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Scrat [10]
4 years ago
11

Let ​

Mathematics
2 answers:
Veronika [31]4 years ago
7 0

Answer:

x² - 12x + 36 = 97

Step-by-step explanation:

Given

x² - 12x = 61

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 6)x + (- 6)² = 61 + (- 6)², so

x² - 12x + 36 = 61 + 36

x² - 12x + 36 = 97

uranmaximum [27]4 years ago
5 0

Answer:

Step-by-step explanation:

Add the square of half the x-coefficient to both sides.

 x² -12x +(-6)² = 61 +(-6)²

<h2>  x² -12x +36 = 97</h2><h2 />
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Step-by-step explanation:

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OK. A proportional relationship will graph as a straight line passing through the origin. Or in the case of a table the value y/x will remain constant.

So for the 1st problem, create a table of the hourly pay that Josiah and Tillery get for their first 5 years. To start you off, the 1st 2 years will be:

Year 1: Josiah = 14, Tillary = 7
Year 2: Josiah = 16, Tillary = 9

Now for each year, calculate the value of Josiah's pay by Tillary's pay. If the relationship is proportional, you'll get the same value every time. Put that value into the table as well.

And for the 2nd problem, simply graph a line with the number of text messages per boy and per girl. Have the x-axis represent text messages per boy and the y-axis represent text messages per girl. Make a few points for various numbers of messages, and draw a line through those points.

Is the resulting line straight? If it's straight, does it pass through (0,0)?

6 0
3 years ago
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Flauer [41]

Answer:

\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2

Step-by-step explanation:

Given the expression

\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)

Remove parentheses: (a) = a

=5n^2-4nm-9m^2+7n^2+4nm+8m^2

Group like terms

=5n^2+7n^2-4nm+4nm-9m^2+8m^2

Add similar elements: 5n^2+7n^2=12n^2

=12n^2-4nm+4nm-9m^2+8m^2

Add similar elements: -4nm+4nm=0

=12n^2-9m^2+8m^2

Add similar elements:  -9m^2+8m^2=-m^2

=12n^2-m^2

Therefore, we conclude that:

\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2

5 0
3 years ago
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