Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which pair of expressions has the same value?
A. (–2)(–7) and 4 + (–18)
B. (2)(7) and 4 + 18
C. (–2)(7) and 18 + (–4)
D. (2)(–7) and 4 – 18

Sagot :

Option A)

Assuming that (-2)(-7) and 4 + (-18) are equal.

  • ⇒ (-2)(-7) = 4 + (-18)

Using the property [-x × -y = x × y = xy]:

  • ⇒ (-2)(-7) = 4 + (-18)
  • ⇒ (2)(7) = 4 + (-18)

Using the property [x + (-a) = x - a]:

  • ⇒ (2)(7) = 4 + (-18)
  • ⇒ (2)(7) = 4 - 18
  • ⇒ 14 = -14    (False)

Option B)

Assuming that (2)(7) and 4 + 18 are equal.

  • ⇒ (2)(7) = 4 + 18
  • ⇒ 14 = 22   (False)

Option C)

Assuming that (–2)(7) and 18 + (–4) are equal.

  • ⇒ (-2)(7) = 18 + (-4)

Using the property [-x × y = -xy]:

  • ⇒ (-2)(7) = 18 + (-4)
  • ⇒ (-)(2)(7) = 18 + (-4)
  • ⇒ -14 = 18 + (-4)

Using the property [x + (-a) = x - a]:

  • ⇒ -14 = 18 + (-4)
  • ⇒ -14 = 18 - 4
  • ⇒ -14 = 14   (False)

Option D)

Assuming that (2)(-7) and 4 - 18 are equal.

  • ⇒ (2)(-7) = 4 - 18

Using the property [-x × y = -xy]:

  • ⇒ (-)(2)(7) = 4 - 18
  • ⇒ -14 = 4 - 18
  • ⇒ -14 = -14   (True)

Therefore, Option D is correct.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.