Find the equation of the parabola using focus and directrix

Find the equation of the parabola with focus (3, -1) and directrix y = 5. A) x=-1/4(y+1)^2+3 B) x=-1/4(y+1)^2+4 C) y=-1/12(x-3)^2+2 D) y=-1/12(x-3)^2-1

Finding the vertices of a hyperbola.

Find the vertices of the hyperbola with the following equation: (x-3)^2/25 - (y+4)^2/4 =1 EITHER: A) (8,-4) and (-2,-4) B) (5,-4) and (1,-4) C) (3,-2) and (3,-6) D) (3,1) and (3,-9)

Quadratic equation: Which equation is shown by the graph?

Which equation is shown by the graph? Please download file to see the graph.

Circles and Ellipses: Which equation models the graph?

Please view the attachment below to match up the correct equation with the graph.

Logarithmic Equatations.

(a). SOLVE FOR X:LOG2X=8 (b). WRITE AS A SINGLE LOGARITHM:5LNX-1N(X+1)

solving equation using natural logarithm

4e^2x = 53 My problem reads: 4e to the 2x power equals 53. When I plug my solution back in to check, I find that it is incorrect. Please send me step-by-step explanation because I do not understand the concept and my textbook has no examples for guidance.

Division

PART ONE: solve: (3n^5 w)^2 /(n^3 w)^0 A) 0 B) 9n^7w C) 6n^4w D) 9n^10w^2 PART TWO: solve: 9c^7 w^-4 (-d^2)/(15c^3 w^6 (-d)^2) A) 3c^4d^2/5w^10 B) 3c^4/5w^2 C) 3c^4/5w^10 D) -3c^4/5w^10 PART THREE: solve: 5m^-3 /6^-1 m^-2 A) -5m/6 B) 30/m C) 30m D) -5/6m PART ...continues

Division

PART ONE: solve: (32x^6 - 24x^2 y^9 + 4x^2 y) / (4x^2 y) A) 8x^4 y^3 - 6y^8 + 1 B) 8x^3 y^4 - 6y^8 + 1 C) 8x^3 y^2 - 6xy^7 + 1 D) 8x^4 y^3 - 6xy^8 + 1 PART TWO: solve: (15m^3 + 26m^2 - 11m - 6) / (5m-3) A) 3m^2 + 26/5 times m - 5 and 1/5 B) 3m^2 + 2m- 2 C) 3m^2 + 7m - 2 D) 3m^2 + 26m ...continues

Discriminant

Find the vaule of the discriminant of the equation. Describe the roots completely. Do not solve. A) 31; 2 real, irrational roots B) -44; 2 imaginary roots C) 76; 2 real, rational roots D) 76; 2 real., irrational roots

Length and midpoint of the segment

A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment. A) L= the square root of 73, (3.5,-3) B) L= the square root of 97, (3.5,-4) C) L= the square root of 97, (3.5,-3) D) L= the square root of 55, (3.5,-3)