Answer:
1) f
4 * ¼ = 1 (Multiplicative inverse property)
2) c
6 * 1 = 6 (Identity property of multiplication)
3) h
5 + 7 = 7 + 5 (Commutative property of addition)
4) j
If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)
5) a
4(x - 3) = 4x - 12 (Distributive property)
6) i
3(5) = 5(3) (Commutative property of multiplication)
7) k
Rules that allow us to take short cuts when solving algebraic problems.(Properties)
8) d
5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)
9) g
4 + (-4) = 0 (Additive inverse property)
10) e
2 + 0 = 2 (Identity property of addition)
11) b
A + (B + C) = (A + B) + C (Associative property of addition)
Answer:
3(x - 3)(x + 2)
Step-by-step explanation:
take out a common factor of 3 from each term
= 3(x² - x - 6)
to factor the quadratic consider the factors of - 6 which sum to - 1
These are - 3 and + 2, hence
3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form
Answer:
71
Step-by-step explanation:
The square represents 90 degrees.
A triangle’s three angles ALWAYS adds up 180.
To find the missing angle:
180 - 90 = 90
90 - 19 = 71.
Therefore, the answer is 71
Answer:
1x-1y
Step-by-step explanation:
Check if you can write an equation relating the term number to the actual value
n1=3
n2=10 = 3+7
n3= 17 = n2+7 = n1+7+7 = n1 +2*7
n4= 24 = n1+3*7
so you will notice a pattern
for the x-th term
n_x =3+(x-1)*7
the 50th term would be n_50 = 3+(50-1) * 7