Which two numbers multiply to -18 and add to -7?

Which two numbers multiply to -18 and add to -7?

• A. -9 and 2
• B. 6 and -3
• C. 1 and -18
• D. 3 and -6

Answer: (A)

To find two numbers that multiply to -18 and add to -7, we can start by examining the given options. The product of the two numbers must be -18, which means one number has to be positive and the other has to be negative. Additionally, these two numbers together must sum to -7. Looking at the first choice, -9 and 2: - When we multiply -9 and 2, we get: \[ -9 \times 2 = -18 \] - Next, we check their sum: \[ -9 + 2 = -7 \] Both conditions are satisfied: they multiply to -18 and add to -7. Thus, -9 and 2 are the correct numbers. For the other choices: - The second choice, 6 and -3, multiplies to -18 but adds to 3, which does not satisfy the conditions. - The third choice, 1 and -18, multiplies to -18 but adds to -17, again failing to meet the requirement. - The fourth choice, 3 and -6, multiplies to -18, but adds to -3, which is not what we need

To find two numbers that multiply to -18 and add to -7, we can start by examining the given options.

The product of the two numbers must be -18, which means one number has to be positive and the other has to be negative. Additionally, these two numbers together must sum to -7.

Looking at the first choice, -9 and 2:

• When we multiply -9 and 2, we get:

[

-9 \times 2 = -18

]

• Next, we check their sum:

[

-9 + 2 = -7

]

Both conditions are satisfied: they multiply to -18 and add to -7. Thus, -9 and 2 are the correct numbers.

For the other choices:

• The second choice, 6 and -3, multiplies to -18 but adds to 3, which does not satisfy the conditions.

• The third choice, 1 and -18, multiplies to -18 but adds to -17, again failing to meet the requirement.

• The fourth choice, 3 and -6, multiplies to -18, but adds to -3, which is not what we need