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Archy [21]
3 years ago
8

For example, Let's say I am graphing a proportional relationship even If it doesn't go through origin and it is an equivalent ra

tios, Is it proportional or does it have to go throught the origin to be proportional?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

A proportional relationship is described by the equation

... y = k·x

The point (x, y) = (0, 0) is <em>always</em> a solution to this equation.

_____

In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.

___

Note that this is true if the domain includes the origin. You can have y = kx <em>for x > 10 </em>and the graph will <em>not</em> go through the origin because the function is <em>not defined</em> there.

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Answer it pls and explain too​
snow_tiger [21]

Answer:

  y-intercept: (0, 5); slope: 1/4

Step-by-step explanation:

The slope (m) is found from ...

  m = (y2 -y1)/(x2 -x1)

Using the first two points in the table, this is ...

  m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C

__

Then, the point-slope form of the equation of the line can be written as ...

  y -y1 = m(x -x1)

  y -6 = (1/4)(x -4) . . . fill in known values

  y = 1/4x -1 +6 . . . . . add 6

  y = 1/4x +5

Then the value of y when x=0 is ...

  y = 0 +5 = 5

So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.

7 0
3 years ago
Please answer this question now
Sever21 [200]

Answer:

82 degrees

Step-by-step explanation:

Measure of arc ABC = 86*2 = 172 degrees.

Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.

Measure of arc BCD = 121+43 = 164 degrees.

Measure of angle A = 164/2 = 82 degrees

8 0
2 years ago
Read 2 more answers
a pyramid has a regular hexagonal base with side length of 4 and a slant height of 6. what is the total area of the pyramid
Stels [109]
So hmm notice the picture below

the pyramid itself, is really, just one regular hexagon, at the bottom
and 6 triangles, stacked up at each other at the edges

now, if you just get the area of the regular hexagon, and the 6 triangles, add them up, that'd be the total surface area of the pyramid then
\bf \textit{area of a regular polygon}\\\\&#10;A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad &#10;\begin{cases}&#10;n=\textit{number of sides}\\&#10;s=\textit{length of a side}\\&#10;\frac{180}{n}=\textit{angle in degrees}\\&#10;----------\\&#10;n=6\\&#10;s=4&#10;\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot  6\cdot  4^2\cdot  cot\left( \frac{180}{6} \right)

now, for the triangles, well, area of a triangle is 1/2 bh, as you'd know, and you have both

8 0
3 years ago
Help!!!1!!!!!!!!!!!!!!!!!!!!!!
ad-work [718]
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.

Vertex form is
   y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.


Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).

3 0
2 years ago
If two triangles are congruent, which of the following statements must be true?
PSYCHO15rus [73]

Answer:

The correct options are A, B, C and D.

Step-by-step explanation:

A figure said to be congruent if:

Two figures are said to be congruent if they have same size and same shape.

If two figure are congruent that means the corresponding sides will also be congruent.

If two figure are congruent that means the the corresponding angles will also be congruent.

Now consider the provided option.

By the above definition it is clear that all the options are correct.

Hence, the correct options are A, B, C and D.

7 0
2 years ago
Read 2 more answers
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