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)
9514 1404 393
Answer:
(b) 5, 17
Step-by-step explanation:
You can try the answer choices easily enough.
2 +3×8 ≠ 14
2 +3×5 = 17 . . . . this choice works (5, 17)
2 +3×2 ≠ 20
2 +3×4 ≠ 18
2 +3×10 ≠ 12
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Or, you can solve the equation:
x + (2 +3x) = 22
4x = 20 . . . . . . . . subtract 2
x = 5 . . . . . . . . . . divide by 4
The numbers are 5 and (22 -5) = 17.
Answer:
Step-by-step explanation:
Denominators: 6 is 2 times more than 3
Make them common fractions
5/6 and 2/6
They are 3/6 apart, or 1/2 apart
A^2 + 9 = 36 now solve subtract 9 from both sides to get a^2 = 27 then find the square root of 27 and that should be your answer so like 5.196 something
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
