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4 years ago

M=1/5 y-intercept is 0,4

Mathematics

1 answer:

ValentinkaMS [17]4 years ago

8 0

Answer:

y = $\frac{1}{5}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{5}$ and c = 4, thus

y = $\frac{1}{5}$ x + 4 ← equation of line

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A parabola can be represented by the equation x2 = -20y.

aliya0001 [1]

Answer:

$\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)$

Step-by-step explanation:

Given the equation

$x2 = -20y$

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

$x^2=-20y$

$\mathrm{Switch\:sides}$

$-20y=x^2$

$\mathrm{Factor\:}4$

$4\cdot \frac{-20}{4}y=x^2$

$4\left(-5\right)y=x^2$

$\mathrm{Rewrite\:as}$

$4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2$

$\left(h,\:k\right)=\left(0,\:0\right),\:p=-5$

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

$\left(0,\:0+p\right)$

$=\left(0,\:0+\left(-5\right)\right)$

$\mathrm{Refine}$

$\left(0,\:-5\right)$

Therefore,

$\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)$

Please check the attached figure too.

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Answer:

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Step-by-step explanation:

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nikitadnepr [17]

Answer:

OPTION A

OPTION B

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Step-by-step explanation:

Given that a bag of apples cost 'a' dollars.

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Step-by-step explanation:

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M=1/5 y-intercept is 0,4​

M=1/5 y-intercept is 0,4