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sergeinik [125]
3 years ago
5

Identify the focus and directrix of the parabola whose equation is (y-4)^2 = -12(x-7)

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0

Answer : Focus (4,4)  , directrix x=10

Given equation is

(y-4)^2 = -12(x-7)

The given equation is in the form of

(y-k)^2 = 4p(x-h)

Where vertex is (h,k)

h = 7  and k = 4  so vertex is (7,4)

4p = -12 so p = -3

Focus is (h+p, k)

h=7, k=4  and p = -3

focus is (7-3, 4) that is (4,4)

now we find directrix

Directrix x= h-p

So x= 7-(-3)= 10

Focus (4,4)  , directrix x=10


vredina [299]3 years ago
5 0

Answer : Focus (4,4)  , directrix x=10

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Determine whether theses lines are parallel, perpendicular or neither
belka [17]

Answer:

Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1              (-1) / (3/2) = (-2/3)

Step-by-step explanation:

Parallel lines have the same slope

Perpendicular lines have negative reciprocal slopes

line 1: 6x - 4y = 2

line 1: 4y =  6x - 2

line 1:   y = (3/2)x - 0.5

line 2:  y = (-2/3)x - 6

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8 0
3 years ago
Simplify the expression 7C4
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To simplify 7C4 we use the combination formula given by:
nCr=n!/[(n-r)!r!]
thus:
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n=7 and r=4
7C4
=7!/[(7-4)!4!]
=5040/[6×24]
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The answer is 35

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3 years ago
Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?
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3 0
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Read 2 more answers
Please help if you can pic attatched
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

CI=\left[\begin{array}{ccc}1&6&0\\0&1&2\\1&-1&3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]

Subtract row 3 from row 1:

\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&7&-3\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\1&0&-1\end{array}\right]

Subtract row 3 from 7 times row 2:

\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&17\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\-1&7&1\end{array}\right]

Divide row 3 by 17:

\left[\begin{array}{ccc}1&6&0\\0&1&2\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\0&1&0\\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]

Subtract 2 of row 3 from row 2:

\left[\begin{array}{ccc}1&6&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}1&0&0\\\frac{2}{17} &\frac{3}{17} &\frac{-2}{17} \\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]

Subtract 6 of row 2 from row 1:

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] \left[\begin{array}{ccc}\frac{5}{17}&\frac{-18}{17}&\frac{12}{17}\\\frac{2}{17} &\frac{3}{17} &\frac{-2}{17} \\\frac{-1}{17} &\frac{7}{17} &\frac{1}{17} \end{array}\right]

C^{-1}=\frac{1}{17} \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]

C^{-1}b=\frac{1}{17} \left[\begin{array}{ccc}5&-18&12\\2&3&-2\\-1&7&1\end{array}\right]\left[\begin{array}{c}10&1&3\end{array}\right]=\left[\begin{array}{c}4&1&0\end{array}\right]

3 0
3 years ago
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