Write an equation for a rational function with:

1 answer:

5 0

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.
$0 = (x-5)(x+1)$
The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.
$y = \frac{(x-5)(x+1)}{(x+4)(x-3)}$
Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6
$y = \frac{6(x-5)(x+1)}{(x+4)(x-3)}$

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A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$