Answer:
slope = -2
Step-by-step explanation:
y2 - y1 over x2 - x1
so do
7-3/ 2-4 = your slope
4/-2
Answer:
Option D is correct .i.e., Vertical translation down 9 units
Step-by-step explanation:
Given Function is y = cosec x - 9
Here basic function or parent function is y = cosec x
1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.
2. When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.
Therefore, Option D is correct .i.e., Vertical translation down 9 units
Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :

b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :

Hence , this is the required solution .
Answer:
y = 1/2x + -3
Step-by-step explanation: