# Posts by Bosnian

Total # Posts: 2,536

algebra
0.15151515... = 15 / 100 + 15 / 10000 + 15 / 1000000 + 15 / 100000000 + ... = 15 / 100 + 15 / 100 ^ 2 + 15 / 100 ^ 3 + 15 / 100 ^ 4 + ... This is the geometric series : a + a r + a r ^ 2 + a r ^ 3 + a r ^ 4 + ... with a = 15 / 100 and r = 1 / 100 As n goes to infinity the sum ...

Integration need help also
In google type : integration calculator online emathhelp when you see list of results click on : Integral Calculator with Steps - eMathHelp When page be open In rectangle type : sinx^2.xdx then clic button CALCULATE You will se solution step - by -step

Prove that sin(A+B) need help
In google type : Prove that sin(A+B) When you see list of results click on : Proof of the sum and difference formulas. - The Math Page You will see proof.

stats
x1 = 77 x2 = 79 x3 = 95 x4 = 93 averagge of five exam: ( x1 + x2 + x3 + x4 + x5 ) / 5 = 80 ( 77 + 79 + 95 + 93 + x5 ) / 5 = 80 ( 344 + x5 ) / 5 = 80 Multiply both sides by 5 344 + x5 = 80 * 5 344 + x5 = 400 Subtract 344 to both sides x5 = 400 - 344 = 56 Answer: Greater or ...

Math
OR if you write : x = number of pencils y = number of pens then x + 1.5 y = 21 x + y = 18

Math
x = number of pens y = number of pencils She bought a total of 18 items. x + y = 18 Stella spent 21 \$ 1.5\$ * x + 1 \$ * y = 21 & 1.5 x + 1 * y = 21 1.5 x + y = 21 You must solve system : x + y = 18 1.5 x + y = 21 The solutions aree . x = 6 y = 12 Proof : 6 * 1.5 \$ + 12 * 1 \$ = ...

math
68.9 ft rounded to one decimal place

math
1 ft = 12 in 6 ft 4 in = 6 * 12 + 4 = 72 + 4 = 76 in 1 in = 2.54 cm = 2.54 / 100 = 0.0254 m Tall of the basketball player in meters : 76 * 0.0254 = 1.9304 m Tall of the volleyball player in feet : 1.75 / 0.0254 = 68.89763778 ft = 68.9 in rounded to one decimal place

Algebra
Tonys age = x Maris age = y Maria is 5 years younger. y = x - 5

Algebra 2
( x - y ) ^ 2 = x ^ 2 - 2 x y + y ^ 2 ( b - 8 ) ^ 2 = b ^ 2 - 2 b * 8 + 8 ^ 2 = b ^ 2 - 16 b + 64

Algebra 2
Multiply each term in one polynomial by each term in the other polynomial. ( 4 x + 2 y ) ( x - 3 y ) = x * 4 x + x * 2 y - 3 y * 4 x - 3 y * 2 y = 4 x ^ 2 + 2 x y - 12 x y - 6 y ^ 2 = 4 x ^ 2 - 10 x y - 6 y ^ 2

Math
7 pizza’s cut into 8 slices. Total 7 * 8 = 56 slices 56 slices / 14 = 4 slices 4 slices of 8 slices in one pizza = 4 / 8 = 1 / 2 OR 7 pizza per 14 students = 7 / 14 = 1 / 2

math
P = Pramod age S = Sister age Difference of their age now = 15 yr So : P = S - 15 After 5 years Pramod will be 5 years older, and sister will be 5 years older. Ratio of their age will be : ( P + 5 ) / ( S + 5 ) = 1 / 2 P = S - 15 so : ( S - 15 + 5) / ( S + 5 ) = 1 / 2 ( S - 10...

math
35 h * 1 / 5 = 7 h 35 h * 1 / 2 = 17.5 h 35 h * 1 / 7 = 5 h 7 h + 17.5 h + 5 h = 29.5 h The rest of his time = 35 - 29.5 = 5.5 h 5.5 / 35 = 0.15714 = 15 .714 % Approx. 15 %

