Wednesday
July 23, 2014

Posts by Bosnian


Total # Posts: 1,678

math-algebra
64 = 4 ^ 3 64 x ^ 3 = ( 4 x ) ^ 3 27 = 3 ^ 3 64 x ^ 3 - 27 = ( 4 x ) ^ 3 - 3 ^ 3 a ^ 3 - b ^ 3 = ( a - b ) ( a ^ 2 + a b + b ^ 2 ) In this case: 64 x ^ 3 - 27 = ( 4 x ) ^ 3 - 3 ^ 3 = ( 4 x - 3 ) * [ ( 4 x ) ^ 2 + 4 x * 3 + 3 ^ 2 ] = ( 4 x - 3 ) * ( 16 x ^ 2 + 12 x + 9 )

algr.1
If your expression mean : ( 1 / 4 ) n + 12 > ( 3 / 4 ) n - 4 then: ( 1 / 4 ) n + 12 > ( 3 / 4 ) n - 4 Multiply both sides by 4 4 * ( 1 / 4 ) n + 4 * 12 > 4 * ( 3 / 4 ) n - 4 * 4 n + 48 > 3 n - 16 Substrac n to both sides n + 48 - n > 3 n - 16 - n 48 > 2 n - 1...

math
302.50 / 5 = 60.5

algebra
One correction in second line . P > 134 ft

algebra
W = 29 ft P = 134 ft P = 2 L + 2 W = 2 ( L + W ) P > 134 ft 2 ( L + 29 ) > 134 2 L + 58 > 134 Substract 58 to both sides 2 L + 58 - 58 > 134 - 58 2 L > 76 Divide both sides by 2 L > 38 ft

Math- URGENT PLEASE
9.3 * 10 ^ 3 = 9.3 * 1,000 = 9,300 9.3 * 10 ^ 4 = 9.3 * 10,000 = 93,000 0.011 * 10 ^ 6 = 0.011 * 1,000,000 = 11,000 9.3 * 10 ^ 3 + 9.3 * 10 ^ 4 + 0.011 * 10 ^ 6 = 9,300 + 93,000 + 11,000 = 113,300 = 1.133 * 10 ^ 5

Trigonometry
First answer is wrong.

Trigonometry
•Trigonometry - Bosnian, Sunday, September 9, 2012 at 1:07am Area of right triangle = 1 / 2 Area of a rectangle In this case: A1 = ( 1 / 2 ) * 8 * 15 = 60 units When each side is doubled: A2 = ( 1 / 2 ) * 2 * 8 * 2 * 15 = 4 * ( 1 / 2 ) * 8 * 15 = 4 A1 A2 = 4 * 60 = 240 un...

Trigonometry
Area of right triangle = 1 / 2 Area of a rectangle In this case: A1 = ( 1 / 2 ) * 8 * 15 = 20 units When each side is doubled: A2 = ( 1 / 2 ) * 2 * 8 * 2 * 15 = 4 * ( 1 / 2 ) * 8 * 15 = 4 A1 A2 = 4 * 20 = 80 units

Trigonometry
sin theta = H / L = H / 5 H = 5 * sin theta = 5 * sin 50 ° 32 ´ H = 5 * 0.77199 H = 3.85995 m approx. H = 3.86 m

Trigonometry
The rule of Pythagoras: c ^ 2 = a ^ 12 + b ^ 2 In this case : c = 34 cm b = a + 14 c = a ^ 2 + ( a + 14 ) ^ 2 34 ^ 2 = a ^ 2 + ( a + 14 ) ^ 2 1156 = a ^ 2 + a ^ 2 + 2 * a * 14 + 14 ^ 2 1156 = 2 a ^ 2 + 28 a + 196 Subtract 196 to both sides 1156 - 196 = 2 a ^ 2 + 28 a + 196 - 1...

