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Blizzard [7]
3 years ago
7

Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3.

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

y = (1/12)x^2

Step-by-step explanation:

The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).

The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus.  Here that distance is p = 3.

Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.

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tresset_1 [31]

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

m=\dfrac{y_2-y_1}{x_2-x_1}

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4

So, the slope of the line is -4.

8 0
3 years ago
The fire department needs to rescue a man from a house. There is a large, unstable puddle below the house. The ladder needs to b
nevsk [136]

Answer: 100 feet

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Can anyone help me please solving this maths problems not sure if. Thanks
Marrrta [24]
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which is greater? Which is smaller?

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5 0
3 years ago
T. The entropy change As, for an ideal gas is given by the following formula: dT dV As=1C [c. R T V 7 where T is the thermodynam
MissTica

Answer:

The entropy change AS, for an ideal gas is given by: dt V Where T is the thermodynamic temperature, V is the volume and R=8.314. Determine the entropy change when a gas expands from 1 litre to 3 litres for a temperature rise from 100K to 400K given that: Cv = 45 + 6 x 10-T + 8 x 10-6T2 b) The average value of a complex voltage waveform is given by: V = ( 10 (10sin ox +3sin 30x +2 sin 508) dt Evaluate Vav correct to 2 decimal places.

7 0
2 years ago
9y+11z+7y−4z
slava [35]
Answer is <span>16y + 7z

</span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>−<span>4z

</span></span><span>=<span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+</span>−<span>4z

</span></span></span>Combine Like Terms:

<span>=<span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+<span>−<span>4z

</span></span></span></span><span>=<span><span>(<span><span>9y</span>+<span>7y</span></span>)</span>+<span>(<span><span>11z</span>+<span>−<span>4z</span></span></span>)

</span></span></span><span>=<span><span>16y</span>+<span>7z</span></span></span><span>
</span>
7 0
3 years ago
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