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WINSTONCH [101]
3 years ago
10

Simplify the expression x^2+x-2/8x^2+4x/3x^2+10x+8

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:

Step-by-step explanation:

x² + x  - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1)  = (x-1)(x+2)

8x² + 4x = 4x ( 2x + 1)

3x² + 10x + 8 = 3x² + 6x + 4x + 4*2  =3x  * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)

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Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con
vagabundo [1.1K]

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

Volume \:  of  \: cone   \\ =  \frac{1}{3}  \times Volume \: of \: cylinder \\ =  \frac{1}{3}  \times132\pi  \\ = 44\pi \:  {cm}^{3}

4 0
2 years ago
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If the graph of the function h is defined by = h(x)+x^2+9 is translated vertically downward by 9 units, it becomes the graph of
natulia [17]
The answer is g(x) = x².
Solution:
The graph of h(x) = x²+9 translated vertically downward by 9 units means that each point (x, h(x)) is shifted onto the point (x, h(x) - 9), that is, 
     (x, h(x)) → (x, h(x) - 9)
The translated graph that represents the function is defined by the expression for g(x):
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h(x) = x²+9 → g(x) = x² shows that the graph of the equation g(x) = x² moves the graph of h(x) = x²+9 down nine units.
6 0
3 years ago
What does 9y =27 equation mean
MrRa [10]

9y=27

divide by 9 each side

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3 years ago
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Solve the inequality. 8≤-2x+16
alex41 [277]
Use photo math it will help
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3 years ago
Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y
tamaranim1 [39]

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

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y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

3 0
3 years ago
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