Precalculus
an = n ^ 2 + 1 n = 1 a1 = 1 ^ 2 + 1 = 1 + 1 = 2 n = 2 a2 = 2 ^ 2 + 1 = 4 + 1 = 5 n = 3 a3 = 3 ^ 2 + 1 = 9 + 1 = 10 n = 4 a4 = 4 ^ 2 + 1 = 16 + 1 = 17

Cal-Help Please
When x = 9 9 x − x ^ 2 = 9 * 9 - 9 ^ 2 = 81 - 81 = 0 and 3 - sqt( x ) / ( 9 x − x ^ 2 ) = 3 - sqt( 9 ) / ( 9 x − x ^ 2 ) = 3 - 3 / 0 = 3 - ( + OR - infinity ) So: limit 3 − square root( x ) /(9 x − x ^ 2 ) as x ->9 = + OR - infinity

geometry
Two Angles are complementary if they add up to 90 ° (a Right Angle). Or : A + B = 90 ° In this case : A = 16 z - 9 ° B = 4 z + 3 ° A + B = 90 ° 16 z - 9 ° + 4 z + 3 ° = 90 ° 20 z - 6 ° = 90 ° Add 6 ° to both sides 20 z - 6 ° + 6 ...

geometry
Two Angles are complementary if they add up to 90 ° (a Right Angle). Or : A + B = 90 ° In this case : A = 16 z - 9 ° B = 4 z + 3 ° A + B = 90 ° 16 z - 9 ° + 4 z + 3 ° = 90 ° 20 z - 6 ° = 90 ° Add 6 ° to both sides 20 z - 6 ° + 6 ...

Math
3 x + 2 y = 3 subtract 3 x to both sides 3 x - 3 x + 2 y = 3 - 3 x 2 y = 3 - 3 x Divide both sides by 2 y = 3 / 2 - 3 x / 2 2 x + 10 y = - 5 Subtract 2 x to both sides 2 x - 2 x + 10 y = - 5 - 2 x 10 y = - 5 - 2 x Divide both sides by 10 y = - 5 / 10 - 2 x / 10 y = y 3 / 2 - 3...

Algebra....HELP!!
7 a + 6 b = 3 + -7 a + b = 25 ________________ 7 a + ( - 7 a ) + 6 b + b = 3 + 25 7 b = 28 Divide both sides by 7 7 b / 7 = 28 / 7 b = 4 7 a + 6 b = 3 7 a + 6 * 4 = 3 7 a + 24 = 3 Subtract 24 to both sides 7 a + 24 - 24 = 3 - 24 7 a = - 21 Divide both sides by 7 7 a / 7 = - 2...

Math
If your expresion mean : ( - 4 ) * ( - x ) ^ 3 * x * ( - 1 / 8 ) then : ( - 4 ) * ( - x ) ^ 3 * x * ( - 1 / 8 ) = - 4 * ( - 1 / 8 ) * ( - x ^ 4 ) = ( 1 / 2 ) * ( - x ^ 4 ) = - x ^ 4 / 2

math
If your expression mean : [ ( 2 ^ 5 - 5 ) / 9 ] * 11 then : 2 ^ 5 = 2 * 2 * 2 * 2 * 2 = 32 2 ^ 5 - 5 = 32 - 5 = 27 ( 2 ^ 5 - 5 ) / 9 = 27 / 9 = 3 [ ( 2 ^ 5 - 5 ) / 9 ] * 11 = 3 * 11 = 33

calculus
5 = 1 + 4 6 = 2 + 4 7 = 3 + 4 ... 14 = 10 + 4 5 ^ 2 + 6 ^ 2 + 7 ^ 2 + ... + 14 ^ 2 = ( 1 + 4 ) ^ 2 + ( 2 + 4 ) ^ 2 + ( 3 + 4 ) ^ 2 + ... + ( 10 + 4 )^ 2 = E ( k + 4 ) ^ 2 from n = 1 to n = 10 ________________________________________ ( k + 4 ) ^ 2 = k ^ + 2 * k * 4 + 4 ^ 2 = k ...

Math
x ^ 2 + y ^ 2 + 6 x - 46 = 0 x ^ 2 + y ^ 2 + 6 x = 46 ( x ^ 2 + 6 x + 9 ) + y ^ 2 = 46 + 9 ( x + 3 ) ^ 2 + y ^ 2 = 55 The circle equation is: (x - a ) ^ 2 + ( y - b ) ^ 2 = r ^ 2 where a and b are the x and y coordinates of the center of the circle. In this case : a = - 3 beco...

math
60

calculus
Where is your graph?

math
If log 7 mean logarithm to base b = 7 then : log 7 ( x ) = log 7 ( 4 ) + log 7 ( 3 ) log ( a ) + log ( b ) = log ( a * b ) log 7 ( 4 ) + log 7 ( 3 ) = log 7 ( 4 * 3 ) = log 7 ( 12 ) log 7 ( x ) = log 7 ( 12 ) x = 12

Math
A = sqrt [ s * ( s - a ) * ( s - b ) * ( s - c ) ]

Math
The semiperimeter of a triangle is half its perimeter. The formula for the semiperimeter of a triangle with side lengths a, b, and c is: s = ( a + b + c ) / 2 The area of a triangle can also be calculated from its semiperimeter using Heron's formula: A = [ sqrt s * ( s - a...

