Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
You download 4/5 as many rock songs as pop songs (a true shame), which is 40(4/5)= 32 rock songs.
v = hvh
Simplifying the above equation:
v = h × v × h
Taking the RHS 'v' to LHS
⇒ v ÷ v = h × h
⇒ 1 = h × h
⇒ 1 = 
⇒ h = √1
⇒ h = 
So h can have the values +1 or -1.
Putting h = +1 in the equation,
v = (+1) × v × (+1)
⇒ v = v
Hence, v can take any integer value.
Putting h = -1 in the equation, when h = 1.
v = (-1) × v × (-1)
⇒ v = v
Hence, v can take any integer value when h = -1.
Hence, as long as h is either +1 or -1, v can take any integer value.
Answer:
Step-by-step explanation:
Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably. When you factor a polynomial, you solve for x which are the solutions of the polynomial. Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.
Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with. Each zero or solution is the x value when y = 0. For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0. What we have then is a binomial factor of the polynomial in the form (x - 3). These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.
Answer:
Step-by-step explanation:
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