When the point (-5,4) is reflected

Mathematics

1 answer:

Slav-nsk [51]3 years ago

6 0

Answer:

(-5,-4)

Step-by-step explanation:

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Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

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3 years ago

At Adam's Hats, there are 52 baseball caps and 13 other hats. What percentage of the hats are baseball caps?

Solnce55 [7]

Total hats = 52 + 13 = 65

Percentage that are baseball = number of baseball/ total hats x 100.

52/65 = 0.8 x 100 = 80%

80% are baseball hats

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3 years ago

Round to the nearest hundredth : 3.2649

Bas_tet [7]