Pre Algrebra
SORRY MY MISTAKE!!!!!! 1 / 5 ^ - 4 = 1 / ( 1 / 5 ) ^ 4 = 5 ^ 4 = 5 * 5 * 5 * 1 / m * 1 / m * 1 / m * 1 / m + 5 * 5 * 5 * 5 ANSWER A

Pre Algrebra
m ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m 1 / 5 ^ - 4 = 1 / 5 * 1 / 5 * 1 / 5 * 1 5 m ^ - 4 + 1 / 5 ^ - 4 = 1 / m * 1 / m * 1 / m * 1 / m + 1 / 5 * 1 / 5 * 1 / 5 * 1 5 Answer d

Algebra
a = number of adult tickets b = number of children tickets There were 170 tickets sold in 1 day. This mean : a + c = 170 Subtract c to both sides a + c - c = 170 - c a = 170 - c Money made = 1475 \$ 1475 \$ = a * 10 \$ + c * 7 \$ 1475 = 10 a + 7 c 10 a + 7 c = 1475 10 ( 170 - c...

Algebra
z = ( x - 8 ) / ( 2 x ) Multiply both sides by 2 x z * 2 x = x - 8 Subtract x to both sides z * 2 x - x = - 8 x * ( 2 z - 1 = - 8 Divide both sides b 2 z - 1 x = - 8 / ( 2 z - 1 ) By the way : - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z ) So : x = - 8 / ( 2 z - 1 ) = 8 / ( 1 - 2 z )

Math

Intermediate Algebra (math)
( 8 x ^ 2 y ^ 2 + 4 x y ^ 2 - 12 y ^ 2 ) / ( 4 x y ^ 2 ) = 4 y ^ 2 ( 2 x ^ 2 + x - 3 ) / ( 4 x y ^ 2 ) = ( 2 x ^ 2 + x - 3 ) / x

algebra
( 5 t - 6 c + 4 )+(- 8 t + 9 c ) = 5 t - 6 c + 4 - 8 t + 9 c = 5 t - 8 t - 6 c + 9 c + 4 = - 3 t + 3 c + 4 = 3 c - 3 t + 4 = 3 ( c - t ) + 4

Maths
R = Roberts age C = Catherine age The ratio of their age now : R / C = 3 Multiply both sides by C R * C / C = 3 C R = 3 C The ratio of their age after 8 years : ( R + 8 ) / ( C + 8 ) = 2 / 1 = 2 ( 3 C + 8 ) / ( C + 8 ) = 2 Multiply both sides by C + 8 ( 3 C + 8 ) * ( C + 8...

algebra
r1 = radius of a larger sphere r2 = radius of a smaller sphere Volume of a sphere is given by the formula : V = ( 4 / 3 ) pi * r ^ 3 Vollume of a larger sphere : V1 = ( 4 / 3 ) pi * r1 ^ 3 = ( 4 / 3 ) pi * ( 3 / 4 ) ^ 3 = Vollume of a smaller sphere : V2 = ( 4 / 3 ) pi * r2 ^ ...

- 3 / 5 ( x - 1 ) + y + 4 = 0 Multiply both sides by 5 - 3 x + 5 y + 20 = 0

Sorry c = 4

y + 4 = 3 / 5 ( x - 1 ) Subtract 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 3 / 5 ( x - 1 ) - 3 / 5 ( x - 1 ) y + 4 - 3 / 5 ( x - 1 ) = 0 - 3 / 5 ( x - 1 ) + y + 4 = 0 a = - 3 / 5 b = 1 c = 47

Algebra
a ^ 2 + b ^ 2 = a ^ 2 + 2 a * b + b ^ 2 2 a * b = a ^ 2 + b ^ 2 2 a * b = a ^ 2 + 2 a * b + b ^ 2 Subtract 2 a * b to both sides 2 a * b - 2 a * b = a ^ 2 + 2 a * b + b ^ 2 - 2 a * b 0 = a ^ 2 + b ^ 2 Subtract a ^ 2 to both sides 0 - a ^ 2 = a ^ 2 + b ^ 2 -a ^ 2 - a ^ 2 = b ^ ...

Math

Math
1 . a = first number b = second number The large one is 9 times the other. This mean : b = 9 a a * b = 15876 a * 9 a = 15876 9 a ^ 2 = 15876 Divide both sides by 9 a ^ 2 = 15876 / 9 a ^ 2 = 1764 a = sqroot ( 1764 ) a = 42 b = 9 a = 9 * 42 = 3789 2. a = first number b = second ...

