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elena55 [62]
4 years ago
5

Use a complete sentence to describe how a parabola is defined based on distances

Mathematics
2 answers:
Rasek [7]4 years ago
6 0

Answer:

The parabola in a coordinate plane can be thought of as a set of points P, with coordinates (x, y), such that the distances to a given point and a given line (that does not contain that point) are equal. The given point is called the focus and the line is called the directrix.

Step-by-step explanation:

tino4ka555 [31]4 years ago
3 0
A u-shaped curve with certain specific properties. Formally, a parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points such that the distance to the focus equals the distance to the directrix.
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7 0
4 years ago
Y=1/4x + 6<br> that passes through the point (-4, 3) in slope-intercept form.
Komok [63]

Answer:

The answer is

<h2>y =  \frac{1}{4} x + 4</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

The equation is

y = 1/4x + 6

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

That's

Slope of parallel line = 1/4

So the equation of the parallel line using point (-4 , 3) and slope 1/4 is

<h3>y - 3 =  \frac{1}{4} (x + 4) \\ y - 3 =  \frac{1}{4} x + 1 \\ y =  \frac{1}{4} x + 1 + 3</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x + 4</h3>

Hope this helps you

5 0
3 years ago
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