From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
To learn about circle from the given link
brainly.com/question/2166803
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Answer:
29. D
30. A
31. 15
32. -34
33. -241
34. -36
Step-by-step explanation:
Answer:
choice C is correct
Step-by-step explanation:
The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.
Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)
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Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.
Answer:
21
Step-by-step explanation:
We need to determine the percentage of defects of shoes for brand A
Percentage of shoes that have defect = (5/600) x 100 = 0.83%
shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75
rounding off to the nearest whole number gives 21 shoes
adding two negative integers always yields a negative sum
