What is the quotient in simplified form?

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

(a+2)/(a-5) ÷ (a+1)/(a²-8a+15) =
Note : (a²-8a+15) = (a-3) (a-5)
∴ (a+2)/(a-5) ÷ (a+1)/(a²-8a+15) = [(a+2)/(a-5)] ÷ [(a+1)/(a-3) (a-5)] =
= [(a+2)/(a-5)] * [(a-3) (a-5)/(a+1)] = (a+2)(a-3)/(a+1)

not: the divide sign (÷) becomes (*)
and (a+1)/(a²-8a+15) becomes (a²-8a+15)/(a+1)

The original divisor of
{(a+2)/(a-5) ÷ (a+1)/(a²-8a+15)} = [(a+2)/(a-5)] * [(a-3) (a-5)/(a+1)]
If a = 1 or a = 5 that expression would be undefined, so we will restrict those values

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The figure below is made out of rectangles what is the perimeter of the figure below note that not all the side links are labele

Vladimir [108]

Answer:

Perimeter of the figure = 24 m.

Step-by-step explanation:

The given figure is a square of side 6 m in which a rectangle of length 4 m and width 2 m is cut at the corner.

Therefore, the missing sides are 6-4 = 2 m and 6-2 = 4 m.

Hence, the perimeter of the figure = 6 + 6 + 2 + 2 + 4 + 4 = 24 m.