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Assoli18 [71]
2 years ago
14

What do you think happens to the graph

Mathematics
1 answer:
forsale [732]2 years ago
4 0

Answer:

b. vertical shrink

Step-by-step explanation:

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Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
ivanzaharov [21]
Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l            (1)

Part A.
The area is
A = w*l 
   = (2 - l)*l
 A  = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
   = -[ (l -1)² - 1]
   = -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.

4 0
3 years ago
Consider the following figure:
trasher [3.6K]

Answer:

C(cone with a radius of 8 units)

Explanation:

When a triangle is spun around its center, it makes a cone (can't make a cylinder because when spun, it doesn't have 2 circular bases). The radius would be 8 because that is what makes the circular base. The 6 is just the height of the triangle and cone once it is spun, it doesn't have anything to do with the base and its radius.

4 0
2 years ago
There are 1,000 grams in 1 kilogram. Nate is mailing a package that has a mass of 8,000 grams.
Anna007 [38]

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

5 0
2 years ago
Simplify, assume the variable represents a positive real number
kotykmax [81]

The simplification of the given expression \sqrt{18y^{21} will be equal to 3\sqrt{2} (y)^{\dfrac{21}{2}}

<h3>What is simplification?</h3>

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

The simplification of the given expression will be:

=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}

hence  the simplification of the given expression \sqrt{18y^{21} will be equal to 3\sqrt{2} (y)^{\dfrac{21}{2}}

To know more about Simplification follow

brainly.com/question/723406

#SPJ1

5 0
2 years ago
Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What shoul
avanturin [10]
I think the correct answer among the choices listed above is option C. Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction. Her next step is to use the arc markings to determine the radius to construct the circle.

6 0
3 years ago
Read 2 more answers
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