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aksik [14]
3 years ago
10

What’s the equation for the order pairs (1,-5) and (-2,5)

Mathematics
1 answer:
liq [111]3 years ago
6 0

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})\qquad
(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-5)}{-2-1}\implies \cfrac{5+5}{-2-1}\implies \cfrac{10}{-3}


\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-(-5)=-\cfrac{10}{3}(x-1)\implies y+5=-\cfrac{10}{3}x+\cfrac{10}{3}
\\\\\\
y=-\cfrac{10}{3}x+\cfrac{10}{3}-5\implies y=-\cfrac{10}{3}x-\cfrac{5}{3}

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guajiro [1.7K]

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

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Step-by-step explanation:

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A car salesman makes 2% commission on all cars, x, that he sells. How much commission does he make?
HACTEHA [7]

Answer: 0.02x

Step-by-step explanation:

The value of the cars the salesman makes is x in this instance.

The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.

= 2% * x

= 0.02 * x

= 0.02x

If for instance he sells $40,000 worth of cars, his commission would be:

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Solve for y.<br> 2 (y-2) = 4y + 8 - 2 (-4y - 3)
Lubov Fominskaja [6]

Answer:

-1.5

Step-by-step explanation:

  • 2 (y-2) = 4y + 8 - 2 (-4y - 3)
  • 2y-4=4y+8+8y+6
  • 2y-4=12y+14
  • -4-14=14y-2y
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5 0
3 years ago
Read 2 more answers
Find all the zeroes of the equation(with simple steps).
uysha [10]

<u>Answer-</u>

<em>The zeros are, 5,\ -5,\ 4i,\ -4i</em>

<u>Solution-</u>

\Rightarrow -3x^4+27x^2+1200=0

\Rightarrow -3(x^2)^2+27(x^2)+1200=0

Here,

a = -3, b = 27, c = 1200

So,

x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}

=\dfrac{-27\pm \sqrt{729+14400}}{-6}

=\dfrac{-27\pm 123}{-6}

=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}

=\dfrac{96}{-6},\ \dfrac{-150}{-6}

=-16,\ 25

So,

\Rightarrow x^2=25,\ -16

\Rightarrow x=\sqrt{25},\ \sqrt{-16}

\Rightarrow x=5,\ -5,\ 4i,\ -4i

8 0
3 years ago
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