Which is an equation of the line with x-intercept 2 and y-intercept 12?
1 answer:
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Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola
is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is
where is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is
By definition, the length of the latus rectum is four times the focal length so therefore, its value is
ANSWER
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).
EXPLANATION
The given
The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:
This implies that;
Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).
EXPLANATION
The given
The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:
This implies that;
Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.