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lisabon 2012 [21]
3 years ago
13

I'll give 100 points to who gives the best answer.

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Total shaded area is 41 square feet.

Split the shaded area into 3 shapes, calculate the area of each shape then add them together.

See attached picture.

Area of non shaded region:

8x 16 = 128 square feet - 41 = 87 square feet.

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If the original function F(x) = 2x^2 - 1 is shifted to the left 3 units to make the function g(x) , which expression would repre
aleksandrvk [35]
That would be option  2  
2(x + 3)^2 - 1
4 0
3 years ago
let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)
victus00 [196]
Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

<u>Range
</u>
<u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>
x = 1/2 & -4

<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
3 0
3 years ago
The equation for the circle below is x2 + y2 = 16. What is the length of the<br> circle's radius?
ikadub [295]

Answer:

8

Step-by-step explanation:

Because 16 is the diameter and to find the radius you need to divide by 2

8 0
3 years ago
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)

7 0
3 years ago
Z = -3x +5y<br> Minimum value of z?
NeTakaya

Answer:

minimum value of z is 0

Step-by-step explanation:

if x and y both equal zero, then the value of z is zero, which is your answer.

7 0
3 years ago
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