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Lisa [10]
3 years ago
13

Translate A(-3,-3) B(4,-5) C(0,0) by 4 units to the left and two units down

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
A(-7,-5) B(-9,2) C(-4,-2)
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Multiply (−4) × (−2) × (−5).
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Answer: -40 or negative forty

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
djyliett [7]
To factor both numerator and denominator in this rational expression we are going to substitute n^{2} with x; so n^{2} =x and n ^{4} =  x^{2}. This way we can rewrite the expression as follows:
\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } =  \frac{ x^{2} -11x+30}{ x^{2} -7x+10}
Now we have two much easier to factor expressions of the form a x^{2} +bx+c. For the numerator we need to find two numbers whose product is c (30) and its sum b (-11); those numbers are -5 and -6. (-5)(-6)=30 and -5-6=-11.
Similarly, for the denominator those numbers are -2 and -5. (-2)(-5)=10 and -2-5=-7. Now we can factor both numerator and denominator:
\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}
Notice that we have (x-5) in both numerator and denominator, so we can cancel those out:
\frac{x-6}{x-2}
But remember than x= n^{2}, so lets replace that to get back to our original variable:
\frac{n^{2}-6 }{n^{2}-2 }
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is n^{2} -2 \neq 0
n^{2}  \neq 2
n \neq +or- \sqrt{2}
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In this case if x<100 George will be losing money.  So he will only earn a profit when he sells more than 100 DVDs.  Essentially (x-100) represents his break-even point.
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No, the longest chord possible is equal to the diameter...
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3 years ago
Help!!!Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year.
natima [27]

Answer:

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bit.^{}

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Step-by-step explanation:

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