All categories

2 years ago

How do you know the opposite of a nonzero integer?

Mathematics

2 answers:

jasenka [17]2 years ago

5 0

<h2>Answer with explanation:</h2>

<em>The opposite of a non-zero integer means the additive inverse of the number.</em>

It is found by adding a number to the given integer such that there sum is equal to the additive identity.

( Additive Identity--

The additive identity is the value which when added to any number gives the resultant as the same number .

We know that the identity under addition is: 0

because ,

a+0=a for every a )

Let a be any non-zero integer and let b be the opposite of a.

i.e.

a+b=0

i.e.

b= -a

This means that the opposite of a non-zero integer is a non-zero integer with the same magnitude but different sign.

For example--

Opposite of -2 is: 2

and Opposite of 3 is: -3

Fantom [35]2 years ago

4 0

The opposite of a non-zero integer can be found by just switching the sign.

example :
2...the opposite is -2
-3...the opposite is 3
5....the opposite is -5

basically, they are opposites if they are the same distance away from 0, but on opposite sides of the number line

You might be interested in

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

$(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\$

The slope of the equation is given by

$m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\$

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

$m_2 = - \frac{1}{m_1}$

So the slope of the other line is

$m_2 = \frac{1 }{3} \\\\$

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

$(x_1, y_1) = (6, 4)$

The point-slope form is given by,

$y - y_1 = m(x -x_1)$

Substitute the value of slope and the coordinates of point C

$y - 4 = \frac{1 }{3} (x - 6)\\\\$

To get the y-intercept, substitute x = 0

$y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\$

So, the point is

$(x, y) = (0, 2)$

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

6 0

2 years ago

In ΔVWX, x = 5.3 inches, w = 7.3 inches and ∠W=37°. Find all possible values of ∠X, to the nearest 10th of a degree.

STALIN [3.7K]

Answer:

que?

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?

blondinia [14]

Answer:

C. x² − 8x + 24 − 72/(x+3)

Step-by-step explanation:

See attached picture for long division method.

Logically, we know x³ − 5x² factors to x² (x − 5). Since x + 3 isn't a factor, we know the remainder isn't 0. So we can narrow the options down to A or C.

One way to find the remainder is through long division. Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².

(x + 3) (x² − 8x + 24 − 72/(x+3))

(x + 3) (x² − 8x + 24) − 72

x³ − 8x² + 24x + 3x² − 24x + 72 − 72

x³ − 5x²

6 0

2 years ago

William has 32 coins that are all either quarters or dimes. The coins have a value of $5.00. How many dimes does William have?

Arte-miy333 [17]

Answer:

Step-by-step explanation:

d + q = 32

.10d + .25q = 5.00

d + q = 32

10d + 25q = 500

-10d - 10q = -320

10d + 25q = 500

15q = 180

q= 12 quarters

d + 12 = 32

d = 20 dimes

5 0

2 years ago

While scuba diving, Rajeev dove to a depth of 12.6 feet below the surface of the water and then descended another 8.7 feet. What

VARVARA [1.3K]

12.6+8.7=X X being his new position

6 0

2 years ago

Read 2 more answers