Answer:
54.79 because if it's 4 and lower, you let them stay the same but if its five and above you let them go higher.
Answer:
The distance on a number line between -9 and -5 would be 4. This is kinda easy.
Step-by-step explanation:
Answer:
The standard form of the equation for the conic section represented by
is:

Step-by-step explanation:
We know that:
is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation

Rewriting the equation in the standard form

Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by
is:

where
vertex (h, k) = (-5, 12)
Answer:
1. A
2. D
3.B
4.D
5. C
Step-by-step explanation:
The focal length of the given ellipse is given as (±6, 0)
<h3>Equation of an ellipse</h3>
An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.
The standard equation of an ellipse is expressed as;
x^2/a^2 + y^2/b^2 = 1
The formula for calculating the focus of the ellipse is given as:
c^2 = b^2 - a^2
Given the equation of an ellipse
(x-7)^2/64 + (y-5)^2/100 = 1
This can also be expressed as:
(x-7)^2/8^2 + (y-5)^2/10^2 = 1
Comparing with the general equation
a = 8 and b = 10
Substitute
c^2 = 10^2 - 8^2
c^2 = 100 - 64
c^2 = 36
c = 6
Hence the focal length of the given ellipse is given as (±6, 0)
Learn more on focus of ellipse here; brainly.com/question/4429071
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