N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
Answer:
112 m^2
Step-by-step explanation:
A = b * h
b = 9 + 5 = 14 m
h = 8 m
So
A = 14 x 8 = 112 m^2
Answer:
7y + 24
Step-by-step explanation:
Think of the negative sign to the left of the parentheses as being -1. Then apply the distributive property. The effect of a negative sign to the left of parentheses or a 1 to the left of parentheses is that each term inside the parentheses changes sign.
-(-7y - 24) = -1(-7y - 24) = (-1)(-7y) - (-1)(24) = 7y - (-24) = 7y + 24
27 * 35
= 20*35 + 7 * 35
= 700 + 245
= 945
