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3 years ago

Find the constant variation for the direct variation given

1 answer:

6 0

$10y=13x\ \ \ /:10\\\\y=1.3x\\\\constant=1.3\\==================\\f(x)=4.5x\\\\constant=4.5\\==================\\x+y=0\\y=-x\\\\constant=-1$

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Which of these groups of relative frequencies would be best represented by a pie chart?

Nonamiya [84]

Answer:

B.25%; 70%; 5%

Step-by-step explanation:

Other options have % very close to eachother, pie chart may not reflect the difference

4 0

3 years ago

What is the slope of the line?

OLEGan [10]

to get the slope of any straight line, we can simply use two points off of it, hmmm say let's use here (2,8) and (4,4)

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad
(\stackrel{x_2}{4}~,~\stackrel{y_2}{4})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-8}{4-2}\implies \cfrac{-4}{2}\implies -2$

6 0

3 years ago

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$

$\frac{0 + 0}{2} = 0$

So our vertex is (0,0).

So our equation become

${y}^{2} = 4px$

The distance from the focus and directrix is 6.

So p=6.

${y}^{2} = 24x$

So p is 6.

Since p is 6,

$\frac{ {y}^{2} }{24} = x$

3 0

2 years ago

Explain how you can find the y-intercept of a linear equation and how that is different from finding the y-intercept of a geomet

Gnesinka [82]

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

7 0

4 years ago

Read 2 more answers

This graph shows the value of Jessica's vehicle at different years after she purchased it.

Olenka [21]

Answer:

it goes down by $16,000 in that time frame

3 0

3 years ago