x^2+(2/3)x (1/2)*(2/3)=2/6=1/3 (1/3)^2=1/9 x^2+(2/3)x+(1/9)=(x+[1/3])^2

x^2+(2/3)x (1/2)*(2/3)=2/6=1/3 (1/3)^2=1/9 x^2+(2/3)x+(1/9)=(x+[1/3])^2

is a true statement. (answer)

1 ft=12 in 2 ft=24 in 3 ft=36 in or,... 3*1 ft=3*12 in 3 ft=36 in

Math High School (answer)

2727/27=101 gallons 101*$4.04=$408.04 is the answer now choose from the answers you have the one closest to $408.04

S=small, M=medium, L=large N=no topping, A, B, C, and D are the toppings S with N, S with A, S with B, S with C. S with D, S with A and B, S with A and C, S with A and D, S with B and C, S with B and D, S with C and D, S with A, B, and C, S with A, B, and D, S with B, C, and D, S with C,...

cosθ=-4/5 draw a right triangle in quadrant III cos=adjacent/hypotenuse this is a 3-4-5 right triangle (the second leg is 3) sin=opposite/hypotenuse sinθ=-3/5 csc=1/sin cscθ=-5/3 tan=opposite/adjacent tanθ=3/4 (tan is positive in quadrant III)

Real numbers (answer)

factors of 12 are: 1, ,12 1, 2, ,6, 12 1, 2, 3, ,4,...

the diagonal bisects the two 90º angles you have a 45-45-90 right triangle (an isosceles right triangle) the diagonal is always equal to x√2 where x=the length of a side; in this case x=3 the diagonal=3√2 cm you can verify this using the Pythagorean Theorem d2=32+32 d2=9+9 d2=18 d=√18 d=√(9*2) d=√9*√2 d=3√2...

distance=rate*time d=rt 600=rt 200=(r-100)t 600/r=t 200/(r-100)=t equate the two left sides 600/r=200/(r-100) cross multiply 600(r-100)=200r 600r-60,000=200r 600r-200r=60,000 400r=60,000 r=60,000/400 r=150 mph for the plane (answer) r-100=150-100=50...

assuming sin2tcost-cos2tsint=0 factor sintcost(sint-cost)=0 sintcost=0 or sint-cost=0 sintcost=0 means sint=0 or cost=0 sint=0 when t=0º or t=180º (look on the unit circle) cost=0 when t=90º or t=270º (look on the unit circle) sint-cost=0 sint=cost t=45º or t=225º...

y=–x+28 intersects y=x+10 at (answer)

y=-x+28 y=x+10 add 2y=38 y=38/2 y=19 substitute 19=x+10 x=19-10 x=9 (9,19) is the answer

use the combination formula n!/r!(n-r)! 20!/3!(20-3)! 20!/3!17! (20*19*18)/(3*2) (20*19*18)/6 20*19*3 20*57 1140 combinations

the sequence is 6, 2, 2/3, 2/9, 2/27 6+2+2/3+2/9+2/27= 6+2+18/27+6/27+2/27= 8 26/27 (8 and 26/27) or,... S=a([rn-1]/[r-1]) S=6([1/3]5-1)/([1/3]-1) S=6([1/243]-1)/(-2/3) S=6(-242/243)/(-2/3) S=6(-242/243)(-3/2) simplify...

V=(1/3)∏r2h for a cone V=(1/3)(3.14159)(62)(10) V=(1/3)(3.14159)(36)(10) V=(1/3)(3.14159)(360) V=(120)(3.14159) (1/3)*360=120 V=376.99 cubic units V=lwh for a rectangular prism 376.99=8*9*h 376.99=72*h h=376.99/72 h=5...

there will be 25 rows the first row will have 26 jugs the second row will have 25 jugs the third row will have 24 jugs and so on until you have the 25th row with only 2 jugs 2+3+4+5+...+23+24+25+26=350 S(25)=(25/2)(2*2+[25-1][1]) S...

let x and x+2 be the numbers x+x+2=100 2x+2=100 2x=100-2 2x=98 x=98/2 x=49 x+2=51 if you don't know algebra, do it this way... 100/2=50 50-1=49 and 50+1=51

22%*75=0.22*75=16.5 ml of acid 88%*150=0.88*150=132 ml of acid 132+16.5=148.5 ml of acid in the mixture 75+150=225 ml altogether of solution 148.5 ml of the 225 ml solution is acid 148.5/225=1485/2250=297/450=33/50=66/100=66% is acid

What is the speed of the current? (answer)

(46-c)(53/60)=(46+c)(39/60) where c=speed of the current (2438/60)-(53c/60)=(1794/60)+(39c/60) (2438/60)-(1794/60)=(53c/60)+(39c/60) 644/60=92c/60 since the denominators are equal, you can equate the numerators 92c=644 c=644/92 c=7 mph for the speed of the...

your final exam is worth 5% your 75 that you have now is worth 95% 95%*75=71.25 even if you don't take your final you will get a 71.25 if you got a 50 on your final you would have 95%*75+5%*50 which equals 71.25+2.5=73.75 if you got a 60, you would have 71.25+5%*60=71...

draw the heptagon draw one of the seven triangles from the center of the circle draw the height, h the angle at the apex, at the center of the circle, is bisected by the height call this angle θ now take the cos of the angle and the sin of the angle cos θ=h/x...

200=rt 300=(r+20)t 200/r=t 300=(r+20)((200/r) 300r=(r+20)(200) 300r=200r+4000 300r-200r=4000 100r=4000 r=4000/100 r=40 km/hr for the train (answer) r+20=40+20=60 km/hr for the car (answer) 300/60=200/40=5 hours for the time