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Mice21 [21]
3 years ago
9

The hyperbolic cross section of a cooling tower is given by the equation 4x2 − y2 + 16y − 80 = 0. The center of the cooling towe

r is the same as the center of the hyperbola, and the x-axis represents the ground surface.

Mathematics
2 answers:
vlada-n [284]3 years ago
5 0

The attached image is the representation of the question presented. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

bazaltina [42]3 years ago
3 0

I think the diameter is 6 meters and the height above ground is 8 meters both at the center

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Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
Arada [10]

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = \frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})] (Absolute value)

By substituting the values from the given vertices,

Area = \frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)]

        = \frac{1}{2}[-36+0-72]

        = \frac{1}{2}(-108)

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = \sqrt{(a-c)^{2}+(b-d)^2}

     AB = \sqrt{(-4-1)^{2}+(-2-7)^{2}}

           = \sqrt{106}

           = 10.295 units

     BC = \sqrt{(1-8)^2+(7+2)^2}

           = \sqrt{130}

           = 11.402 units

     AC = \sqrt{(-4-8)^2+(-2+2)^2}

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

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3 years ago
Please help me (4m+9)-3(x-2)
elena-14-01-66 [18.8K]
=4m-3x+15 I believe
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The answer would be 10833.3 
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I Am A Number That Is Double The Product Of 2 And 7. One Of My Factors Is 7 What Is My Other factor
tatyana61 [14]
If 7 × 2 = 14, then 14 + 14 = 28. So, 7 times 4 equals to 28. You can add 14 + 14 or multiply 7 and 4 to get your answer.
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3 years ago
Given a+b=7 and a–b=3, find:<br><br> 2^a*2^b
seropon [69]

Answer:

128

Step-by-step explanation:

5+2=7

5-2=3

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32*4=128

Hope this helps:)

7 0
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