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Fofino [41]
3 years ago
9

If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 3, what is the equation of the new fun

ction?
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

f(x) =  \frac{1}{3}  |x|
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A carpenter is creating a circular wooden table with a radius of 4 feet and needs to know the area of the table to purchase the
JulijaS [17]

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

\text{Area}=\pi r^2

Therefore, the area of circular wooden table is given by :-

\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2

The area of the circular wooden table = 50.24 ft²

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3 years ago
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What is the relative frequency of male passengers?
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A. 0.15 Because its making me type twenty characters.
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A parabola and its directrix are shown on the graph. On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0) a
sukhopar [10]

Answer:

The focus of the parabola is at the point (0, 2)

Step-by-step explanation:

Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."

Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)

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Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each
Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

P=nl

where n is the number of sides and l is the length of each side.

So we clear for l and we get:

l=\frac{P}{n}

and subtituting the known values:

l=\frac{95.4cm}{6}\\ l=15.9cm

each side is 15.6 centimeters long

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2 years ago
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