Definition: This is the second part of a conditional statement.
2 answers:
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Hi there!
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
Answer:
see below
Step-by-step explanation:
You can use the law of sines to choose the correct answer:
b/c = sin(B)/sin(C) ≈ 0.8
For the first answer choice,
sin(44.3)/sin(60.7) ≈ 0.8009 . . . . . . as close as you expect to get
____
The second answer choice has the wrong ratio of sines.
The third answer choice has B > C, which it cannot be since b < c.
_____
The law of cosines can be used to find "a":
a^2 = b^2 + c^2 -2bc·cos(A) = 102500-100000cos(75°) ≈ 76,618
a ≈ √76618 ≈ 276.8 . . . . . . matches the first answer choice
Answer:
2.75 seconds and 133 feet
Step-by-step explanation:
We require to find the coordinates of the vertex of the parabola
the t coordinate ( time ) for a quadratic in standard form is
= -
with a = - 16 and b = 88
t = - = 2.75 seconds ← time taken to reach max
to find the max height evaluate f(2.75 )
f(2.75 ) = - 16( 2.75)² + 88(2.75) + 12 = - 121 + 242 + 12 = 133 feet