Math
0.57 = 0.57 * 100 / 100 = 57 / 100

Math
Divide the numerator by the denominator.

math
After taking three tests average = 84 This mean a student in three test scored 3 * 84 = 252 pt average = 252 / 3 = 84 After four test a student average = ( 252 + 96 ) / 4 = 348 / 4 = 87 Answer C

Algebra
5 ( a - 7 ) + 7 = 2 ( a - 5 ) 5 * a - 5 * 7 + 7 = 2 * a - 2 * 5 5 a - 35 + 7 = 2 a - 10 5 a - 28 = 2 a - 10 Subtract 2 a to both sides 5 a - 28 - 2 a = 2 a - 10 - 2 a 3 a - 28 = - 10 Add 28 to both sides 3 a - 28 + 28 = - 10 + 28 3 a = 18 Divide both sides by 3 3 a / 3 = 18 / ...

MATH
If the sum of the n term = 225 your question does not make sense. It can not be solved. But if the sum of the n term = 255 then : In geometric sequence : The nth term is : an = a1 * r ^ ( n - 1 ) Where a1 is the first term of the sequence. r is the common ratio. n is the ...

Math
A) 7 2 / 9 = 7 + 2 / 9 = 7 * 9 / 9 + 2 / 9 = 63 / 9 + 2 / 9 = 65 / 9 ( 6 / 5 ) * ( 65 / 9 ) = 6 * 65 / ( 5 * 9 ) = 2 * 3 * 5 * 13 / ( 5 * 3 * 3 ) = 2 * 13 / 3 = 26 / 3 B) 6 2 / 7 = 6 + 2 / 7 = 6 * 7 / 7 + 2 / 7 = 42 / 7 + 2 / 7 = 44 / 7 2 * 44 / 7 = 88 / 7

mathematics
Volume of a sphere : V = ( 4 \ 3 ) * pi * r ^ 3 Radius increased by 5% New radius : rN = r + ( 5 / 100 ) * r = r + 0.05 * r = 1.05 * r rN = 1.05 * r New volume of a sphere : VN = { 4 \ 3 ) * pi * rN ^ 3 = { 4 \ 3 ) * pi * ( 1.05 r ) ^ 3 = { 4 \ 3 ) * pi * ( 1.05 ) ^ 3 * r ^ 3...

Math
taxexs = 4,550 / 35,000 = 0.13 = 13 % 35,000 + 4,000 = 39,000 39,000 * 0.13 = 5,070 5,070 - 4,550 = 520 \$ OR 4,550 / 35,000 = x / ( 35,000 + 4000 ) 4,550 / 35,000 = x / 39,000 4,550 * 39,000 = x * 35,000 x = 4,550 * 39,000 / 35,000 x = 177,450,000 / 35,000 x = 5,070 \$ 5,070 - ...

algebra
( - a - 6 b + 4 ) 3 a b = ( - a ) * 3 a b - 6 b * 3 a b + 4 * 3 a b = - 3 a ^ 2 * b - 18 a * b ^ 2 + 12 ab

Math
In google type : Multiplying and dividing decimals, multiply two or more decimals. When you see list of results click on : w w w . m o n t e r e y i n s t i t u t e . o r g

math
b = numer of boys g = number of girls There are 5 more girls than boys. g = b + 5 b + g = 49 b + b + 5 = 49 2 b + 5 = 49 Suptract 5 to both sides 2 b + 5 - 5 = 49 - 5 2 b = 44 Divide both sides by 2 2 b / 2 = 44 / 2 b = 22

math
b = numer of boys g = number of girls There are 15 more girls than boys. g = b + 15 b + g = 323 b + b + 15 = 323 2 b + 15 = 323 Subtract 15 to both sides 2 b + 15 - 15 = 323 - 15 2 b = 308 Divide both sides by 2 2 b / 2 = 308 / 2 b = 154

