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Naily [24]
3 years ago
12

IV

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0
The answer is all real numbers
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Simplify the difference.
mr_godi [17]

\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}

The last choice is appropriate.

3 0
3 years ago
8x+x^2-2y-64+y^2=0 standard form with explanation
xz_007 [3.2K]
X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because  a²+/-2ab+b² = (a+/-b)²

(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.

And if you are studying circles,ellipses  and hyperbolas, the standard form should look like
\frac{(x+4)^{2}}{9^{2}} + \frac{(y-1)^{2}}{9^{2}} =1






8 0
3 years ago
Amber recorded the prices of candy, based on weight, from two different stores in the table and graph below.
lawyer [7]
B if u divide the price by the pound at any point on the graph and in the chart, carmines is less
5 0
2 years ago
Read 2 more answers
The temperature at midnight was −11°C. By midday, the temperature was 5°C.
m_a_m_a [10]

Answer:

-3 celcius

Step-by-step explanation:

6 0
3 years ago
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Jenson has 256 beads. He gets 67 more beads from a friend. He then uses 157 of the beads to make necklaces for his teachers. Fin
Murljashka [212]
So Jenson has 256 beads + 67 beads =  323 beads - 157 beads for the <span>necklaces = </span> 166 beads divided by 8 beads per bracelet = 20 bracelets with the remainder of 6 beads.  
8 0
3 years ago
Read 2 more answers
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