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3 years ago

Which undefined geometric term is described as an infinite set of points that has length but not width?

Mathematics

2 answers:

EastWind [94]3 years ago

7 0

Answer:

The undefined geometric term is described as an infinite set of points that has length but not width is:

Line.

Step-by-step explanation:

There are three undefined geometric terms:

Point, Line and Plane.

Point has no dimension nor length nor width.

A line is defined as something that extends infinitely in either direction but has no width and is one dimensional.
a plane extends infinitely in two dimensions.

Hence, the undefined geometric term is described as an infinite set of points that has length but not width is LINE.

Ivahew [28]3 years ago

5 0

<span>The correct answer is line.

Explanation:
A line contains an infinite number of points, but since each point has no width or length to speak of, there is no width to a line. Additionally, it has infinite length since there is an infinite number of points included in it.</span>

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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.

Olegator [25]

Answer:

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is $y = \frac{1}{12}\cdot (x+5)^{2}+2$ .

Step-by-step explanation:

From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.

If endpoints are (-5, 5) and (-5, -1), respectively, then such distance ( $r$ ), dimensionless, is calculated by means of the Pythagorean Theorem:

$r = \frac{1}{2}\cdot \sqrt{[-5-(-5)]^{2}+[5-(-1)]^{2}}$

$r = 3$

And the location of the vertex ( $V(x,y)$ ), dimensionless, which is below the focus, is:

$V(x,y) = F(x,y)-R(x,y)$ (1)

Where:

$F(x,y)$ - Focus, dimensionless.

$R(x,y)$ - Vector distance, dimensionless.

If we know that $F(x,y) = (-5,5)$ and $R(x,y) = (0,3)$ , then the location of the vertex is:

$V(x,y) = (-5,5)-(0,3)$

$V(x,y) =(-5,2)$

In addition, we define a parabola by the following expression:

$y-k = \frac{(x-h)^{2}}{4\cdot r}$ (2)

Where:

$h$ , $k$ - Coordinates of the vertex, dimensionless.

$r$ - Distance of the focus with respect to vertex, dimensionless.

If we know that $h = -5$ , $k = 2$ and $r = 3$ , then the equation of the parabola is:

$y = \frac{1}{12}\cdot (x+5)^{2}+2$

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is $y = \frac{1}{12}\cdot (x+5)^{2}+2$ .

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3 years ago

Graph: Y - 3 = 1/2 (x+2)

NikAS [45]

Answer:

see graph

Step-by-step explanation:

Personally I put into slope intercept form before graphing

y - 3 = 1/2 (x+2)

y -3 = 1/2x + 1

y = 1/2x + 4

4 is y-intercept

1/2 is slope. $\frac{Rise= 1}{Run= 2}$

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3 years ago

A SURVEY FOUND THAT 3 out of 5 seventh graders have an email account.If there are 315 seventh graders, how many would you expect

Temka [501]

3/15=?/315

divide 315 by 15

then take that number and multiply that by three

then that THAT number and put it over 315

then simplified

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The sum of two numbers is with a ratio of 15:10. Find the larger number.

arsen [322]

Assume the sum is 100. The ratio of the two numbers is 15:10. This means that we can divide this indow 15+10, or 25 parts. Let us do that. Divide 100 into 25 parts and see how much is in each part. 100/25 is 4, meaning that there is 4 in each part. 15 parts will have 15*4, or 60. 10 parts will have 10*4, or 40. To confirm, add 40 and 60. It matches with what we started out with, 100.

The two numbers, assuming the sum is 100, are 40 and 60. 60 is the greater value.

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garik1379 [7]

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