Pre-algebra
2 + 0.35 * 12 = 2 + 4.2 = 6.2

MATH
16 - 30 / ( 10 + 5 ) = 16 - 30 / 15 = 16 - 2 = 14

geometry
180 ° - x = 3 * ( 90 ° - x ) - 60 ° 180 ° - x = 270 ° - 3 x - 60 ° 180 ° - x = 210 ° - 3 x - x + 3 x = 210 ° - 180 ° 2 x = 30 ° Divide both sides by 2 x = 15 °

math
16 ^ 2 = 256 25 / 5 = 5 If 6(3)4 mean 6 * 3 * 4 then . 16^2-25/5+6(3)4= 256 - 5 + 72 = 323

math
Go on: wolframalpha dot com When page be open in rectangle type: derivative ln(cos(0.5)+(sin(x^2+3))^1/3) and click option = After few seconds when you see result click option: Show steps On wolfram alpha dot com you can practice any kind of calculus. That is good just for pra...

Algebra
When p = 0 1 / p -> Infinity One solution also p < 0 becouse when p < 0 then 1 / 6 p are negative and 1 / 6 p + 14 < 20 So the exact solutions are : p < 0 and p > 1 / 36

Algebra
1 / ( 6 p ) + 14 < 20 Subtract 14 to both sides 1 / ( 6 p ) + 14 - 14 < 20 - 14 1 / ( 6 p ) < 6 Multiply both sides by 6p 6 p * 1 / ( 6 p ) < 6 p * 6 1 < 36 p Divide both sides by 36 1 /36 < 36 p / 36 1 / 36 < p that is equivalent of p > 1 / 36

math
P = 2 a + 2 b In your case : a = x , b = 2 x + 3 P = 2 a + 2 b = 72 P = 2 x + 2 * ( 2 x + 3 ) = 72 2 x + 4 x + 6 = 72 6x + 6 = 72 Subtract 6 to both sides 6 x + 6 - 6 = 72 - 6 6 x = 66 Divide both sides by 6 x =11 x = a = 11 cm b = 2 x + 3 b = 2 * 11 + 3 = 22 + 3 = 25 cm P = 2...

Algebra
1 p = p 1 p + 14 < 20 p + 14 < 20 Subtracrt 14 to both sides p + 14 - 14 < 20 - 14 p < 6

math
n = your number a = ones digit b = tenths digin c = hundreds digit d = thousands digit n = a + b / 10 + c / 100 + d / 1000 c = d + 3 b = c - 2 = d + 3 - 2 = d + 1 a = b + c = d + 1 + d + 3 = 2 d + 4 n = a + b / 10 + c / 100 + d / 1000 n = 2 d + 4 + ( d + 1 ) / 10 + ( d + 3 ) /...

Algebra
h = the height of the flagpole s = the height of the school h = ( 3 / 4 ) s s - h = 4.5 m s - ( 3 / 4 ) s = 4.5 ( 1 / 4 ) s = 4.5 Multiply both sides by 4 s = 18 The height of the school = 18 m

math
Take number 12 and subtract summ of first numbers 2 * 6 = 4 become 12 - ( 2 + 6 ) = 12 - 8 = 4 4 * 1 = 7 become 12 - ( 4 + 1 ) = 12 - 5 = 7 8 * 3 = 1 become 12 - ( 8 + 3 ) = 12 - 11 = 1 So 5 * 5 = x become 12 - ( 5 + 5 ) = 12 - 10 = 2 x = 2 5 * 5 = 2

Math
x = first number y = second number x - y = 16 that is equivalent of y = x - 16 x ^ 2 + y ^ 2 = x ^ 2 + ( x - 16 ) ^ 2 = x ^ 2 + x ^ 2 - 2 * x * 16 + 16 ^ 2 = 2 x ^ 2 - 32 x + 256 Quadratic equation a x ^ 2 + b x + c vhen a is positive in point : x = - b / 2 a have MINIMUM x = ...

