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aleksley [76]
3 years ago
6

Write a function using cotangent that would create the graph of y = tan(x).

Mathematics
1 answer:
natta225 [31]3 years ago
7 0
Hi is there a picture that is suppose to go with this ?
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Does anyone get this ???
nikklg [1K]

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Step-by-step explanation:

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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
bixtya [17]

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AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

  (OO')^2=(OD)^2+(O' D)^2

\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

Hence, AB=2\sqrt{ab}

6 0
3 years ago
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should
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Step-by-step explanation:

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3 years ago
Determine if the given ordered pairs are solution of x+ 4y = 7.
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Answer:

(3, 1 ) is a solution

Step-by-step explanation:

To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.

(3, 1 )

3 + 4(1) = 3 + 4 = 7 = right side , then a solution

(2, 1 )

2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution

6 0
2 years ago
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