To determine the additive inverse of a number, you need to find the opposite value that, when added to the number, equals zero. In this case, the additive inverse of 29 is -29, as (-29) + 29 = 0.
To solve an equation like y + 12 = -17, you want to isolate the variable y. To do this, you can subtract 12 from both sides of the equation. This gives you y = -17 - 12, which simplifies to y = -29.
Similarly, for the equation 7g = -42, you want to isolate the variable g. You can divide both sides of the equation by 7, canceling out the coefficient of g. This gives you g = -42 / 7, which simplifies to g = -6.
For the expression 5(7+11), you need to apply the distributive property, where you multiply the number outside the parentheses (5) by each term inside the parentheses. This gives you 5 * 7 + 5 * 11, which simplifies to 35 + 55.
The solution to the equation -12k = -60 can be found by dividing both sides of the equation by -12, canceling out the coefficient of k. This gives you k = -60 / -12, which simplifies to k = 5.
The equation 0 + 15 = 15 demonstrates the identity property of addition, which states that adding zero to any number results in that same number.
To solve the equation m + (-11) = -19, you can isolate the variable m by adding 11 to both sides of the equation. This gives you m = -19 + 11, which simplifies to m = -8.
The sentence "15 less than x is 8" can be written as an equation by subtracting 15 from both sides of the equation. This gives you x - 15 = 8.
The solution to the equation 36y = 4 can be found by dividing both sides of the equation by 36, canceling out the coefficient of y. This gives you y = 4 / 36, which simplifies to y = 1/9.
The equation 6 + 9 = 9 + 6 demonstrates the commutative property of addition, which states that changing the order of numbers being added does not affect the sum.
To solve the equation m + (-20) = -32, you can isolate the variable m by adding 20 to both sides of the equation. This gives you m = -32 + 20, which simplifies to m = -12.
The absolute value of -8 is equal to 8, so the symbol ">" (greater than) would make the statement "|-8| > 8" true.
The solution to the equation 7m = -56 can be found by dividing both sides of the equation by 7, canceling out the coefficient of m. This gives you m = -56 / 7, which simplifies to m = -8.
To solve the equation x - 5 = 9, you can isolate the variable x by adding 5 to both sides of the equation. This gives you x = 9 + 5, which simplifies to x = 14.
The sentence "7 more than q is -7" can be written as an equation by subtracting 7 from both sides of the equation. This gives you q + 7 = -7.
Given the choices provided, I am unable to determine which number line shows the graph of -6, |-4|, and -2. Please provide the options for me to provide an accurate response.