Algebra
1.5 * 17.5 = 26.25 miles

Algebra2
1. Eliminate the absoulute value : x ^ 2 - 3 x + 3 = 3 x ^ 2 - 3 x + 3 = - 3 ______________________ x ^ 2 - 3 x + 3 = 3 Subtract 3 to both sides x ^ 2 - 3 x + 3 - 3 = 3 - 3 x ^ 2 - 3 x = 0 x ( x - 3 ) = 0 Solutions : x = 0 and x = 3 x ^ 2 - 3 x + 3 = - 3 Add 3 to both sides x ...

Algebra2
1. Eliminate the absoulute value : 7 x + 2 = 10 7 x + 2 = - 10 _________________ 7 x + 2 = 10 7 x = 10 - 2 = 8 x = 8 / 7 7 x + 2 = - 10 7 x = - 10 - 2 = - 12 x = - 12 / 7 Solutions x = 8 / 7 aprox. 1.14 and x = - 12 / 7 aprox. - 1.71 2.Eliminate the absoulute value : Absolute ...

algebra 2
x + y = 2 Multiply both sides by 2 2 x + 2 y = 4 2 y = 4 - 2 x 3 x + 2 y = 9 3 x + 4 - 2 x = 9 x + 4 = 9 x = 9 - 4 = 5 x + y = 2 5 + y = 2 y = 2 - 5 = - 3

math
á = Greek letter alpha â = Greek letter beta

math
One of the most important properties of a straight line is in how it angles away from the horizontal. This concept is reflected in something called the "slope" of the line For straight lines, slope is constant (always the same). You can graph the points and "cou...

math
d = your digit d = 100 x + 10 y + z my hundreds digit is three more than my ones x = z + 3 that is equivalent with : z = x - 3 my tens digit is oneless than my hundreds y = x - 1 d = 100 x + 10 y + z d = 100 * x + 10 * ( x - 1 ) + x - 3 d = 100 x + 10 x - 10 + x - 3 = 111 x - ...

Algebra
If your expression mean : f ( x ) = 7 / ( x - 1 ) then : x = 0 f ( 0 ) = 7 / ( 0 - 1 ) = 7 / - 1 = - 7 x = 1 f ( 1 ) = 7 / 1 - 1 ) = 7 / 0 = infinity x = 2 f ( 2 ) = 7 / ( 2 - 1 ) = 7 / 1 = 7 x = 3 f ( 3 ) = 7 / ( 3 - 1 ) = 7 / 2 = 3.5 x = 4 f ( 4 ) = 7 / ( 4 - 1 ) = 7 / 3 = 2...

Math
Arithmetic mean : ( p1 + p2 + p3 + p4 + p5 ) / 5 = 21 Multiply both sides by 5 p1 + p2 + p3 + p4 + p5 = 21 * 5 = 105 p1 + p2 + p3 + p4 + p5 = Total points of team Total points of team = 105 If 4 other players obtained 1 point greatest score of one player could be : 105 - 4 = 101

algebra 1
3 ( 5 y - 5 x ) = 45 3 * 5 * ( y - x ) = 3 * 3 * 5 15 ( y - x ) = 3 * 15 Divide both sides by 15 y - x = 3 Add x to both sides y - x + x = 3 + x y = x + 3 If you must solve y = 0 0 = x + 3 Subtrac 3 to both sides 0 - 3 = x + 3 - 3 - 3 = x x = - 3 OR 3 ( 5 y - 5 x ) = 45 Divide...

Algebra 1
P = Perimeter W = Width L = Length P = 2 W + 2 L 36 = 2 * 4 + 2 L 36 = 8 + 2 L Subtract 8 to both sides 36 - 8 = 8 + 2 L - 8 28 = 2 L Divide both sides by 2 28 / 2 = 2 L / 2 14 = L L = 14 in

algebra
Vr = Vm * ( 1 - r ^ 2 / R ^ 2 ) Vr = ( 1 / 4 ) Vm ( 1 - r ^ 2 / R ^ 2 ) = 1 / 4 Multiply both sides by 4 4 * ( 1 - r ^ 2 / R ^ 2 )= 1 4 - 4 * r ^ 2 / R ^ 2 = 1 Subtract 4 to both sides 4 - 4 * r ^ 2 / R ^ 2 - 4 = 1 - 4 - 4 * r ^ 2 / R ^ 2 = - 3 Multiply both sides by - 1 4 * r...

