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Luden
12 days 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:
PIT_PIT [9.1K]12 days ago
3 0
The answer is as follows: the correct choice is D) 0.75 inches above the vertex. To break it down: Consider the initial equation. The general parabola formula can be analyzed, indicating that the vertex is located at (4,3). Shifting the antenna to the focus point yields (4,3+0.75) = (4,3.75). Hence, the right answer is D) 0.75 inches above the vertex.
AnnZ [9K]12 days ago
3 0
Based on the parabolic equation provided, the vertex is located at (4,3). The focus coordinates of the parabola can be deduced from the equation. Therefore, the focus is at the point (4,3.75).
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1 month ago
Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu
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Answer:

The correct response is: b)

Step-by-step explanation:

a4b=24, where a × 4 × b = 24 implies a × b = 6

The pairs of numbers with a product of 6 include: {1,6} and {2,3}

In base 10, a4b translates to 100a + 40 + b

Calculating gives us:

100×1+40+6=146

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The correct answer is: b)

6 0
1 month ago
The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
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<span>The flag's dimensions are 40 inches by 55 inches.

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The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.

Simplifying, we get
2y + 22/8 y = 190.

Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.

Combining terms: 4 3/4 y = 190.

Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.

Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.

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1 month ago
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Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

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The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

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