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Elodia [21]
3 years ago
7

PQ is parallel to RS. PR and QS are perpendicular to PQ and RS the ratio of the lengths of PR and QS is......

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

\frac{PQ}{PR} = \frac{RS}{QS} → \frac{PR}{PQ} = \frac{QS}{RS}

the ratio of PR to QS is 1:1 because they are congruent (equal)

If you draw a picture, you will see that PQRS is a parallelogram.


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What is the focus of the parabola?
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We have that
y = −14x² − 2x − 2

First, we need to transform the equation into its vertex form 
(x - h)²=4p(y - k)
<span>Group terms that contain the same variable
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<span>Factor the leading coefficient 
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Rewrite as perfect squares

y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)

4p=-1/14------> p=-1/56

This is a vertical parabola and its focus <span>(h, k + p)</span>

<span>h=-1/14</span>

<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>

<span>
</span>

<span>the focus is</span>

<span>(-1/14,-1526/784)</span>



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