Answer:
Step-by-step explanation:
To find the equation of a sphere with center (2,-3,6) that touch
(a) the xy-plane,
The equation of xy plane is z=0
Hence the radius would be distance from z=0 perpendicular to xy plane = z coordinate =6
Equation is
(b) the yz-plane,
The equation of yz plane is x=0
Hence the radius would be distance from x=0 perpendicular to yz plane = x coordinate =2
Equation is
(c) the xz-plane.
The equation of zx plane is y=0
Hence the radius would be distance from y=0 perpendicular to zx plane = |y coordinate| =3
Equation is
Answer:
x = - 4 and x = 9
Step-by-step explanation:
Given
x² - 36 = 5x ( subtract 5x from both sides )
x² - 5x - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)
The factors are - 9 and + 4, since
- 9 × 4 = - 36 and - 9 + 4 = - 5, thus
(x - 9)(x + 4) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 4 = 0 ⇒ x = - 4
Answer:
a) 120
b) 6
c) 1/20
Step-by-step explanation:
a) 5! = 120
b) (5 - 2)! = 6
c) 6/120 = 1/20
Answer:
b-28/9
Step-by-step explanation:
5+9b-23
5+9b=-23
9b=-28
b=-28/9