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Answer:
Angle between the two vectors is 20.7718°.
Step-by-step explanation:
The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)
Now the dot product between two vector is defined as
x.y = ║x║║y║cosθ
Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40
║x║=
= 
║y║=
'
Thus, we get
40 =
×
×Cos θ
Thus, Cos θ = 
Cos θ = 0.935
θ = 
θ = 20.7718°
Answer: It's the first option
Step-by-step explanation: positive 2x because it is going up 2, 1 to the right (rise/run) and +5 because it touches the y-axis at 5. -2x because it's going down 2, 1 right (rise, in this case negative/run) and -2 because it touches the y-axis at -2.
Answer:
B is the right answer
Step-by-step explanation:
1(z^8-20)
=1/z^12
First you need to write the numerical equation for the given:

When you will simplify this fraction, you can divide the expressions. Based on the law of exponents when you divide like terms with different exponents, you can subtract the exponents of the denominator from the numerator.
So if you will simplify the equation:

Subtract the following:
Exponents of a 7-4 and;
Exponents of b 8-4
Your answer should be