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JulsSmile [24]
3 years ago
13

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli

te can be modeled by (x - 4)^2 = 3(y - 3), where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?
A. 0.75 in. below the vertex
B. 0.75 in. to the right of the vertex
C. 0.75 in. to the left of the vertex
D. 0.75 in. above the vertex

Mathematics
2 answers:
Alika [10]3 years ago
3 0

Given the equation of the parabola

(x-4)^2=3(y-3).

The vertex of this parabola is placed at point (4,3).

If the equation of the parabola is (x-x_0)^2=2p(y-y_0), then

2p=3,\\ \\p=1.5.

The coordinates of the parabola focus are

\left(x_0,y_0+\dfrac{p}{2}\right).

Therefore, the focus is placed at point (4,3,75).

Answer: option D, 0.75 in. above the vertex

disa [49]3 years ago
3 0

Answer:

The correct option is D) 0.75 in. above the vertex.

Step-by-step explanation:

Consider the provided function.

(x-4)^2=3(y-3)

The general equation of the parabola is:

(x-x_0)^2=4p(y-y_0)

Where, p is the focus of the parabola and (x₀,y₀) is the vertex of the parabola .

Now by comparing we can concluded that:

The vertex of the parabola is (4,3)

3=4p\\ p=\frac{3}{4}\\ p=0.75

We have to shift the antenna towards the focus point. The focus point would be:   (x₀,y₀+p)=(4,3+0.75)= (4,3.75).

Hence, the correct option is D) 0.75 in. above the vertex.

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Answer:

The correct answer is :

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Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

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This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

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This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

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3 years ago
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4 0
1 year ago
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8 0
2 years ago
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1
Alja [10]

Hi!

<h2>Your answer will be: <em>180.</em></h2>

Reason being: <em>183-3=180. Also, 180+3=183.</em>

Hope this helps!

<em></em>

<em>Yours Truly,</em>

<h2><em></em></h2><h2><em>~~~PicklePoppers~~~</em></h2>

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