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3 years ago

Y+5=-4(x-3) in standard form

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

Answer:

4x + y = 7

Step-by-step explanation:

The standard form of a linear equation is: ax + by = c

That means that we have to transform our equation into that form.

The original equation is: y + 5 = -4(x-3)

and we solve it:

y + 5 = -4x + 12

We move -4x to the left so its sign be possitive

4x +y +5 = 12, we move +5 to the right

4x + y = 12 - 5 , and we simplify

4x + y = 7

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Classify the following expression by degree and term 5x+2x^2-8

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3 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

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8 0

2 years ago

Question 1 (1 point)

Natalija [7]

Answer: OPTION B.

Step-by-step explanation:

Given the equation $48=-8(\frac{3b}{4}+2)$ you can find an equivalent equation by simplifying it.

You need to remember the multiplication of signs:

$(-)(-)=+\\(+)(+)=+\\(+)(-)=-$

Now you can apply the Distributive property:

$48=\frac{(-8)(3b)}{4}+(-8)(2)\\\\48=\frac{-24b}{4}-16$

Simplifying the equation, you get:

$48=-6b-16$

You can observe that this equivalent equation matches with the equation provided in option B.

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3 years ago

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ch4aika [34]

Answer:

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Step-by-step explanation:

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2 years ago