Answers edited by SagarStudy

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• Is #f(x)=-x^3+2x^2-4x-2# concave or convex at #x=0#?
  
• What is the centroid of a triangle with corners at #(4 , 1 )#, #(3 , 2 )#, and #(5 , 0 )#?
  
• How do solve the following linear system?: # 3x – 2y = 7 , 11x + 3y + 7 = 0 #?
  
• How do you solve the inequality #4.5x - 3.8 ≥ 1.5x - 2.3#?
  
• A circle's center is at #(3 ,4 )# and it passes through #(0 ,2 )#. What is the length of an arc covering #( pi ) /6 # radians on the circle?
  
• A charge of #-2 C# is at #(6 , -5 )# and a charge of #-3 C# is at #(3, 5 ) #. If both coordinates are in meters, what is the force between the charges?
  
• The length of a rectangle is half of its width. The perimeter of the rectangle is 90 cm. What are the dimensions of the rectangle?
  
• How do you find the roots, real and imaginary, of #y=4x^2 +x -3-(x-2)^2 # using the quadratic formula?
  
• How do you find the x and y intercepts for #y=x#?
  
• What is the Cartesian form of #(24,(15pi)/6))#?
  
• A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle?
  
• What is #(-17pi)/12 # radians in degrees?
  
• What is the complex conjugate of ##?
  
• What is the slope of any line perpendicular to the line passing through #(-12,14)# and #(-13,1)#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #7 #, #5 #, and #7 #?
  
• What is the distance between #(2 ,(7 pi)/6 )# and #(3 , (- pi )/8 )#?
  
• What is the slope of the line passing through the following points: # (0,2) ; (-1, 5)#?
  
• What is the slope of any line perpendicular to the line passing through #(15,-12)# and #(24,27)#?
  
• What is the sum of the geometric sequence 1, 4, 16, … if there are 8 terms?
  
• How do you find the slope & y-intercept of the equation #y = -2x + 3#?
  
• How do you solve #-x/3-5=2x#?
  
• A triangle has sides with lengths of 5, 8, and 3. What is the radius of the triangles inscribed circle?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #1 #, #2 #, and #2 #?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #15 #, #16 #, and #12 #?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #9 #, #4 #, and #8 #?
  
• What is the distance between the following polar coordinates?: # (4,pi), (5,pi) #
  
• What is #sqrt(-16)#, written in the form #a+bi#?
  
• A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/6#, the angle between sides B and C is #(5pi)/12#, and the length of B is 2, what is the area of the triangle?
  
• How do you convert #(3sqrt3, - 3)# from rectangular coordinates to polar coordinates?
  
• What is the slope of the line passing through #(1,-1); (4,7)#?
  
• How do you find the asymptotes for #(x-3)/(x-2)#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #7 #, #4 #, and #9 #?
  
• A charge of #4 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #27 J# to #3 J#, what is the voltage between points A and B?
  
• What is the distance between #(10, 8)# and #(-10, 6) #?
  
• A circuit with a resistance of #6 Omega# has a fuse melts at #5 A#. Can a voltage of #32 V# be applied to the circuit without blowing the fuse?
  
• What is the slope of any line perpendicular to the line passing through #(4,-7)# and #(1,-12)#?
  
• How do you multiply # (2-3i)(-3-7i) # in trigonometric form?
  
• Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees. What are the measures of the small and large angle?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #24 C# and #32 C# that are #12 m # apart?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #6 #, and #3 #?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #1 #, #1 #, and #2 #?
  
• 27 identical drops of water are equally and simillarly charged to potential V.They are then united to form a bigger drop.The potential of the bigger drop is??Thank u!!
  
• What is the difference between medians, perpendicular bisectors, and altitudes?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/8#. If side C has a length of #2 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• How do you find the polar coordinate of the following point (-2, 5)?
  
• The force of repulsion that two like charges exert on each other is 3.4 N. What will the force be if the distance between the charges is increased to 4 times its original value?
  
• How much work does it take to raise a #7 kg # weight #28 m #?
  
• What is the velocity on impact of a ball dropped from a 20 m cliff?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(7pi)/12#. If side C has a length of #16 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• Can the sides of a triangle have lengths 46, 50, and 15?
  
• An object with a mass of #7 kg# is hanging from a spring with a constant of #2 (kg)/s^2#. If the spring is stretched by # 8 m#, what is the net force on the object?
  
• How much power is produced if a voltage of #12 V# is applied to a circuit with a resistance of #72 Omega#?
  
• How do you convert #( 1 , - sqrt3 )#into polar coordinates?
  
• What is the slope of any line perpendicular to the line passing through #(14,19)# and #(12,15)#?
  
• How do you convert #(sqrt(3), 1)# into polar forms?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/6# and the angle between sides B and C is #pi/12#. If side B has a length of 3, what is the area of the triangle?
  
• How do you find the x and y intercepts for # y=3x-2 #?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• What is the distance between #(-10, 6)# and #(5, 2) #?
  
• ?How do you find the sum of the infinite geometric series 4 + 0.4 + 0.04 + ....?
  
• How do you solve for P: A = P(1 + rt)?
  
• Two charges of # -6 C # and # 4 C# are positioned on a line at points # -2 # and # 9 #, respectively. What is the net force on a charge of # -1 C# at # 1 #?
  
• How do you divide # (2+i)/(3+7i) # in trigonometric form?
  
• How do you divide #( -i-5) / (i -6 )# in trigonometric form?
  
• A charge of #-2 C# is at the origin. How much energy would be applied to or released from a # 4 C# charge if it is moved from # (7 ,5 ) # to #(3 ,-2 ) #?
  
• A circuit with a resistance of #4 Omega# has a fuse melts at #6 A#. Can a voltage of #12 V# be applied to the circuit without blowing the fuse?
  
• What is the noun in the sentence "Justin told me to work on my book."?
  
• What is the distance between #(0, 0, 8) # and #(8, 6, 2) #?
  
• What is the equation of the line perpendicular to #y=-5/8x # that passes through # (-6,3) #?
  
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