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ludmilkaskok [199]
4 years ago
13

-9×-(17-7×) combine like terms

Mathematics
1 answer:
posledela4 years ago
8 0
Sure. So we have -9x, and then we can distribute the negative, just as we would do with a number. That gives us -9x-17-7x. We can combine the -9x and -7x to get -16x. Therefore, our answer is -16x-17. Hope this helped!
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write the equation of the line that passes through the vertex of the parabola y=-2x^2+12x-11 and the point (-2,47)
pshichka [43]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{12}{2(-2)}~~,~~-11-\cfrac{12^2}{4(-2)} \right)\implies \left( 3~~,~~-11+\cfrac{144}{8} \right) \\\\\\ (3~~,~~-11+18)\implies (3~~,~~7) \\\\[-0.35em] ~\dotfill

\bf \stackrel{vertex}{(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{47}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{47}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}}\implies \cfrac{40}{-5}\implies -8

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-8}(x-\stackrel{x_1}{3}) \\\\\\ y-7=-8x+24\implies y=-8x+31

5 0
4 years ago
How many ways can 54,625 be written in expanded form
forsale [732]
In the number 54, 625 from left to right:

5 represents 5,
2 represents 20
6 represents 600
4 represents 4000
5 represents 50,000


so 
<span>
54,625=50,000+4,000+600+20+5=5*10,000+4*1000+6*100+2*10+5


another way we can write this number is </span>5.10^4+4.10^3+6.10^2+2.10+5


Answer:
i) 5*10,000+4*1000+6*100+2*10+5
ii) 5.10^4+4.10^3+6.10^2+2.10+5

2 ways, which are essentially the same thing.
7 0
4 years ago
Which pair of numbers have a greatest common factor of 7?
ella [17]
<span>The GCF is the number that is a factor of both (or all) of the numbers of a given set and which is the biggest factor of this kind (often the smaller number of the two)

7 and 14 have a greatest common factor of 7.

 28 and 7 also have a GCF of 7, so the first two responses fit.

21 and 3 have a GCF of 3, so that isn't correct.

7 and 1 have a GCF of 1, so that's incorrect as well.</span>
3 0
4 years ago
Read 2 more answers
The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is
son4ous [18]

The answers

1. XOZ

2. OY

3. O

5 0
3 years ago
Read 2 more answers
Help me find the surface area ​
Brut [27]

Answer:

Step-by-step explanation:

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area of 3 by 7 face = 3×7 = 21 cm²

area of 5 by 7 face = 5×7 = 35 cm²

area of 4 by 7 face = 4×7 = 28 cm²

total surface area = 2×6 + 21 + 35 + 28 = 96 cm²

6 0
3 years ago
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