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natka813 [3]
3 years ago
7

The first step in determining the solution to the system of equations, y = -x2 - 4x – 3 and y = 2x + 5, akyettically is to set t

he
two equations equal as -* - 4x - 3 = 2x + 5. What is the next step?

A.Set y = 0 in y = -x2 - 4x - 3.
B.Factor each side of the equation
C.Use substitution to create a one variable equation
D.Combine like terms onto one side of the equation.
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Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

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3 years ago
Determine LaShawn's average speed in meters per hour
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A mathematics book has 360 pages, of which 50% are on algebra, 20% on geometry and the remainder on arithmetic how many pages ar
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Answer:

30% of the pages are arithmetic, or 108 pages

Step-by-step explanation:

50% are on algebra = 180 pages

360 x .5 = 180

20% are on geometry = 72 pages

360 x .2 = 72

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180 + 72 + 108 = 360 pages

50% + 20% + 30% = 100%

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D) There is no association between commuting preferences and gender.

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