Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts are x = - 2 and x = 4
The vertex lies on the axis of symmetry which is located at the midpoint of the x- intercepts, thus
= = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = - 3 × 3 = - 9
vertex = (1, - 9)
Answer:
6x +2x squared - 4
that's the answer. you need to group the like terms
Answer:
I ask for a tutor to get a question.
55 degrees is your answer
Step-by-step explanation:
The volume of the shell is the volume of the outer sphere minus the volume of the inner sphere.
V = 4/3 π (r+h)³ − 4/3 π r³
V = 4/3 π (r³ + 3r²h + 3rh² + h³) − 4/3 π r³
V = 4/3 π r³ + 4π r²h + 4π rh² + 4/3 π h³ − 4/3 π r³
V = 4π r²h + 4π rh² + 4/3 π h³
If h = 0.1 r:
V = 4π r² (0.1 r) + 4π r (0.1 r)² + 4/3 π (0.1 r)³
V = 0.4π r³ + 0.04π r³ + 0.00133π r³
V = 0.44133π r³
Using the approximation:
V = 4π r² h
V = 4π r² (0.1 r)
V = 0.4π r³
The approximation is reasonable if h is small compared to r.