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Mnenie [13.5K]
3 years ago
11

When are the absolute value and the opposite of a rational number equal

Mathematics
1 answer:
natulia [17]3 years ago
8 0
|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

|-0.5| = - (-0.5) = 0.5
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Sin(x+y)-sin(x-y)/cos(x+y)+cos(x-y)=tany<br> how do i verify this?
dsp73

Answer:

Step-by-step explanation:

Numerator

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sin

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Denominator

cos

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cos

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−

sin

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sin

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sin

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---------------------------------------------------------------

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7 0
3 years ago
Can someone please answer this for brainlist pls.
o-na [289]

Answer:

If your answer is linear, I would suggests: 1,2,4 maybe there's another one but I'm confident about those though. Hopefully I helped you with my options.

Step-by-step explanation:

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Ruben is buying bricks for a project. He knows that 5 bricks weigh 26 pounds. He wants
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3 0
3 years ago
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8 0
3 years ago
1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an
asambeis [7]

Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

a)

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

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Then we have the point (0, -3)

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The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

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