Algebra
Both answers is correct but you can simplify answer 1. sqrt ( 280 x ^ 6 ) / sqrt ( 7 x ) = sqrt ( 280 x ^ 6 / 7 x ) = sqrt [ ( 280 / 7 ) * x ^ 6 / x ] = sqrt ( 40 * x ^ 5 ) = sqrt ( 40 ) * sqrt ( x ^ 5 ) = sqrt ( 4 * 10 ) * sqrt ( x ^ 5 ) = sqrt ( 4 ) * sqrt ( 10 ) * sqrt ( x...

math
She is used: 350 ft - 110 ft = 240 ft of fence Perimeter of a square : P = 4 a 4 a = 240 ft Divide both sides by 4 a = 60 ft

maths
sqrt ( 2 ) isnt root of a cubic polynomial 6 x ^ 3 + 2 x ^ 2 - 10 x - 4 sqrt ( 2 )

math
In google type: integral calculator with steps When you see list of results click on: Integral Calculator with Steps - eMathHelp When page be open in rectangle: Enter a function type: x^3/(x^2+1)^(1/2) Remark: You must type function exactly in this form with brackets at (1/2) ...

math arithmetic sequence and series
If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence (an is given by: an = a1 + ( n - 1 ) * d This sum : S = n * [ 2 a1 + ( n - 1 ) * d ] / 2 In this case : a1 = 30 d = 3 n = 15 S = n...

Maths
59 * 59 - 41 * 41 = 3481 - 1681 = 1800 = 2 * 900 = 2 * 2 * 450 = 2 * 2 * 2 * 225 = 2 * 2 * 2 * 3 * 75 = 2 * 2 * 2 * 3 * 3 * 25 = 2 * 2 * 2 * 3 * 3 * 5 * 5 = 2 ^ 3 * 3 ^ 2 * 5 ^ 2

algebra
In google type : mathportal roots calculator When you see list of result click on : Online Polynomial Roots Calculator with explanation When page be open in rectangle type : x^4 + 2 x^3 - 13 x^2 + 4 x - 30 and cick option : Find Roots You will see solution step by step

How can you predict the number of x-intercepts without drawing the graph. Discriminant = b ^ 2 - 4 a c If the discriminant is positive, then there are two distinct roots ( x - intercepts ). If the discriminant is zero, then there is exactly one real root x - intercept ). If ...

- a x ^ 2 - b x - c = - ( a x ^ 2 + b x + c ) Quadratic function can be concave up or concave down. If a x ^ 2 + b x + c concave up or concave down graph of - a x ^ 2 - b x - c will be concave down or concave up. The graph is rotated 180 ° around the x - axis, but x-...

Calculus
Copy your question in google. When you see list of results click on : e n . a l l e x p e r t s . c o m You will see answer.

Math
( m ^ 2 - m + 3 ) + ( m - 1 ) = m ^ 2 - m + 3 + m - 1 = m ^ 2 - m + m + 3 - 1 = m ^ 2 + 2 ( m ^ 2 - m + 3 ) - ( m - 1 ) = m ^ 2 - m + 3 - m - ( - 1 ) = m ^ 2 - m - m + 3 + 1 = m ^ 2 - 2 m + 4

mat/116
x = score of second test average = ( 74 + x ) / 2 78 = ( 74 + x ) / 2 Multiply both sides by 2 156 = 74 + x Subtract 74 to both sides 156 - 74 = 74 + x - 74 82 = x x = 82 average = ( 74 + x ) / 2 = ( 74 + 82 ) / 2 = 156 / 2 = 78

math

math
8 * 10 ^ 3 * 7 * 10 ^ 5 = 8 * 7 * 10 ^ 3 * 10 ^ 5 = 56 * 10 ^ 8 = 5.6 * 10 * 10 ^ 8 = 5.6 * 10 ^ 9 ________________________________ Remark: a ^ n * a ^ m = a ^ ( m + n ) 10 ^ 3 * 10 ^ 5 = 10 ^ ( 3 + 5 ) = 10 ^ 8 10 = 10 ^ 1 10 * 10 ^ 8 = 10 ^ 1 * 10 ^ 8 = 10 ^ ( 1 + 8 ) = 10...

prealgebra
5 / 45 = 5 / ( 5 * 9 ) = 1 / 9

Math
an = a1 + ( n - 1 ) * d an = 4.6 + ( n - 1 ) * 3.2

Math
In arithmetic sequence : an = a1 + ( n - 1 ) * d d is the common difference n is the number of the term to find a6 = a1 + ( 6 - 1 ) * d = 20.6 a1 + 5 d = 20.6 a9 = a1 + ( 9 - 1 ) * d = 30.2 a1 + 8 d = 30.2 Now you must solve system of two equations with two unknown : a1 + 5 d...

