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2 years ago

|3x| = 9 Variable please.

Mathematics

1 answer:

Lorico [155]2 years ago

7 0

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3 (-9) is 9.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Write the slope-intercept form of the equation of the line; (-5,-4) and prep. To y equals 5x plus 1

ohaa [14]

Answer:

$y=-\frac{1}{5} x-5$

Step-by-step explanation:

The given line is defined by: $y=5x+1$ , where we see that the slope is 5 and the y-intercept 1.

In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.

"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: $\frac{1}{5}$ .

We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

$y=-\frac{1}{5} x+b$

we require then that when $x=-5$ , the value of $y=-4$ .

Therefore: $-4=-\frac{1}{5} (-5)+b\\-4=\frac{5}{5} +b\\-4=1+b\\b=-4-1=-5$

Then our final answer is that the new line should have the form: $y=-\frac{1}{5} x-5$

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3 years ago