Answer:
C. Plane
Step-by-step explanation:
One definition of a circle is: "It is the set of all points in a plane that are at a given distance from a fixed point."
The undefined term is the word "plane."
You could define a plane as a flat surface with zero thickness and extends infinitely in all directions, but it isn't in the definition of a circle.
Euclid defined a plane as "a surface that lies evenly with the lines on it" before he defined a circle, so the meaning was understood.
A, B, and D are wrong. They aren't mentioned in the definition.
3x -7 = 14
3x - 7 (+7) = 14 (+7)
3x = 21
3x/3 = 21/3
x = 7
hope this helps
Differentiating an integral removes the integral.
f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.
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i feel your pain though :/
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>