine the radius, you need to find the distance between the center and the given point. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, substituting the coordinates into the distance formula:
d = sqrt((21 - 8)^2 + (22 - (-9))^2)
= sqrt(13^2 + 31^2)
= sqrt(169 + 961)
= sqrt(1130)
≈ 33.61
Now that you have the radius (approximately 33.61), you can write the equation of the circle:
(x - 8)^2 + (y + 9)^2 = (33.61)^2