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Sergeeva-Olga [200]
3 years ago
11

A triangle has verticies A(-2, 3), B(0,0), and C (1,1).

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0
A(2,-3)
B(0,0)
C(1,-1)
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A rectangular area is to be enclosed using an existing
Vesnalui [34]

Answer:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

Step-by-step explanation:

Let the one of the side lengths of the rectangle be x and the other be y.

We can write the following equations, where x will be the side opposite to the wall:

x+2y=100,\\xy=\text{Area}

From the first equation, we can isolate x=100-2y and substitute into the second equation:

(100-2y)y=\text{Area},\\-2y^2+100=\text{Area}

Therefore, the parabola -2y^2+100y denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form ax^2+bx+c is given by \frac{-b}{2a}.

Therefore, the vertex is:

\frac{-100}{2(-2)}=\frac{100}{4}=25

Plug in x=25 to the equation to get the y-coordinate:

-2(25^2)+100(25)=\boxed{1,250}

Thus the vertex of the parabola is at (25, 1250). This tells us the following:

  • The maximum area occurs when one side (y) of the rectangle is equal to 25
  • The maximum area of the enclosure is 1,250 square meters
  • The other dimension, from x+2y=100, must be 50

And therefore, the desired answers are:

\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}

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3 years ago
Your brother wants some CD's for his birthday. You decide to order them
Svet_ta [14]

Answer:

the answer is 30 dollars

Step-by-step explanation:

3x8 is 24 and 24 plus 6 is 30.

7 0
3 years ago
What is the answer to this question
Schach [20]
Vertical angles are equal

4x = 45 + 15
4x = 60
x = 60/4
x = 15
8 0
3 years ago
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In a scale drawing, 3 inches<br> represents 10 miles. How many<br> inches represent 45 miles?
Neko [114]

Answer:

13.5 inches

Step-by-step explanation:

3inches:10 miles

x inches: 45 miles

do cross multiply:

3*45=135

10*x=10x

so 135=10x

x=13.5 inches

5 0
2 years ago
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Help
weeeeeb [17]

Answer:

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Consider the sum of the measures of the exterior angles for an n -gon.

N=180n−180(n−2)

Distribute 180 .

N=180n−180n+360 =360.

Step-by-step explanation:

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3 years ago
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