Simplify x2 + 10x + 9 over 2(x + 9) − (x + 9)

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Answer:

x+1

Step-by-step explanation:

First factor x² + 10x + 9 using the AC method.

(x +1) (x + 9)

then simplfy the denominater.

x + 9

finally cancel the factor of x + 9 from top and bottom.

the answers is x + 1.

hope this helps :)

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The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than

USPshnik [31]

Answer:

The difference between the longest and shortest sides of the triangle is 4 cm.

Explanation:

Step Number One:

Let the shortest side of the triangle have a length of x.

The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.

The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.

Step Number Two:

The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:

Shortest Side + Middle Side + Longest Side = Perimeter

x + 3/2x + 3/2x + 2 = 18

4x + 2 = 18

4x = 16

x = 16/4

x = 4

Step Number Three:

This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.

8 cm - 4 cm = 4 cm

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