Answer:
C
Step-by-step explanation:
Answer:
B. 2106 pi mm³
Step-by-step explanation:
the solution is attached,
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Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
Answer:
A) Area as function of H ,
F'(a) = 2 +H
B) Area of triangle with height 6ft = 30 ft²
Step-by-step explanation:
Given as for a triangle ,
Let the height of triangle = H ft
And base = 4 ft + H ft
Now area of triangle =
× height × base
F (a) =
× H × ( 4ft + H ft)
Or, F (a) =
× ( 4H + H² )
Now, here Area is function of height ,
So , F'(a) =
(4 + 2H)
Hence Area as function of H ,
F'(a) = 2 +H
Now For height = 6 ft
Area of triangle =
× height × base
=
× H × ( 4ft + H ft)
=
× ( 4H + H² )
=
× ( 24 + 36 )
=
× ( 60 )
= 30 ft²
Hence Area of triangle with height 6ft = 30 ft² Answer
<span>0.833333333333333 is the answer</span>