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3 years ago

What is the sum of any integer and it's opposite?

2 answers:

8 0

Zero.
Any integer (positive or negative) and its opposite cancels each other out because they are different signs.

Example 5 + -5 = 0

Hope this helped,
Tiara

icang [17]3 years ago

5 0

Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

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How would you graph the solution set of x - 6 < -3?

mezya [45]

Answer:

Draw an open circle on 3 and shade to the left.

Step-by-step explanation:

Given:

The inequality given is:

$x-6$

In order to solve for 'x', we add 6 on both sides of the inequality. This gives,

$x-6+6$

Therefore, the solution is 'x' less than 3.

So, 'x' includes all the values that are less than 3 and excluding 3 as the inequality sign is less than.

So, on a number line, the values that are less than 3 are to the left of 3. So, we shade to the left. Also, 3 is excluded from the solution. So, we use an open circle as shown below.

So, the first option is the correct option.

7 0

3 years ago

Minimize Q=3x2+3y2, where x+y=6.

weeeeeb [17]

Answer:

$+(x + y) {}^{2} = 6 {}^{2} \\ x {}^{2} + 2xy + y {?}^{2} = 36$

$x {}^{2} + y {}^{2} = 36 - 2xy$

$q = 3(x {}^{2} + y {}^{2} )$

$q = 3(36 - 2xy) = 108 - 6xy$

5 0

3 years ago

To the nearest hundredth,what is the value of x ? A)36.08 B)41.51 C)47.81 D)72.88

maks197457 [2]

To solve, you have to use the Cosine of 41°. This is Adjacent side over Hypotenuse. Plug in the known side length and solve for x
Tan 41° = x / 55
x = Tan 41° · 55
x = 47.81 units

This would make the correct answer C. 47.81.

Hope this helps. Good luck! :)

7 0

4 years ago

Help meeeeeee ASAP helppppppp

agasfer [191]

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

8 0

3 years ago

Write an equation of the line with the given slope and y-intercept

Ilya [14]

Answer:

The equation of line is y = x + 10

Step-by-step explanation:

Given as :

The slope of line = m = 1

The y intercept of line is 10

Now equation of line in intercept form is y = m x + c

∵ The line have y intercept only then x axis of line is zero

So, The equation of line

10 = 1 × 0 + c

Or, 10 = 0 + c

So, c = 10

∴ The new equation of line become y = 1 × x + 10

I,,e y = x + 10

Hence The equation of line is y = x + 10 Answer

3 0

4 years ago