The focus of a parabola is (-4,2). its directrix is x= -6. what are the equation and the vertex of the parabola? a. x + 5 = 1/4(y-2)^2 ; vertex: (-5,2)b. x + 5 = (y-2)^2 ; vertex: (-5,2)c. y + 2 = 1/16(x+4)^2 ; vertex: (-4,-2)d. y + 2 = 4(x+4)^2 ; vertex: (-4,-2)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

7.3

step-by-step explanation:

sounds & other waves originate from any vibrating object

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step-by-step explanation: