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3 years ago

Complete the sentences to describe the function f (x) = StartFraction 2 x squared + 16 x Over 16 x cubed minus x EndFraction.

Mathematics

2 answers:

Margaret [11]3 years ago

8 0

Answer:

1. 0

2. 0,x=0

Step-by-step explanation:

Nostrana [21]3 years ago

4 0

Answer:

0 and 0, x=0

Step-by-step explanation:

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Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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3 years ago

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koban [17]

An ellipse uses major axis and minor axis.

The major is the larger axis and the minor is the smallest.

Since this ellipse is wider than it is tall the horizontal red line would be the major axis.

The answer is B.

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4 years ago

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