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A parallelogram has sides with lengths of #16 # and #15 #. If the parallelogram's area is #60 #, what is the length of its longest diagonal?

What is the equation of the tangent line of #f(x)= x^23x+(3x^3)/(x7)# at # x=2#?

The volume inside a rectangular storage room is 2,025 cubic feet. The room is 9 feet high. What is the area of the floor?

What is the axis of symmetry and vertex for the graph #y = x^2 – 8x + 11#?

How to solve the separable differential equation and find the particular solution satisfying the initial condition y(−4)=3 ?

Question #3cbbc

How do you differentiate #e^(10x)#?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/3 #, and the triangle's area is #9 #. What is the area of the triangle's incircle?

Circle A has a center at #(2 ,8 )# and a radius of #4 #. Circle B has a center at #(3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?

Triangle A has sides of lengths #1 3 ,1 4#, and #11 #. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?

How do you graph # r = 4sin(theta)#?

How do you graph #y = abs[x  1] + 4#?

Is #f(x)=(3x^32x^22x+5)/(x+2)# increasing or decreasing at #x=3#?

Circle A has a center at #(5 ,8 )# and an area of #18 pi#. Circle B has a center at #(3 ,1 )# and an area of #27 pi#. Do the circles overlap?

What is the equation of the line normal to #f(x)=x^36x # at #x=2#?

What is the variance of {8, 19, 10, 0, 1, 0}?

How do you evaluate the definite integral #int t sqrt( t^2+1dt)# bounded by #[0,sqrt7]#?

How do you integrate #int 1/sqrt(e^(2x)20e^x101)dx# using trigonometric substitution?

How do you find the exact value of #Arctan(1/2)#?

A triangle has corners at #(6 ,3 )#, #(3 ,2 )#, and #(5 ,4 )#. If the triangle is dilated by a factor of #5 # about point #(2 ,6 ), how far will its centroid move?

Half an avocado has about 160 calories. How many calories do a dozen avocados have?

How do you express #cos(pi/ 3 ) * sin( ( 3 pi) / 8 ) # without using products of trigonometric functions?

A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #7 # and #8 # and the pyramid's height is #5 #. If one of the base's corners has an angle of #pi/4#, what is the pyramid's surface area?

Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #(5pi)/12 #, what is the difference between the areas of the rhombuses?

What is the period of #f(theta) = tan ( ( 15 theta)/7 ) sec ( ( 5 theta)/ 6 ) #?

Circle A has a center at #(5 ,2 )# and a radius of #2 #. Circle B has a center at #(2 ,1 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them?

What is the slope of the line normal to the tangent line of #f(x) = secx+sin(2x(3pi)/8) # at # x= (11pi)/8 #?

How do you find the inverse of #y = 2^x# and is it a function?

What is the equation of the tangent line of #f(x)=cosxe^xsinx # at #x=pi/3#?

Circle A has a center at #(1 ,5 )# and an area of #24 pi#. Circle B has a center at #(8 ,4 )# and an area of #66 pi#. Do the circles overlap?

Circle A has a center at #(9 ,1 )# and a radius of #3 #. Circle B has a center at #(8 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them?

How do you find the asymptotes for #y = (7x5)/(25x)#?

How do you graph # y=1+tan2x#?

How do you find the axis of symmetry, and the maximum or minimum value of the function #f(x)=x^2 2x 15#?

A triangle has corners at #(4 , 5 )#, #(3 ,2 )#, and #(5 ,3 )#. What is the radius of the triangle's inscribed circle?

A triangle has corners at #(6, 5 )#, ( 3, 6)#, and #(8, 1 )#. If the triangle is reflected across the xaxis, what will its new centroid be?

How do you subtract and simplify #2##11/12# # 3/16#?

How do you write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, 1?

Circle A has a center at #(1 ,4 )# and a radius of #3 #. Circle B has a center at #(1 ,1 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

Question #e8044

How do you express #cos theta  cos^2 theta + sec theta # in terms of #sin theta #?

How do you find the asymptotes for #y = x/(x6)#?

How do you implicitly differentiate # xy + 3x + 5x^2 = 4/y^3xy+1#?

How do you identify the oblique asymptote of #f(x) = (2x^2+3x+8)/(x+3)#?

A rectangular piece of fabric measures 38 by 36 inches. A triangular scarf with a height of 23 inches and a base of 30 inches is cut from the fabric. What is the area of the fabric left over?

A cheetah was chasing and antelope which is 700m away. How many minutes will it take the cheetah, which is running at a constant speed of 110km/h to reach the antelope that is running at a constant speed of 75km/h?

What are the mean and standard deviation of a binomial probability distribution with #n=210 # and #p=12/21 #?

What is the cross product of #[3, 2, 5]# and #[1, 2, 2] #?

How do you factor #x^9  x^6  x^3 + 1#?

A road repair crew can usually fix 825 potholes each week. How many potholes can they fix in 6 weeks?

How do you integrate #int (x+5)/((x+3)(x7)(x5)) # using partial fractions?

Is #4x = 6y# a direct variation equation and if so, what is the constant of variation?

How do you integrate #int (4x^2+6x2)/((x1)(x+1)^2)# using partial fractions?

The base of a triangular pyramid is a triangle with corners at #(6 ,2 )#, #(3 ,1 )#, and #(4 ,2 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

A circle has a center that falls on the line #y = 1/8x +4 # and passes through # ( 5 ,8 )# and #(5 ,6 )#. What is the equation of the circle?

Question #a8660

How do you evaluate the definite integral #int((sqrtx + 1)/(4sqrtx))^2 dx # from #[3,9]#?

The halflife of Radium226 is 1590 years. If a sample contains 100 mg, how many mg will remain after 4000 years?

Circle A has a center at #(5 ,4 )# and a radius of #4 #. Circle B has a center at #(6 ,8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?

How do you solve #7y^25y8=0# using the quadratic formula?

How do you find the vertex of #y = 4x^2 + 8x + 7#?

Two corners of an isosceles triangle are at #(6 ,4 )# and #(4 ,1 )#. If the triangle's area is #8 #, what are the lengths of the triangle's sides?

How do you divide # (79i)/(29i) # in trigonometric form?

What is the variance of {15, 9, 3, 8, 0}?

What is the equation of the line normal to # f(x)=cos(5x+pi/4)# at # x=pi/3#?

What is the variance of {51, 3, 9, 15, 3, 9, 20, 1, 5, 3, 2}?

How do you decide whether the relation #x + y = 25# defines a function?

How do you find the area of the rectangle with vertices A(3,0), B(2,1), C(1,2), D(0,3)?

What is the area under the polar curve #f(theta) = thetathetasin((7theta)/8 )cos((5theta)/3+pi/3) # over #[pi/6,(3pi)/2]#?

How do you differentiate #g(x) = (2x^2 + 4x  3) ( 5x^3 + 2x + 2)# using the product rule?

If a projectile is shot at an angle of #(7pi)/12# and at a velocity of #2 m/s#, when will it reach its maximum height?