Answers edited by SagarStudy

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• What is the Cartesian form of #(24,(15pi)/6))#?
  
• 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?
  
• How do you solve for P: A = P(1 + rt)?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #6 #, and #3 #?
  
• How much power is produced if a voltage of #12 V# is applied to a circuit with a resistance of #72 Omega#?
  
• What is the complex conjugate of ##?
  
• How do you find the slope & y-intercept of the equation #y = -2x + 3#?
  
• How do you multiply # (2-3i)(-3-7i) # in trigonometric form?
  
• How do you find the x and y intercepts for # y=3x-2 #?
  
• How do you convert #(3sqrt3, - 3)# from rectangular coordinates to polar coordinates?
  
• 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?
  
• 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 #sqrt(-16)#, written in the form #a+bi#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #1 #, #1 #, and #2 #?
  
• Is #f(x)=-x^3+2x^2-4x-2# concave or convex at #x=0#?
  
• What is the equation of the line perpendicular to #y=-5/8x # that passes through # (-6,3) #?
  
• What is the difference between medians, perpendicular bisectors, and altitudes?
  
• Can the sides of a triangle have lengths 46, 50, and 15?
  
• How do you find the roots, real and imaginary, of #y=4x^2 +x -3-(x-2)^2 # using the quadratic formula?
  
• 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 the noun in the sentence "Justin told me to work on my book."?
  
• What is the distance between #(2 ,(7 pi)/6 )# and #(3 , (- pi )/8 )#?
  
• A triangle has sides with lengths of 5, 8, and 3. What is the radius of the triangles inscribed circle?
  
• 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?
  
• How do solve the following linear system?: # 3x – 2y = 7 , 11x + 3y + 7 = 0 #?
  
• 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?
  
• What is the slope of any line perpendicular to the line passing through #(14,19)# and #(12,15)#?
  
• 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 ) #?
  
• What is the slope of the line passing through #(1,-1); (4,7)#?
  
• 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?
  
• 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?
  
• 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 #?
  
• What is #(-17pi)/12 # radians in degrees?
  
• How do you find the polar coordinate of the following point (-2, 5)?
  
• What is the slope of the line passing through the following points: # (0,2) ; (-1, 5)#?
  
• How do you solve the inequality #4.5x - 3.8 ≥ 1.5x - 2.3#?
  
• 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?
  
• 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 divide # (2+i)/(3+7i) # in trigonometric form?
  
• How do you divide #( -i-5) / (i -6 )# in trigonometric form?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #15 #, #16 #, and #12 #?
  
• How do you solve #-x/3-5=2x#?
  
• 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?
  
• 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 use Heron's formula to find the area of a triangle with sides of lengths #1 #, #2 #, and #2 #?
  
• What is the distance between the following polar coordinates?: # (4,pi), (5,pi) #
  
• ?How do you find the sum of the infinite geometric series 4 + 0.4 + 0.04 + ....?
  
• 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?
  
• 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?
  
• 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 use Heron's formula to find the area of a triangle with sides of lengths #7 #, #5 #, and #7 #?
  
• What is the centroid of a triangle with corners at #(4 , 1 )#, #(3 , 2 )#, and #(5 , 0 )#?
  
• 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?
  
• What is the slope of any line perpendicular to the line passing through #(-12,14)# and #(-13,1)#?
  
• 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!!
  
• How do you find the x and y intercepts for #y=x#?
  
• 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 #9 #, #4 #, and #8 #?
  
• What is the distance between #(10, 8)# and #(-10, 6) #?
  
• How do you convert #(sqrt(3), 1)# into polar forms?
  
• What is the slope of any line perpendicular to the line passing through #(15,-12)# and #(24,27)#?
  
• What is the distance between #(-10, 6)# and #(5, 2) #?
  
• 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 sum of the geometric sequence 1, 4, 16, … if there are 8 terms?
  
• How do you convert #( 1 , - sqrt3 )#into polar coordinates?
  
• What is the distance between #(0, 0, 8) # and #(8, 6, 2) #?
  
• What is the slope of any line perpendicular to the line passing through #(4,-7)# and #(1,-12)#?
  
• 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?
  
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