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Arturiano [62]
3 years ago
10

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices

Mathematics
2 answers:
velikii [3]3 years ago
6 0
<span>C) Ro 270 degree (anticlockwise)

============================


</span>
Aleks04 [339]3 years ago
6 0
<h2>Answer:</h2>

The rule which describes the transformation is:

                           C)  R 0,270 degree

<h2>Step-by-step explanation:</h2>

We know that if the original figure is rotated 270 degrees about the origin then it leads to the transformation in which each of the vertices of the figure are transformed and are  given by the rule:

             (x,y) → (y,-x)

Here we have the vertices of the Triangle RST as:

          R(2, 0), S(4, 0), and T(1, –3).

Now, when this triangle is rotated 270 degrees about the origin then the resulting image has vertices as follows:

R(2,0) → R'(0,-2)

S(4,0) → S'(0,-4)

T(1,-3) → T(-3,-1)

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8 0
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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

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$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

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∴   $x=\frac{450}{264}=\frac{75}{44}$

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So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

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