Answer:
Width = Length + 11
Perimeter:
(2 × Width) + (2 × Length) = 54 Feet
Substitute Width = Length + 11,
(2)(Length + 11) + (2 × Length) = 54
Length + 11 + Length = 54 ÷ 2
2Length + 11 = 27
2Legth = 27 - 11 = 16
Length = 16 ÷ 2 = 8
Width = 8 + 11 = 19
Answer:
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
The volume is the product of the 3 dimensions
= (x + 2)(2x - 1)(3x + 1)
= (x + 2)(6x^2 -x - 1)
= 6x^3 - x^2 - x + 12x^2 -2x - 2
= 6x^3 + 11x^2 - 3x - 2 Answer
Its choice 3.
Step-by-step explanation:
If the vector CD is a multiple of the vector BC
(CD = kBC, where k is a real constant
and k =/= 0),
Then BCD is a straight line.
Vector BC = Vector BA - Vector CA
= (5a - 2b) - (3a + b) = (2a - 3b).
Vector CD = Vector CA + Vector AD
= (3a + b) + (3a - 10b) = (6a - 9b)
Since 3(2a - 3b) = (6a - 9b), => k = 3,
The points B, C and D are collinear.
Hence we conclude BCD is a straight line.
