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2 years ago

Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4

Mathematics

1 answer:

GenaCL600 [577]2 years ago

8 0

Answer:

$\frac{1}{(x+1)(x-2)}$

Step-by-step explanation:

$\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}$

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Lerok [7]

Answer:

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Step-by-step explanation:

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2 years ago

There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school

Alex17521 [72]

Answer:

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Step-by-step explanation:

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2 years ago

Solve 28 + 7y =91<br><br>Y=.....

Anna35 [415]

Answer:

$y = 9$

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n

Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

$(x,y)\to (1.5x,1.5y)$

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

$(x,y)\to (1.5x,1.5y)$

Using this rule, we get

$M(-4,6)\to M'(1.5(-4),1.5(6))$

$M(-4,6)\to M'(-6,9)$

And,

$N(2,6)\to N'(1.5(2),1.5(6))$

$N(2,6)\to N'(3,9)$

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0

3 years ago

A person 44-ftft tall casts a shadow 1313-ftft long. at the same time, a nearby tree casts a shadow 3434-ftft long. find the

3241004551 [841]

The ratio of height : shadow =44/1313

Therefore height of the tree,x=3434*(44/1313)
=115.08 ft

If you meant 13 and 34 as the length of shadows respectively, then also x=115.08 ft

6 0

3 years ago