Which expression shows x and its opposite are 0?(1 point)

Responses

x+(−1/x)=0
x plus left parenthesis negative Start Fraction 1 over x End Fraction right parenthesis equals 0

x+x=0
x plus x equals 0

x+(1/x)=0
x plus left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals 0

x+(−x)=0

11 answers

The expression that shows \( x \) and its opposite are 0 is:

\( x + (-x) = 0 \)

This is because \( -x \) is the opposite of \( x \), and when you add a number and its opposite, the result is always 0.

a. b. c. or d.

The correct answer is:

d. \( x + (-x) = 0 \)

This expression accurately shows that \( x \) and its opposite are equal to 0.

Which expression correctly shows the sum of opposite numbers?(1 point)
Responses

(−25)+25=0
left parenthesis negative 25 right parenthesis plus 25 equals 0

(−25)+(−25)=0
left parenthesis negative 25 right parenthesis plus left parenthesis negative 25 right parenthesis equals 0

(−25)+25=50
left parenthesis negative 25 right parenthesis plus 25 equals 50

(−25)+(−25)=−50

The expression that correctly shows the sum of opposite numbers is:

(−25) + 25 = 0

This demonstrates that adding a number and its opposite results in zero.

is that correct

Yes, that is correct!

The expression (−25) + 25 = 0 correctly shows that the sum of a number and its opposite equals zero. The other options either do not represent the sum of opposites or provide incorrect sums.

Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
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The situation that describes opposite quantities that, when combined, would equal 0 is:

A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west.

In this case, the eastward and westward distances are opposites. When the family rides 4 miles east and then 4 miles west, the net distance from home is 0 miles.

is that coorect

Yes, that is correct!

The situation in which a family rides their bikes four miles due east from home and then rides four miles due west indeed describes opposite quantities. The eastward and westward distances cancel each other out, resulting in a net displacement of 0 miles from home.

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