If you simplify using the distributive property you should get D
Answer:
245 in^2.
Step-by-step explanation:
The net consists of 1 square and 4 triangles.
Surface area = 7^2 + 4 * 1/2 * 7 * 14
= 49 + 196
= 245 in^2.
We are looking for two numbers that have a product of -36 and a sum of -4. We are given -9 as one of the numbers, so the only other number that would work here is +4. Thus, the other factor is x + 4.
Hope this helps!! :)
Answer:
7p¹⁵/ 3q¹²
Step-by-step explanation:
From the question given above,
28p⁹q¯⁵ / 12p¯⁶q⁷
To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:
28p⁹q¯⁵ / 12p¯⁶q⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷
Recall:
Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ
Therefore,
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²
Recall:
X¯ⁿ = 1/Xⁿ
Therefore,
(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²
(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²
Hence,
28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²
Answer:
-2.1x +14.4y
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine like terms.
(12.7y-3.1x)+5.9y-(4.2y-x)
= 12.7y -3.1x +5.9y -4.2y +x
= x(-3.1 +1) +y(12.7 +5.9 -4.2)
= -2.1x +14.4y
