Answers created by Joseph W.

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• How do you simplify #\frac { 8x } { x ^ { 2} - 9x + 14} \div \frac { x ^ { 2} + 5x } { x ^ { 2} - 4} \div \frac { x + 2} { x - 7}#?
  
• How do you use the point on the line and the slope of the line to find three additional points through which the line passes: Point: (5, -6) Slope: m = 1?
  
• A model train, with a mass of #12 kg#, is moving on a circular track with a radius of #9 m#. If the train's rate of revolution changes from #6 Hz# to #4 Hz#, by how much will the centripetal force applied by the tracks change by?
  
• Question #53ca1
  
• A projectile is shot from the ground at an angle of #pi/8 # and a speed of #5 /7 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?
  
• How do you find the roots of #2m^2-7m-13=-10# using the quadratic formula?
  
• Question #3beb0
  
• A projectile is fired with velocity u making angle #theta# with the horizontal. What is the change in velocity( from initial ) when it is at the highest point?
  
• How do you find the axis of symmetry, vertex and x intercepts for #y=x^2-4x#?
  
• Water is being poured into a cylindrical vase at a rate of 15 millilitres per second. If the radius of the vase is 10 cm, find the rate with which the height of water in the vase is rising. ?
  
• The Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day. How many kilowatt-hours are generated in 7 weeks?
  
• How do you solve #4/13= (-2b)/13 + (6b)/26#?
  
• How do you solve #log_3(x+16) - log_3(x) = log_3(2)#?
  
• How do you solve #x^2+8x+18 = 0# by completing the square?
  
• How do you solve #2x+7y=15# and #x=3-2y# using substitution?
  
• What is the greatest common factor of 40 and 24?
  
• What is #log_6 60 - log_6 30#?
  
• What is the equation of the line normal to #f(x)= x^3+4x^2 # at #x=1#?
  
• What comes next in the sequence #8, 4, 10, 6, 12, 8#?
  
• The equation of line is -3y+4x=9. How do you write the equation of a line that is parallel to line and passes through the point (-12,6)?
  
• How do you find the center of the radius of #(x-4)^2 +y^2 =16#?
  
• How do you simplify #(2x + 3)(2x - 3)#?
  
• How do you write the equation in point slope form given (2, 5) (3,10)?
  
• How do you find the equation of a line in slope intercept form given the x intercept 2 and y intercept 3?
  
• What is the equation of the line normal to # f(x)=sqrt(1/(x^2+2) # at # x=1#?
  
• How do you differentiate #(sqrt x)(x-1)#?