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Reika [66]
4 years ago
9

Solve for x I need help please

Mathematics
1 answer:
olchik [2.2K]4 years ago
5 0
Check the picture below.

bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.

so.. .we can just use the medium and small proportions.

solve for "x".

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Identify the vertical asymptotes of f(x) = quantity x minus 4 over quantity x squared plus 13 x plus 36
choli [55]
Expression: f(x) = [x - 4] / [x^2 + 13x + 36].

The vertical asympotes is f(a) when the denominator of f(x) is zero and at least one side limit when you approach to a is infinite or negative infinite.

The we have to factor the polynomial in the denominator to identify the roots and the limit of the function when x approachs to the roots.

x^2 + 13x + 36 = (x + 9)(x +4) => roots are x = -9 and x = -4

Now you can write the expresion as: f(x) = [x - 4] / [ (x +4)(x+9) ]

Find the limits when x approachs to each root.

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Limit of f(x) when x approachs to - 9 by the left is  negative infinite and limit when x approach - 9 by the right is infinite, then x = - 9 is a vertical asymptote.

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4 years ago
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A hotel has $4,695 to buy new pillows. If the cost of each pillow is $5, how many pillows will the hotel be able to buy?
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Answer:

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Area = 8 ft x 4 ft
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Easy as that!
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