Math
- 16 t ^ 2 + 200 = 0 Subtract 200 to toth sides - 16 t ^ 2 + 200 - 200 = 0 - 200 - 16 t ^ 2 = - 200 Divide both sides by - 16 - 16 t ^ 2 / - 16 = - 200 / - 16 t ^ 2 = - 200 / -16 t ^ 2 = 200 / 16 t ^ 2 = 4 * 50 / ( 4 * 4 ) t ^ 2 = 50 / 4 t ^ 2 = 2 * 25 / ( 2 * 2 ) t ^ 2 = 25...

Math
4 sin ( theta ) + 1 = 2 sin ( theta ) Subtract 2 sin ( theta to both sides ) 4 sin ( theta ) + 1 - 2 sin ( theta ) = 2 sin ( theta ) - 2 sin ( theta ) 2 sin ( theta ) + 1 = 0 Subtract 1 to both sides 2 sin ( theta ) + 1 - 1 = 0 - 1 2 sin ( theta ) = - 1 Divide both sides by 2 ...

Maths
a = the length of the larger square b = the length of the smaller square a ^ 2 + b ^ 2 = 65 Possible combinations : a = 1 , b = 8 , a ^ 2 + b ^ 1 = 1 ^ 2 + 8 ^ 2 = 1 + 64 = 65 But the length of the smaller square is greater of the length of the larger square. You must reject ...

math
m = number of male lions f = number of female lions m / f = 21 / 20 Multiply both sides by 20 20 m / f = 21 * 20 / 20 20 m / f = 21 Multiply both sides by f 20 m * f / f = 21 * f 20 m = 21 f Divide both sides by 20 20 m / 20 = 21 f / 20 m = 21 f / 20 m + f = 123 ...

math
L = 2 W + 3 A = L * W = ( 2 W + 3 ) * W = 2 W ^ 2 + 3 W A = 2 W ^ 2 + 3 W 54 = 2 W ^ 2 + 3 W Subtract 54 to both sides 54 - 54 = 2 W ^ 2 + 3 W - 54 0 = 2 W ^ 2 + 3 W - 54 2 W ^ 2 + 3 W - 54 = 0 The solutions are : W = - 6 and W = 9 / 2 Width can't be negative so : W = 9 / ...

math
2 x ^ 2 ( 5 x ^ 2 - 1 x - 4 ) = ( 2 x ^ 2 * 5 x ^ 2 ) - ( 2 x ^ 2 * 1 x ) - ( 2 x ^ 2 * 4 ) = 10 x ^ 4 - 2 x ^ 3 - 8 x ^ 2

(Algebra) need help plz
Straight-line equations is the "slope-intercept" form: y = m * x + b x = - 1 , y = - 2 y = m * x + b - 2 = m * ( - 1 ) + b - 2 = - m + b Add 2 to both sides - 2 + 2 = - m + b + 2 0 = - m + b + 2 Add m to both sides 0 + m = - m + b + 2 + m m = b + 2 x = 0 , y = 1 y = ...

math
Watch x and y values : x = - 2 , y = - 4 , y = 2 x x = 0 , y = 0 , y = 2 x x = 2 , y = 4 , y = 2 x x = 4 , y = 8 , y = 2 x y = 2 x

math
p = \$100 + \$0.2 * kilometers Answer C.

Math
10 = 2 * 5 20 = 2 * 10 40 = 2 * 20 I geometric sequence : an = a1 * r ^ ( n - 1 ) where a1 is the first term of the sequence. r is the common ratio. n is the number of the term to find In this case : a1 = 5 r = 2 an = a1 * r ^ ( n - 1 ) an = 5 * 2 ^ ( n - 1 )

Calculus
In google type : Shortest Ladder over a Fence When you see list of results click on: Shortest Ladder over a Fence - Mathematics Archives You will see solution.

math
Prime factors decomposition: 4312440 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 5 * 11 * 11 * 11 Divisors are 2 , 3 , 5 , 11 4 divisors.

