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Delicious77 [7]
3 years ago
13

Simplify: sec x – sec x (sin x)2

Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

Sec (x) - 2 tan (x)

Step-by-step explanation:

CaHeK987 [17]3 years ago
5 0

Answer:

Cos x

Step-by-step explanation:

HINT:

1 -   Sin² x = Cos² x

Sec x = \frac{1}{Cos x}

Sec x - Sec x*(Sin x)² = Sec x (1 - Sin² x)

                                  = Sec x * Cos²x

                                  = \frac{1}{Cos x}*Cos^{2} x

                                  = Cos x

                               

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Given the function, f (x) = sq3x+3+3, choose the correct transformation.
iren2701 [21]

Answer:

B.

Step-by-step explanation:

First, let's start from the parent function. The parent function is:

f(x)=\sqrt{x}

The possible transformations are so:

f(x)=a\sqrt{bx-c} +d,

where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.

From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.

Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).

7 0
3 years ago
Central Park in New York City is shaped like a rectangle. On a map of the park
mariarad [96]

Answer:

6

Step-by-step explanation:

Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),

(-1.25, 0.25), and (1.25, 0.25)

The length L of the shape will be:

L = 0.25 - ( - 0.25 )

L = 0.25 + 0.25

L = 0.5

The width of the shape will be:

W = 1.25 - ( - 1.25)

W = 1.25 + 1.25

W = 2.5

Perimeter P = 2L + 2W

Substitute the Length and the width into the formula

P = 2(0.5) + 2(2.5)

P = 1 + 5

P = 6 metres

Therefore, the perimeter of the shape is 6 metres

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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