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)
TRUE
explanation:
72/12 = 6. 7.2/12 = .6 . So, 6 is greater than .6 .
Answer:
2x + 5y = -5
Step-by-step explanation:
Since the new line is parallel to the given line 2x + 5y = 10, the equation of the new line has exactly the same form as does 2x + 5y = 10, except that the constant will be different.
Were we to solve this equation (in standard form) for y in slope-intercept form, we'd get:
5y = -2x + 10, or
-2x + 10
y = ----------------
5
or
y = (-2/5)x + 2
Writing out 2x + 5y = C, we substitute -5 for x and 1 for y, obtaining
2x + 5y = C => 2(-5) + 5(1) = -10 + 5 = -5. Therefore, C = -5 and the equation of the new line is
2x + 5y = -5
Step-by-step explanation:
The answer is to your question is 192817359
Answer:
That question needs more context if you want an answer.
Step-by-step explanation:
