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Ilia_Sergeevich [38]
4 years ago
5

Find f(2), f(0), f(-1)

Mathematics
1 answer:
mr Goodwill [35]4 years ago
7 0

Put the values of x to the equation of the function f:

f(x)=\dfrac{x+21}{9x-3}\\\\f(2)=\dfrac{2+21}{9(2)-3}=\dfrac{23}{18-3}=\dfrac{23}{15}\\\\f(0)=\dfrac{0+21}{9(0)-3}=\dfrac{21}{-3}=-7\\\\f(-1)=\dfrac{-1+21}{9(-1)-3}=\dfrac{20}{-9-3}=\dfrac{20}{-12}=-\dfrac{5}{3}

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Find the length of the diagonal BD in the quadrilateral ABCD shown in the coordinate plane ?
Leno4ka [110]

bearing in mind B is at (4,3) and D is at (-2,-4).


\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad D(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BD=\sqrt{(-2-4)^2+(-4-3)^2}\implies BD=\sqrt{(-6)^2+(-7)^2} \\\\\\ BD=\sqrt{36+49}\implies BD=\sqrt{85}

6 0
4 years ago
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Katarina [22]
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8 0
3 years ago
Please Help me this is the first part of 4 in this question. I will be posting the other 3 shortly. I need the answer. This is v
Ket [755]

Answer:

y = 1/6x + 5

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6 0
3 years ago
What is the answer to this equation
julia-pushkina [17]

Answer:

x = - \frac{494}{3} = - 164\frac{2}{3}

Step-by-step explanation:

75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}

6 0
3 years ago
I’m stuck on this question please help
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Take the price of pears (£1.30 per kilogram) and multiply it by the amount of pears (7kg). You get 9.1 so now you take the total amount spent (£12.70) and subtract the 9.1 and you get 3.6 now that is the amount you spent on the apples. So take 3.6 and divide it by the amount of apples you got (2kg) you will get 1.8 and that is your overall answer.
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4 years ago
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