Algebra 1
2 x - y = z Add y to both sides 2 x - y + y = z + y 2 x = z + y Subtract z to both sides 2 x - z = z + y - z 2 x - z = y y = 2 x - z

Math
3,000 cm Becouse 1 m = 100 cm 3,000 cm = 3,000 / 100 = 30 m

math
Completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 12 gallon bucket. Again completely fill the 7 gallon bucket. Pour the water from 7 gallon bucket into 6 gallon bucket. Now in 7 gallon bucket you have 7 - 6 = 1 gallon. Pour that 1 gallon into 12 ...

Math
1.) a1 = 16.5 a2 = 16.5 + 0.25 = 16.75 a3 = 16.75 + 0.25 = 17 a4 = 17 +0.25 = 17.25 a5 = 17.25 +0.25 = 17.5 2.) an = a1 + ( n - 1 ) * d an = - 1 + ( n - 1 ) * 5 OR an = 5 ( n - 1 ) - 1

Math
In an Arithmetic Sequence the difference between one term and the next is a constant. 19 - 14 = 5 24 - 19 = 5 29 - 24 = 5 So difference = 5 29 + 5 = 34 34 + 5 = 39 39 + 5 = 44 Answer A

pre-calc
When you want to solve system with three unknowns you must write three equations, not two.

math
3. Answer c Becouse : For x = - 4 y = 2 x – 3 = 2 * ( - 4 ) - 3 = - 8 - 3 = - 11 4. Answer d If your expression mean y = - x + 8 6. m = ( y2 - y1 ) / ( x2 - x1 ) In this case : x1 = 6 , x2 = 4 , y1 = 2 , y2 = - 2 m = ( y2 - y1 ) / ( x2 - x1 ) = ( - 2 - 2 ) / ( 4 - 6...

math
( 10 , - 52 ) Becouse : For x = 10 y = - 5 x - 4 = - 5 * 10 - 4 = - 50 - 4 = - 54

Geometry
The interior angles of a triangle always add up to 180° x + x + 10° + 2 x - 6° = 180° 4 x + 4° = 180° Subtract 4° to both sides 4 x + 4° - 4° = 180° - 4° 4 x = 176° Divide both sides by 4 4 x / 4 = 176° / 4 x = 44° Angles...

algebra
In google type : Systems Matrix Calculator When you see list of result click on : Online calculator. Linear equations solver: Matrix solution. When page be open type your coefficients 1 , 3 , 2 , 3 2 , - 1 , - 3 , - 8 5 , 2 , 1 , 9 and click opštion : Solve the system. ...

ALGEBRA /116
-5 x / 7 - 2 > - 1 Multiply both sides by - 1 _______________________________________ Remark : When you multiply or divide each side of the inequality by a negative number, you have to reverse the inequality symbol. ______________________________________ 5 x / 7 + 2 < 1 ...

algebra/116
Put x and y values into equation : y = 6 x - 6 1. x = 0 , y = - 6 y = 6 x - 6 y = 6 * 0 - 6 = 0 - 6 = - 6 Correct x = 12 , y = 3 y = 6 x - 6 y = 6 * 12 - 6 = 72 - 6 = - 66 Not correct One correct set and one uncorrect set. So ansver 1 is not correct. 2. x = 0 , y = - 6 y = 6 x...

math
( 3 / 4 ) * ( 7 / 8 ) = ( 3 * 7 ) / ( 4 * 8 ) = 21 / 32

calculus
W = Width L = Length Draw rectangle W x L Divde rectangle into thirds with two lines parallel with width. Outside fance perimeter = 2 W + 2 L Inside fance length = 2 W Total cost : ( 2 W + 2 L ) * 10 \$ + 2 W * 20 \$ = 400 \$ ( 2 W + 2 L ) * 10 + 2 W * 20 = 400 20 W + 20 L + 40 W...

