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4 years ago

Determining the slope A(-1 ,3) B (-2 , 5 )

1 answer:

6 0

A(-1,3), B(-2,5)

Slope equation : (y₂-y₁) / (x₂-x₁)

Plug in the values into the equation.

AB = (5 - 3) / (-2+1)

Simplify.

AB = 2 / -1

AB = -2

So, your slope is -2.

~Hope I helped!~

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2. 11 (4-1)
3. 6 (3-2)
6. 10 (10-8)
9. 2 (x+5)
12. 10 (x-6)

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3 years ago

-1/2x-2y=4 what is the answer?

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Step-by-step explanation:

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The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maxi

Free_Kalibri [48]

Answer:

$x^2 = 2y$ --- equation

$(x,y) = (0,\frac{1}{2})$ --- focus

$y = -\frac{1}{2}$ --- directrix

$Width = 2$ ---- focal width

Step-by-step explanation:

Given

$depth = 2$

$diameter = 4$

Required

The equation of parabola

The depth represents the y-axis. So:

$y = 2$

The diameter represents how the parabola is evenly distributed across the x-axis.

We have:

$diameter = 4$

-2 to 2 is 4 units.

So:

$x = [-2,2]$

So, the coordinates of the parabola is:

$(-2,2)\ and\ (2,2)$

The equation of the parabola is calculated using:

$x^2 = 4py$

Substitute (-2,2) for (x,y)

$(-2)^2 = 4p*2$

$4 = 8p$

Divide by 8

$p = \frac{4}{8}$

$p = \frac{1}{2}$

So, the equation is:

$x^2 = 4py$

$x^2 = 4 * \frac{1}{2} * y$

$x^2 = 2y$

The defining features

(a) Focus

The focus is located at:

$(x,y) = (0,p)$

$(x,y) = (0,\frac{1}{2})$

(b) Directrix (y)

$y = -p$

$y = -\frac{1}{2}$

(c) Focal width

$Width = 4p$

$Width = 4*\frac{1}{2}$

$Width = 2$

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3 years ago

A paramedic in an ambulance does not experience the Doppler effect of the siren?

Nimfa-mama [501]

Answer:

He does not

Step-by-step explanation:

He doesn't experience Doppler effect because with respect to him, the source of sound is stationary.

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3 years ago