Answers edited by Dean R.

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• Someone explain?
  
• Find the equation of the tangent to the curve y= 2-√x perpendicular to the straight line y+4x-4=0 ?
  
• If ABC is a triangle with sides a, b , c and opposite angles alpha, beta and gamma. If alpha=3*beta, prove that (a-b)^2*(a+b)=b*c^2?
  
• A line segment has endpoints at #(a, b)# and #(c, d )#. The line segment is dilated by a factor of #r# around #(p,q )#. What are the new endpoints and length of the line segment?
  
• What is the distance from the origin to the point on the line #y=-2x+5# that is closest to the origin?
  
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(1 ,4 )# to #(5 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner?
  
• How do you simplify #root3(1)#?
  
• A triangle has corners A, B, and C located at #(3 ,5 )#, #(2 ,9 )#, and #(4 , 8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
  
• Use DeMoivre's Theorem to find the twelfth (12th) power of the complex number, and write result in standard form?
  
• Each rectangle is 6cm long and 3cm wide, they share a common diagonal of PQ. How do you show that #tanalpha = 3/4#?
  
• How to verify Cos2x/(1+sin2x)=tan(pi/4-x)?
  
• A triangle has corners at #(4 , 1 )#, ( 2, 4 )#, and #( 0, 2 )#. What are the endpoints of the triangle's perpendicular bisectors?
  
• If A+B+C=90° then prove that #sin^2 (A/2)+sin^2 (B/2) + sin^2 (C/2) = 1-2sinA.sinB.sinC# ?
  
• How do you combine like terms in #3\log x + \log _ { 4} - \log x - \log 6#?
  
• Tan3x=3Tanx-Tan^3x by 1-3tan^2x Prove it?
  
• How do I simplify sin(arccos(sqrt(2)/2)-arcsin(2x))?
  
• Barfield is 7km north and 8km east of Westgate. The bearing to get from Westgate to Barfield is 041.2, and Lauren sails at a bearing of 043. She stops when she is due North of Barfield. How far away is she from Barfield?
  
• Let sin(4x-1=cos(2x+7) write and solve an equation to the value of x?
  
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(2 ,9 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?
  
• How do you simplify #(2a^2b^-7c^10)/(6a^-5b^2c^-3)#?
  
• How to find h in terms of x?
  
• If the angle #10# is in standard position, which quadrant does it terminate?
  
• A triangle has corners at #(2 , 5 )#, ( 1, 3 )#, and #( 8, 1 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
  
• How do you simplify #5sqrt(25t^2)#?
  
• How do you find the quotient of #(x^3+3x^2-3x-2)div(x-1)# using long division?
  
• Simplify completely: #1 - 2sin​^2 20°#​ ?
  
• How do you find the amplitude, period, phase shift given #y=2csc(2x-1)#?
  
• Solve the eqn 25 cos x = 16 sin x tan x for 0 < or = x < or = 360. Could anyone help me on this?
  
• How long is the third side of a right-angled triangle, if the hypotenuse is #13#cm and the shortest side is #5#cm?
  
• A triangle has corners at #(7 ,2 )#, #(6 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin?
  
• How do you solve the triangle if C=36 degrees, B=24, and a=9 cm?
  
• How do I solve 2sinx = cos (x/3)?
  
• Given #costheta=24/25# and #270<theta<360#, how do you find #cos(theta/2)#?
  
• Sin theta /x = cos theta /y then sin theta - cos theta=?
  
• Please help!!! this is a multiple choice. determine the minimum value of the function f(x)=e^(-x)-2e^x on the interval -1≤x≤2.?
  
• How do you find the axis of symmetry and vertex point of the function: #y=2x^2 + 1#?
  
• Prove #(sin x - csc x)^2 = sin^2x + cot^2x - 1.# Can anyone help me on this?
  
• Please help me in this writing ???
  
• Quadratics question?
  
• Triangle A has an area of #15 # and two sides of lengths #4 # and #9 #. Triangle B is similar to triangle A and has a side of length #7 #. What are the maximum and minimum possible areas of triangle B?
  
• 1+tanA/sinA+1+cotA/cosA=2(secA+cosecA)?
  
• How to solve 3sin2x+2cos2x=3? Is it possible to convert it to sinx=k?
  
• A triangle has corners at #(5 , 5 )#, #(9 ,4 )#, and #(1 ,8 )#. What is the radius of the triangle's inscribed circle?
  
• How do you solve cos2θ+3cosθ+2=0 ?
  
• If #a^3+b^3=8# and #a^2+b^2=4# what is the value of #(a+b)#?
  
• How do you find the exact value of #cos 36^@# using the sum and difference, double angle or half angle formulas?
  
• How do you simplify 2cos^2(4θ)-1 using a double-angle formula?
  
• What is the distance between #(-4,-2,12)# and #(-4,3,-12)#?
  
• How to solve 2×exp(x)+2x-7=0 ?
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 8, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (pi)24#. What is the area of the triangle?
  
• If the diameter of a circle is #1.3*10^-12# meters, then what is its radius?
  
• How do you divide #(9i-5) / (-2i+6)# in trigonometric form?
  
• Sin^4x -cos^4x= cos3x Could you solve this?
  
• How do you solve #\frac{3}{2x-4}-\frac{2}{x^{2}-x-2}=\frac{9}{x+1}#?
  
• Can we write bar35 or (353535.....) In form of p/q where q is not equal to 0 ? Thanks
  
• How do you rationalize the denominator and simplify #3/(sqrt5+sqrt6)#?
  
• Solve the triangle? when A = 24.3 B = 14.7 C = 18.7
  
• How do you find the exact value of #cos58# using the sum and difference, double angle or half angle formulas?
  
• How do you find the area of a triangle given two sides?
  
• What is the vertex of #y = 2x^2 + 8x +5#?
  
• What is #cos[sin^(-1)(-1/2 ) + cos^(-1)(5/13) ]#?
  
• How do you solve: sin2θ + cosθ = 0 between 0 and 2pi?
  
• What is the centroid of a triangle with vertices at #(a, b)#, #(c, d)#, and #(e, f)#?
  
• A line segment has endpoints at #(9 ,3 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,6 )#. What are the new endpoints and length of the line segment?
  
• How many teams can you make from 131 people if there are 7 people in a team?
  
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