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3 years ago

Write an equation (-2, 10), (10, -14)

1 answer:

5 0

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-2)}}}\implies \cfrac{-24}{10+2}\implies \cfrac{-24}{12}\implies -2$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-10=-2(x+2) \\\\\\ y-10=-2x-4\implies y=-2x+6$

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3 years ago

Read 2 more answers

Which of the following equations has the same solutions as the equation 3x + 2y = -12? Check all that apply.

Mariulka [41]

Answer:

$B.\ -3x - 2y = 12$

$C.\ 15x + 10y = -60$

$E.\ 6x + 4y = -24$

$F.\ 1.5x + y =-6$

Step-by-step explanation:

Given

$3x + 2y = -12$

Required

Determine equations with same solution as $3x + 2y = -12$

For a solution to have the same solution as $3x + 2y = -12$ , the equation must be expressed as $3x + 2y = -12$

$A.\ 3x - 2y = 12$

This can not be expressed as $3x + 2y = -12$

$B.\ -3x - 2y = 12$

Multiply through by -1

$-1(-3x - 2y) = 12 * -1$

$3x + 2y = -12$

This has the same solution as the given equation

$C.\ 15x + 10y = -60$

Divide through by 5

$\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}$

$3x + 2y = -12$

This has the same solution as the given equation

$D.\ 6x + 2y = -12$

Divide through by 2

$\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}$

$3x + y = -6$

This can not be expressed as $3x + 2y = -12$

$E.\ 6x + 4y = -24$

Divide through by 2

$\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}$

$3x + 2y = -12$

This has the same solution as the given equation

$F.\ 1.5x + y =-6$

Multiply through by 2

$2*1.5x + 2*y =-6*2$

$3x + 2y =-12$

This has the same solution as the given equation

$G.\ x + \frac{2}{3}y = -12$

Multiply through by 3

$3 * x + 3*\frac{2}{3}y = -12*3$

$3x + 2y = -36$

This can not be expressed as $3x + 2y = -12$

The equations with the same solution as $3x + 2y = -12$ are the ones that we were able to expressed as $3x + 2y = -12$ .

And the equations are:

$B.\ -3x - 2y = 12$

$C.\ 15x + 10y = -60$

$E.\ 6x + 4y = -24$

$F.\ 1.5x + y =-6$

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3 years ago

Determine if the following expressions are equivalent. If so, by what property are they equivalent.

jeka94

Answer:

C. Yes, by distributive property

Step-by-step explanation:

Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6

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3 years ago

Which of the following best describes the set of all numbers of the form a+bi where a and b are any real numbers and i equals sq

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<h3>Answer: B) Complex numbers</h3>

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If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number

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3 years ago

I need help with this

Aleksandr [31]

Answer:

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2 years ago