math
39 = 3 * 13

math
a = First number b = Second number The sum of digit = 9 a + b = 9 Subtract b to both sides a + b - b = 9 - b a = 9 - b The different of digit = 5 b - a = 5 b - ( 9 - b ) = 5 b - 9 + b = 5 2 b - 9 = 5 Add 9 to both sides 2 b - 9 + 9 = 5 + 9 2 b = 14 Divide both sides by 2 2 b...

math help
x + y = 2 Subtract x to both sides x + y - x = 2 - x y = 2 - x 3 x ^ 2 + 4 x y + y ^ 2 = 6 3 x ^ 2 + 4 x ( 2 - x ) + ( 2 - x ) ^ 2 = 6 ________________________________ Remark : ( a - b ) ^ 2 = a ^ 2 - 2 a b + b ^ 2 So : ( 2 - x ) ^ 2 = 2 ^ 2 - 2 * 2 *x + x ^ 2 ...

Algebra 1
This is not systems of equations.

Math
330 ° = 360 ° - 30 ° Circular functions: sin ( 360 ° - theta ) = - sin theta sin 330 ° = sin ( 360 ° - 30 ° ) = - sin 30 ° = - 1 / 2 cos ( 360 ° - theta ) = cos theta cos 330 ° = cos ( 360 ° - 30 ° ) = cos 30 ° = sqroot 2 / 2...

General Question.
In Psychology : Dark orange - Distrust Pink - Caring Blue - Loyalty

math
For example : First : Rectangle 18 x 2 Perimeter = 2 * 18 + 2 * 2 = 36 + 4 = 40 Area = 18 * 2 = 36 Second : Rectangle 7 x 6 Perimeter = 2 * 7 + 2 * 6 = 14 + 12 = 26 Area = 7 * 6 = 42

1 1 / 2 = 1 + 1 / 2 = 2 / 2 + 1 / 2 = 3 / 2 If She uses 1 1/2 cups of sugar for every 2 pies she use ( 1 1 / 2 ) / 2 = ( 3 / 2 ) / 2 = 3 / 4 cup for one pie. 5 1 / 4 = 5 + 1 / 4 = 20 / 4 + 1 / 4 = 21 / 4 5 1 / 4 / ( 3 / 4 ) = 21 / 4 / ( 3 / 4 ) = 21 / 3 = 7 pies

Math
Note that, in this sequence, each term is twice the previous term. 6 / 4 = 2 * 3 / 4 12 / 4 = 2 * 6 / 4 = 3 24 / 4 = 2 * 12 / 4 = 2 * 3 = 6 48 / 4 = 2 * 24 / 4 = 2 * 6 = 12 96 / 4 = 2 * 48 / 4 = 2 * 12 = 24 192 / 4 = 2 * 96 / 4 = 2 * 24 = 48 384 / 4 = 2 * 192 / 4 = 2 * 48 = 96...

Trigonometry
943 ° = 720 ° + 223 ° = 2 * 360 ° + 223 ° Coterminal angle = 223 °

- 10 x + y = 4 x = - 2 - 10 * ( - 2 ) + y = 4 20 + y = 4 y = 4 - 20 = - 16 x = - 1 - 10 * ( - 1 ) + y = 4 10 + y = 4 y = 4 - 10 = - 6 x = 0 - 10 * 0 + y = 4 0 + y = 4 y = 4 x = 1 - 10 * 1 + y = 4 - 10 + y = 4 y = 4 + 10 = 14 x = 2 - 10 * 2 + y = 4 - 20 + y = 4 y = 4 + 20 = 24

Math
an = a1 + ( n - 1 ) d a10 = 3 + ( 10 - 1 ) * 6 a10 = 3 + 9 * 6 = 3 + 54 = 57

Math
In arithmetic sequence : an = a1 + ( n - 1 ) d Where: a1 is the first term of the sequence d is the common difference n is the number of the term a1 = 3 a4 = 3 + ( 3 - 1 ) d = 3 + 2 d a13 = 3 + ( 13 - 1 ) d = 3 + 12 d 1st, 4th, and 13th term forming a geometric sequence, so : ...

Math
2 / 3 = 2 / 3 * 1 = ( 2 / 3 ) * ( 3 / 3 ) = 6 / 9 2 / 9 + 2 / 3 = 2 / 9 + 6 / 9 = 8 / 9

MATH