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geniusboy [140]
3 years ago
5

Which expression is equivalent to the following complex fraction? X/x-3/x^2/x^2-9

Mathematics
2 answers:
Likurg_2 [28]3 years ago
6 0

Answer:

c

Step-by-step explanation:

rewona [7]3 years ago
3 0

Answer:

C) \frac{x+3}{x}

Step-by-step explanation:

The given expression is

\frac{\frac{x}{x-3} }{\frac{x^2}{x^2-9} }

We rewrite to obtain:

\frac{x}{x-3} \div \frac{x^2}{x^2-9}

Multiply the first fraction by the reciprocal of the second to get;

\frac{x}{x-3} \times \frac{x^2-9}{x^2}

Factor the numerator using difference two squares;

\frac{x}{x-3} \times \frac{x^2-3^2}{x^2}

\frac{x}{x-3} \times \frac{(x-3)(x+3)}{x^2}

Cancel out the common factors to get;

\frac{1}{1} \times \frac{(1)(x+3)}{x}

This simplifies to;

\frac{x+3}{x}

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RoseWind [281]

Answer:

translation . translation. rotation

3 0
2 years ago
A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim
valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

n \times 0.05 + d \times 0.10 = 9.15

0.05n + 0.10d = 9.15  ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

<h3>d = 45</h3>

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

<h3>n = 93</h3>

Thus 45 dimes and 93 nickels were in bank

3 0
3 years ago
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x
mojhsa [17]

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Given Figures A, B and C on a coordinate plane with the coordinates below:

Triangle A has points (1, -2), (3, -2), (3, -5).

Triangle B has points (4, 0), (6, 0), (6, -3).

Triangle C has points (4, 0), (6, 0), (6, 3).

The fact that each triangle is a right triangle only shows that the triangles are similar.

For any two shapes to be congruent, they must have in addition to the same shape, the same size.

Therefore, for Triangle A to be congruent to Triangle C, Triangle A must be congruent to Triangle B and Triangle B must be congruent to Triangle C.

7 0
2 years ago
Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the
nirvana33 [79]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Evaluate the following expression.<br><br> 5-3
Valentin [98]

subtract 5-3 = 2


check 2+3 =5

8 0
3 years ago
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