Answers edited by jags

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• The sum of the squares of two consecutive positive numbers is 61. What is the smaller number?
  
• If y varies inversely as x, and y = 12 as x = 2, how do you find y for the x-value of 6?
  
• How do you simplify 4 square root 8 - 3 square root 2?
  
• If #3t-7=5t#, what is the value of #6t#?
  
• How do you factor #2x^2 - 3 = 10#?
  
• Two corners of an isosceles triangle are at #(8 ,3 )# and #(5 ,4 )#. If the triangle's area is #4 #, what are the lengths of the triangle's sides?
  
• Question #01baa
  
• A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #21 # and the height of the cylinder is #7 #. If the volume of the solid is #42 pi#, what is the area of the base of the cylinder?
  
• How do you factor the expression #2x^2-5x+3#?
  
• How do you find the area of the triangle given a=28.16 cm, b=60.15 cm, c=51.17 cm?
  
• Cups A and B are cone shaped and have heights of #32 cm# and #21 cm# and openings with radii of #13 cm# and #11 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
  
• A rectangle with an area of #120# #i n^2# has a length #8# inches longer than two times its width. What is the width of the rectangle?
  
• A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin?
  
• The base of a triangular pyramid is a triangle with corners at #(1 ,2 )#, #(5 ,5 )#, and #(2 ,7 )#. If the pyramid has a height of #9 #, what is the pyramid's volume?