Answer:
a. ⁴√x³
d. ¹²√x⁹
Step-by-step explanation:
First, simplify 9⁄12 to ¾. Then, according to the Definition of Rational Exponents [part II], ⁿ√aᵐ = aᵐ\ⁿ, you set your denominator equal to the root, and your numerator becomes your exponent, keeping your base INSIDE the radical.
I am joyous to assist you anytime.
There are three steps
1 rearrange the equation so "y" is on the left and everything else is on the right
2 plot the "y=" line (make it a solid line for y< or y> and a dashed line for y< or y>)
3 shade above the line for a "greater than" (y> or y>) line under that or below the line for a less than (y< or y< line under it)
Answer:
True
Step-by-step explanation:
every x only has one y
1. Two steps left and one step up to the computer lab
2. Music class
3. 9 left and 5 down
4. Science and math
5. 1,4
6. Second quadrant, where the entrance is
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
