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solmaris [256]
3 years ago
15

Use the unit circle to find the value of sec (0)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

According to unit circle the value of (0) is o

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3x -4y = 9<br> -5 + 4y= -23<br> Help ?
Brums [2.3K]

Answer:

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Step-by-step explanation:

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Answer:h

Step-by-step explanation:

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Find the area of the shaded portion in the square.
Katarina [22]

Answer:

The area of the shaded = 8 - 2π units²

Step-by-step explanation:

The area of the shaded portion = area square - area not shaded portion

Not shaded portion consists of two equal segments

∵ The side of the square = the radius of the circle = 2

∵ The measure of each angle of the square = π/2 (90° = π/2 rad)

∵ Area each segment = Area sector - area triangle

∵ Area triangle = 1/2 × (2) × (2) = 2 units²

∵ Area sector = (1/2)r²Ф ⇒ r = 2 , Ф = π/2

∴ Area sector = (1/2) (2)² (π/2) = π units²

∴ Area each segment = π - 2

∴ Area not shaded = 2(π - 2) = 2π - 4 units² ⇒ two segment

∵ Area square = 2 × 2 = 4 units²

∴ Area shaded portion = 4 - (2π - 4) = 4 - 2π + 4

                                      = 8 - 2π units²

6 0
3 years ago
Given that α and β are the roots of the equation x² + 3x + 4 = 0, what is the value of
Aleks [24]

Answer:

9

Step-by-step explanation:

sum of roots = α + β

= -b/a

= -3/1 …………………. [b = 3, a = 1]

= -3

  • (α + β)² = ( -3 )² = -3 × -3 = 9

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6 0
3 years ago
Find the slope intercept form of the liner function using the points (-6,6) and (-2,4) Show all work
olga2289 [7]

y = - \frac{1}{2} x + 3

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 6 ) and (x₂, y₂ ) = (- 2, 4 )

m = \frac{4-6}{-2+6} = \frac{-2}{4} = - \frac{1}{2}

y = - \frac{1}{2} x + c is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 4 ), then

4 = 1 + c ⇒ c = 4 - 1 = 3

y = - \frac{1}{2} x + 3 ← in slope-intercept form


4 0
3 years ago
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