trig
start-> programs-> Accessories-> Calculator-> View-> Scintific 17 sin

math
10 ^ 6 = 10 * 10 * 10 * 10 * 10 * 10 = 1 000 000 = one milion 4.97 * 10 ^ 6 = 4 970 000

Algebra
1,760 / 0.04 = 44,000 $

Algebra 1
d = r t 48 = r * 16 Divide both sides by 16 48 / 16 = r * 16 / 16 3 = r r = 3

Algebra
- 2 ( t - 7 ) - ( t + 8 ) = 8 - 2 * t - 2 * ( - 7 ) - t - 8 = 8 - 2 t + 14 - t - 8 = 8 - 3 t + 6 = 8 Subtrac 6 to both sides - 3 t + 6 - 6 = 8 - 6 - 3 t = 2 divide both sides by - 3 t = - 2 / 3

algebra
a + 7b = 17 - a + 2b = 2 __________ ( a - a ) + ( 7b - 2b ) = 17 - 2 5b = 15 Divide both sides by 5 b = 15 / 5 = 3 a + 7b = 17 a + 7 * 3 = 17 a + 21 = 17 Subtract 21 to both sides a + 21 - 21 = 17 - 21 a = - 4

mathematics
In point where firs derivative = 0 function have loca minimum or maximum. If second derivative < 0 that is local maxsimum. If second derivative > 0 that is local minimum. If expression 3cos2x mean : 3 cos (2 x ) then first derivative = - 6 sin ( 2 x ) - 6 sin( 2 x ) = 0 ...

math
x + 3 y = 7 Subtract 3 y to both sides x + 3 y - 3 y = 7 - 3 y x = 7 - 3 y Put x = 7 - 3 y into equation x + 4 y = 12 7 - 3 y + 4 y = 12 7 + y = 12 Subtract 7 to both sides 7 + y - 7 = 12 - 7 y = 5 Replacing y = 5 into x = 7 - 3 y gives x = 7 - 3 * 5 x = 7 - 15 x = - 8

math
Set of known values: x = 1 , y = 280 x = 2 , y = 480 x = 3 , y = 684 x = 4 , y = 913 x = 5 , y = 1205 x = 6 , y = 1615 The interpolating polynomial is : y = ( 17 x ^ 4 - 86 x ^ 3 + 139 x ^ 2 + 4730 x + 1920 ) / 24 For x = 7 , y = 2215 Next term : 2215

Algebra
After half hour studen have 9 - 1 = 8 $ x = 8 / 1.25 = 6.4 h A partial hour is charge the same as a full hour so x = 6 h 0.5 + x = 0.5 + 6 = 6.5 h

Mathematics
1 h = 60 min 9 h 07 mim = 8 h + 1 h + 7 min = 8 h + 60 min + 7 min = 8 h 67 min 9 h 7 min - 8 h 55 min = 8 h 67 min - 8 h 55 min = 12 min Distance : 1083 km - 957 km = 126 km The average speed : 1 h = 60 min 12 min = 1 / 5 h 126 / ( 1 / 5 ) = 5 * 126 = 630 km / h

maths
tan theta = H / L tan theta = 4 / 1.8 = 2.222222 theta = 65 ° 46 ´ 20 "

math
4 x + 3 y = 0 16 x + 3 = 8y ______________ Multiply the first equation by 4 16 x + 12 y = 0 16 x + 3 = 8y ______________ Subtract 8 y by second equation 16 x + 12 y = 0 16 x + 3 - 8 y = 8y - 8y = 0 ______________ 16 x + 12 y = 0 16 x + 3 - 8 y = 0 ______________ Subtract 3 by ...

calculus
Go on : wolframalpha dot com Whe page be open in rectangle type : derivative tan^4(2x) then click option = After few seconds when you see result click option : Show steps

Algebra
Remark: ¡Ý mean greater or equal

Algebra
5 ( x + 6 ) = 5 x + 30 12 x - 25 ¡Ý 3 x - 5 ( x + 6 ) 12 x - 25 ¡Ý 3 x - ( 5 / x - 6 ) ) 12 x - 25 3 x - ( 5 x + 30 ) 12 x - 25 ¡Ý 3 x - 5 x - 30 12 x - 25 ¡Ý - 2 x - 30 Add 2 x to both dides 12 x - 25 + 2 x ¡Ý -...

math
12 % = 12 / 100 = 0.12 250 / 0.12 = 250 * 100 / ( 0.12 * 100 ) 25,000 / 12 = 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 / ( 2 * 2 * 3 ) = 2 * 5 * 5 * 5 * 5 * 5 / 3 = 6250/ 3 = 2083.3333...

