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Sunny_sXe [5.5K]
4 years ago
8

The endpoints of are E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of ?

Mathematics
1 answer:
Masteriza [31]4 years ago
8 0

Answer:

(\frac{x_e+x_f}{2} , \frac{y_e+y_f}{2})

Step-by-step explanation:

the coordinates of midpoint is average of x value of endpoints and average of y value of endpoints

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If sin(2x) = cos(x + 30°), what is the value of x?
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Step-by-step explanation:

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sin(2 x) = cos(x + 30 °)

Rewrite the right hand side using cos(θ) = sin(θ + π/2):

sin(2 x) = sin(30 ° + π/2 + x)

Take the inverse sine of both sides:

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or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Add x to both sides:

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or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Divide both sides by 3:

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or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Subtract x from both sides:

Answer:  x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z

or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z

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3 years ago
How do you do number 9?
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