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Dahasolnce [82]
3 years ago
7

Alice solved the following equation:

Mathematics
1 answer:
natulia [17]3 years ago
7 0
The 6 should be 30 in step two.

EXPLANATION

Following the Addition Property of Equality, you have to transpose the constant term to the other side by adding its negative or opposite value on both sides.

That is,

-18 - 3 x = 12
-18+18 - 3 x = 12+18
-3x=30

Following the equation, you'll have

-3x=30
x=-10
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what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?
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Answer:

y = 2x -4

Step-by-step explanation:

y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)

To find the perpendicular equation of a line,

You need the product of their gradients to be -1

-\frac{1}{2} \times ? = -1

Divide both sides by -\frac{1}{2}

? = 2

The gradient of the perpendicular line is 2

Straight line formula is in the form y = mx + c

y = 2x + c

We're nearly there, we just need to find out c.

Luckily, we're given a point (0, -4)

(x, y) = (0, -4)

y = 2x + c

-4 = 2(0) + c\\-4 = 0 + c\\c = -4

We then end up with...

y = 2x -4

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