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tensa zangetsu [6.8K]
2 years ago
5

Hello again,

Mathematics
1 answer:
Nataly [62]2 years ago
5 0

Answer: 395

Step-by-step explanation:

201+99+95

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yes

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An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra
hoa [83]

Answer:

Option 2) y = 26    

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

\text{y: Number of hot dogs}

The independent variable is the number of teammates.

\text{x: Number of teammates}}

Thus, the linear relation between the dependent and the independent variable is given as:

y(x) = 2x + 6

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For x = 10

y(10) = 2(10) + 6 = 26

Thus, the correct answer is

Option 2) y = 26

3 0
3 years ago
What is the rectangular equivalence to the parametric equations?
denpristay [2]

Answer:

For x(θ) = 3cosθ + 2

y² = [9x²/(x - 2)²] - x²

For x(θ) = 3cosθ + 2

x² = [4y²/(y - 1)²] - y²

Step-by-step explanation:

Given the following equivalence:

x² + y² = r²

r = √(x² + y²)

x = rcosθ

cosθ = x/r

y = rsinθ

sinθ = y/r

Applying these to the given equations,

x(θ) = 3cosθ + 2

x = 3(x/r) + 2

xr = 3x + 2r

(x - 2)r = 3x

r = 3x/(x - 2)

Square both sides

r² = 9x²/(x - 2)²

(x - 2)²r² = 9x²

(x - 2)²(x² + y²) = 9x²

(x² + y²) = 9x²/(x - 2)²

y² = [9x²/(x - 2)²] - x²

y(θ) = 2sinθ - 1

y = 2y/r - 1

yr = 2y - r

(y - 1)r = 2y

r = 2y/(y - 1)

Square both sides

r² = 4y²/(y - 1)²

x² + y² = 4y²/(y - 1)²

x² = [4y²/(y - 1)²] - y²

8 0
3 years ago
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