Math
1 kg = 1000 g 2 kg 300 g = 1 kg + 1 kg + 300 g = 1 kg + 1000 g + 300 g = 1 kg 1300 g 2 kg 300 g - 1 kg 700 g = 1 kg 1300 g - 1 kg 700 g = 600 g The mass of the empty basket = 600 g

Math
L = 2 + 2 W = 2 ( 1 + W ) A = L * W 24 = 2 * ( 1 + W ) * W 24 = 2 * ( W + W ^ 2 ) Divide both sides by 2 12 = W + W ^ 2 Subtract 12 to both sides 0 = W + W ^ 2 - 12 Now you must solwe equation : W ^ 2 + W - 12 = 0 The exact solutions are 3 and - 4 Width cannot be negative so W...

math
The vertex of a parabola: y = a x ^ 2 + b x + c is the point where the parabola crosses its axis. If the coefficient of the x ^ 2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “U”-shape. If the coefficient of the x...

calculus
Go on: wolframalpha dot com When page be open in rectangle type: limit x^3-2/x^2+x as x-> - infinity and click option = After few seconds when you see result click option: Show steps On wolfram alpha dot com you can practice any kind of calculus. That is good just for pract...

calculus
Go on: wolframalpha dot com When page be open in rectangle type: derivative sin(x^3-5x^2+4x-7) and click option = After few seconds when you see result click option: Show steps On wolfram alpha dot com you can practice any kind of calculus. That is good just for practice. You ...

math help
P.S. When you type : derivative (x^2+lnx)(2+e^x) you must click option = in rectangle

math help
Go on : wolframalpha dot com When page be open in rectangle type : derivative (x^2+lnx)(2+e^x) After few seconds when you see results click option : Show steps

math help
What is your question?

math
What is your question?

Geometry
tan ( theta ) = 4 / 3 theta = inverse tangent ( 4 / 3 ) theta = 53 ° 7 ´ 48 " theta = 53 ° to the nearest degree

Math
¡Ý mean greater or equal

Math
- 5 ( 4 x - 14 ) ¡Ý - 25 x + 35 - 20 x + 70 ¡Ý - 25 x + 35 - 20 x + 25 x ¡Ý 35 - 70 5 x ¡Ý - 35 Divide both sides by 5 x ¡Ý - 7 Ansver D

Algebra
The graph of any function in the form y = a x ^ 2 + b x + c is a parabola. A quadratic equationhas two solutions. In this case : x 1 = [ - 3 -s qrt ( 29 ) ] / 10 and x 2 = [ - 3 + sqrt ( 29 ) ] / 10 If coefficient a is positive then the graph of parabola is concave up. If coef...

ALGEBRA
x = - 6 y = ( 4 / 3 ) * ( - 6 ) + 1 = - 24 / 3 + 1 = - 8 + 1 = - 7 x = - 3 y = ( 4 / 3 ) * ( - 3 ) + 1 = - 12 / 3 + 1 = - 4 + 1 = - 3 x = 6 y = ( 4 / 3 ) * 6 + 1 = 24 / 3 + 1 = 8 + 1 = 9 For plot : In google type : point plotter When you see list of result click on: Graph Indi...

