you can use the quadratic formula (-p±√(p2-4q))/2 (-p+√(p2-4q))/2 and (-p-√(p2-4q))/2 square both roots to get... (p2-2p√(p2-4q)+p2-4q)/4 (p2+2p√(p2-4q)+p2-4q)/4 add them together and the radicals will cancel and you get... (4p2-8q)/4=p2-2q

you can use the quadratic formula (-p±√(p2-4q))/2 (-p+√(p2-4q))/2 and (-p-√(p2-4q))/2 square both roots to get... (p2-2p√(p2-4q)+p2-4q)/4 (p2+2p√(p2-4q)+p2-4q)/4 add them together and the radicals will cancel and you get... (4p2-8q)/4=p2-2q

1)call the third side "x" the equal sides are "x+5" and "x+5" x+(x+5)+(x+5)=31 3x+10=31 3x=21 x=7cm x+5=12cm x+5=12cm 2)call the third angle "x" the equal angles are "x-30"...

the general formula for the radius, if you know the measures of all three sides a, b, and c is the following abc/√((a+b+c)(b+c-a)(c+a-b)(a+b-c)) if the sides a, b, and c are all equal as in an equilateral triangle the formula becomes... a3/√(3a*a*a*a)= a3/√(3a4)= a3/a2√3= a/√3...

the cube is 5 by 5 by 5 because (125)^(1/3)=5 the diameter of the sphere is 5m the radius of the sphere is 2.5m (5/2=2.5) surface area of a sphere: A=4∏r2 A=4*3.14159*2.52 A=4*3.14159*6.25 A=3.14159*25 A=78.53975m2

A={b,c} subsets: {b}, {c}, {b,c}, Ø (4 subsets; every set is a subset of itself) the number of subsets is always 2^n where n=#of elements in the set therefore, 2^2=4

2sin^2(0)=sin(0)+1 (answer)

let x=θ 2sin^2x=sinx+1 2sin^2x-sinx-1=0 factor (2sinx+1)(sinx-1)=0 2sinx+1=0 2sinx=-1 sinx=-1/2 look on the unit circle sin is -1/2 when x=7∏/6 or 210º (+∏k where k=0,±1,±2,...) sinx-1=0 sinx=1 sin is 1 when x=∏/2 or 90º (+∏k where...

the shortest distance is a perpendicular distance to the z-axis the point on the z-axis where the perpendicular intercepts it is (0,0,z) find the distance between the points (x,y,z) and (0,0,z) (the z values must be the same in order for the line to be perpendicular) √([x-0]^2...

What do you want to do, factor the expression ? There is no equation to solve. [(a+b]+c)([a+b]-c) (a+b+c)(a+b-c) is the factored form

What is my final grade (answer)

95%*88%=0.95*88=83.6 5%*100%=0.05*100=5 83.6+5=88.6% is your grade look at it this way also... there are 19 5%'s in 95%, so you have 19 88's you also have 1 5% worth 100%, so you have 1 100 19*88=1672 1*100=100 1672+100=1772 1772/20=88.6%

81 multiply 99 (answer)

First memorize your multiplication tables up to 10 at least. 81*99 81*100=8100 (there is one group of 81 too many) 8100-81=8019 (subtract this extra group of 81)

x=smallest side 4x=hypotenuse 4√15=third side use the Pythagorean Theorem (4x)^2=x^2+(4√15)^2 16x^2=x^2+240 16x^2-x^2=240 15x^2=240 x^2=240/15 x^2=16 x=√16 x=4 cm is the smallest side the hypotenuse is 16 cm the third side is 4√15 cm

x is the number x^2+x=182 x^2+x-182=0 182=2*7*13=(2*7)*13=14*13 and 14-13=1, the coefficient of the middle term factor (x+14)(x-13)=0 x+14=0 x=-14 and (-14)^2=196 and 196+(-14)=182 x-13=0 x=13 and (13)^2=169 and 169+13=182 there...

a number divided by -9 is -16 (answer)

n/(-9)=-16 multiply both sides by -9 (-9)(n/(-9))=(-9)(-16) one operation undoes the other so the left side becomes "n" (multiplication undoes division) n=144

What is the next number? (answer)

3 4 6 9 13 18 24 add 1 to 3 to get 4 add 2 to 4 to get 6 add 3 to 6 to get 9 add 4 to 9 to get 13 add 5 to 13 to get 18 add 6 to 18 to get 24 add 7 to 24 to get 31 answer 3 6 4 8 6 ...

assuming you mean whole numbers... the maximum area of a rectangle occurs when the rectangle is a square using the same reasoning, the maximum value occurs when the two numbers are equal but 59 is an odd number so use the numbers 29 and 30 (59/2=29.5, 29.5-0.5=29 and 29.5+0.5=30) 29*30=870 1*58=58 2*57=114 3*56=168 4*55=220...

he perimeter of a rectangle is 18 inches and its area is 20 square inches. What are its dimensions? (answer)

P=2l+2w A=lw 18=2l+2w 9=l+w l=9-w A=(9-w)w 20=9w-w^2 w^2-9w+20=0 factor (w-5)(w-4)=0 w-5=0 w=5 inches w-4=0 w=4 inches the rectangle is a 4 x 5 rectangle the simplest thing to do is factor 20 20=2*2*5=4*5 and 4+5=9...

let θ=x sin(2x)=0 in the interval [0,2∏) look on the unit circle sin is 0 at 0º 2x=0º x=0º sin is 0 at 180º 2x=180º x=90º x=180º because 2*180=360 which brings you back to 0º 2x=180+2∏k for k=0,-1,1,-2,2,... x=90+∏k for... x=90+180=270º x=0º,...

a hemisphere is half of a sphere find the volume of the cone and then find the volume of the sphere and take half of the volume of the sphere volume of the cone V=(1/3)∏r2h the height of the cone is only 10-4=6 cm V=(1/3)(3.14159)(42)(6) V=(1/3)(3.14159)(16)(6) V=(1/3(3...

4,3,6,8,1 8+6+1-4-3= 14+1-4-3= 15-4-3= 11-3= 8 (8*6)/4-3-1= 48/4-3-1= 12-3-1= 9-1 8 (8*3)/6+4*1= 24/6+4*1= 4+4= 8

word problem (answer)

4x+6y=92 x+y=20 x=20-y 4(20-y)+6y=92 80-4y+6y=92 80+2y=92 2y=92-80 2y=12 y=6 6-cylider engines x=20-6=14 4-cylinder engines