Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:

A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
Answer:
so the answer is 50%
Step-by-step explanation:The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.
Answer:
A.
Step-by-step explanation:
Subtract -4x on both sides to get to -2y=-4x-8, then you should divide -2 into both sides to get to the slope of y=2x+4 since two negatives would equal to a positive when dividing and multiplying. Because the slope is positive, it is safe to assume that the first two options A and B are the best options due to their slopes being positive and going up. The y-intercept is 4 which makes the answer A because on 0 it is on the positive side.