ALGEBRA
The x-intercept of a line is the point at which the line crosses the x axis. ( i.e. where the y value equals 0 ) In this case : - 4 x + 9 * 0 = - 36 - 4 x = - 36 Divide both sides by -4 x = - 36 / - 4 = 9 x - intercept point (9,0) The z-intercept of a line is the point at whic...

algebra
L = Length W = Width The perimeter of a rectangle P = 2 L + 2 W In this case W = 2 m P = 34 m 34 = 2 L + 2 * 2 34 = 2 L + 4 Subtract 4 for both sides 34 - 4 = 2 L + 4 - 4 30 = 2 L Divide both sides by 2 15 = L L = 15 m

Calculus
y = sqrt ( 3 x ) = sqrt ( 3 ) * sqrt ( x ) d y / d x =sqrt ( 3 ) * 1 / 2 sqrt ( x ) d y / d x = ( 1 / 2 ) * sqrt ( 3 / x )

Integrated Math 1
If you want to see graph go on: rechneronline.de In blue rectangle type : - x ^ 2 + 25 Set : Range x-axis from - 10 to 10 Range x-axis from - 10 to 40 and click option Draw

Integrated Math 1
Answer A.

Integrated Math 1
The standard equation of a parabola is : y = a x ^ 2 + bx + c The vertex of a parabola is the point where the parabola crosses its axis. If the coefficient of the x ^ 2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “U&#...

math
Rate Sam works : ( 1 job ) / x hrs Rate Denise works : ( 1 job ) / ( x + 2) hrs Rate together : 1 / x + 1 / ( x + 2 ) =

TRIG
cos theta = + OR - 1 / sqrt ( 1 + tan ^ 2 theta ) In Quadrant II, cosine are negative so : cos theta = - 1 / sqrt ( 1 + tan ^ 2 theta ) cos theta = - 1 / sqrt [ 1 + ( 3 / 4 ) ^ 2 theta ] cos theta = - 1 / sqrt ( 1 + 9 / 16 ) cos theta = - 1 / sqrt ( 16 / 16 + 9 / 16 ) cos thet...

algebra
How can a square table have different length and height?

Integrated Math 1
- 1 - 6 x ^ 2 - x ^ 3 - ( - 2 - 4 x ^ 2 ) = - 1 - 6 x ^ 2 - x ^ 3 + 2 + 4 x ^ 2 = - x ^ 3 - 2 x ^ 2 + 1 OR 1 - 2 x ^ 2 - x ^ 3 Answer A.

Integrated Math 1
- 16 x ^ 2 - x ^ 3 - ( - 2 - 4 x ^ 2 ) = - 16 x ^ 2 - x ^ 3 + 2 + 4 x ^ 2 = - x ^ 3 - 12 x ^ 2 + 2

trigonometry
If a central angle theta = 3 pi / 2 then : Circumference of a circle = 2 * r * pi Ful circle have 360 ° = 2 pi radians. Lenght of arc : L = ( theta / 2 pi ) * 2 * r * pi L = theta * r = 60 ( 3 pi / 2 ) * r = 60 Multiply both sides by 2 3 pi * r = 120 Divide both sides by 3...

Math
f = frame = 2.5 cm p = dimension of frame p + f = dimension of one side of square Area of a square painting : A = ( p + f ) ^ 2 = 3600 p + f = sqrt ( 3600 ) p + f = 60 p + 2.5 = 60 p = 60 - 2.5 = 57.5 cm

Integrated math
Definite integral 1 to 3 ( 3 x ^ 2 - 2 x + 1 ) dx = ( x ^ 3 - x ^ 2 + x ) from 1 to 3 = ( 3 ^ 3 - 3 ^ 2 + 3 ) - ( 1 ^ 3 - 1 ^ 2 + 1 ) = 27 - 9 + 3 - ( 1 - 1 + 1 ) = 21 - 1 = 20

math
Domain: The domain of a function is the set of all possible input values which allows the function formula to work.

math
Range: The range is the set of all possible output values , which result from using the function formula. In this case when x = 0 2 / x ^ 2 -> infinity. So domain : ( -infinity , 0 ] U [ 0 , infinity ) Or all value of x different of 0

math
1 h = 60 min 15 min = 1 / 4 h 17 / ( 1 / 4 ) = 4 * 17 = 68 km / h

Trig
sqrt ( 3 ) * csc ( 2 theta ) = - 2 Divide both sides by sqrt ( 3 ) csc ( 2 theta ) = - 2 / sqrt ( 3 ) Take the inverse cosecant of both sides. 2 theta = - pi / 3 and 2 theta = 4 pi / 3 [ Becouse csc ( pi / 3 ) = 2 / sqrt ( 3 ) , and csc ( 4 pi / 3 = 2 / sqrt ( 3 ) ] Divide bot...

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