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padilas [110]
2 years ago
12

Explain how you can use absolute value to tell wether the sum of two integers is positive or negative

Mathematics
1 answer:
Rudiy272 years ago
3 0

Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

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Y=5x-2 graphed is 1/3 a solution to the equation
ivolga24 [154]

Answer:

1/3 =5x-2

3(1/3)=3(5x-2)

1=15x-6

7=15x

x=7/15   (7/15 , 1/3)

Step-by-step explanation:

8 0
3 years ago
A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o
marta [7]

Answer:

2.20752 x 10^{24}

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

  • 365 days refer to the total number of days per year
  • 86,400 seconds refer to the number of seconds per day

Let's solve.

  • 365 x 86,400 = 31,536,000 or 3.1536 x 10^{7}

<em>Therefore, one year has 3.1536 x </em>10^{7}<em> seconds.</em>

Next, you have to know the number of seconds in 10 billion years.

  • (3.1536 x 10^{7}) x  (1.0 x 10^{10}) = 3.1536 x 10^{17}

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

  • (3.1536 x 10^{17}) x 7,000,000 = 2.20752 x 10^{24}
6 0
2 years ago
1) Explain the Distributive Property in your own words.
kenny6666 [7]

Answer:

The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.

5(10+x)=5(10)+5(x)=50+5x

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6 0
3 years ago
Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent.
Alina [70]
..............................[a+b]2+c2
4 0
2 years ago
The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle
victus00 [196]

Answer:

The angles in the triangle and 10, 80 and 90

Step-by-step explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90

4 0
2 years ago
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