How do you identify the opposite and the absolute value of a rational number?

Answers

Answer 1

Answer: Rational numbers are the numbers that can be written as the fraction of two integer

Answer 2

Answer:

Answer: Opposites are the same distance from 0 as the number line in the opposite direction. The absolute value of any number is its distance from 0

Step-by-step explanation:

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Find the slope of the parallel to each given line.1) y=2/3x-2
2)y=9/5x-5

Find the slope of a line perpendicular to each given line

1)y=-1/2x-2
2)y=-x-1

Answers

Slopes of parallel lines are same, only the y-intercepts are different

Slopes of perpendicular lines are opposite reciprocals, which means when they are multiplied, it equals to -1.

1)
Parallel lines have the same slopes
y=mx+b where m is the slope

so the slope of a parallel line would be 2/3

2)
y=9/5x -5
slope will be 9/5

Next set of questions:

1) y=-1/2x - 2

$-(1)/(2) * x = -1 \to x = 2$

So that means the slope is 2

2) y=-x-1
Slope is -1, and we need to find the slope for a line perpendicular to it.

$-1 * x = -1 \to x=1$

So the slope is 1

Find the solution(s) to the system of equations. select all that apply y=x^2 - 4 y= 2x-5 - 2

Answers

ANSWER

The solution is (1,-3)

EXPLANATION

The given equations are:

$y = {x}^(2) - 4$

and

$y = 2x - 5$

Equate both equations:

${x}^(2) - 4 = 2x - 5$

${x}^(2) - 2x - 4 + 5 = 0$

${x}^(2) - 2x + 1 = 0$

$(x - 1)(x - 1) = 0$

$x = 1$

Put x=1 into any of the equations, preferably equation (2)

$y = 2(1) - 5 = - 3$

The solution is (1,-3)

Answer:(-1,-3)

Step-by-step explanation:

A cartoon lasts 18 minutes.How many seconds is the cartoon?

Answers

The Cartoon lasts 1080 seconds.

what is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A cartoon lasts 18 minutes.

We know, 1 minute = 60 seconds

So, 18 minutes= 60 x 18

= 1080 seconds

Hence, the cartoon lasts 1080 seconds.

Learn more about unitary method here:

brainly.com/question/22056199