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Anit [1.1K]
3 years ago
15

Which equation represents a proportional relationship?

Mathematics
2 answers:
Verizon [17]3 years ago
5 0

y = 3 x equation represents a proportional relationship.

Answer: Option B

<u>Step-by-step explanation:</u>

A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin

case A) y=2\left(x+\frac{1}{3}\right)

A linear equation that not passes through the origin and so not proportional variation

case B) y= 3 x

Is a linear equation but passes through the origin and so proportional variation

case C) y = - 3x+2

A linear equation that not passes through the origin and so not proportional variation

case D)  \text { D) } y=\frac{1}{2 x}

An inverse variation equation but not passes through the origin and so not proportional variation.

From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.

Nataliya [291]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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3 years ago
Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

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

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where \frac{1}{4a} 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

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

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Use the discriminate to determine the number and the nature of the solutions of the giving equation.
PolarNik [594]

Answer:

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Step-by-step explanation:

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We need to subtract 7 to get it in the proper form

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If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0
3 years ago
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