# Posts by Bosnian

Total # Posts: 2,464

**Mathematic**

In google type : wolframapha widget "Step-by-step integration" When yoe see list of results click on : WolfrAlpha Widget "Step-by-step integration" When page be open in rectangle type : cos^2(3x)sin^4(3x) (type exactly like that) and click option : Submit ...

**math**

1 - 3 / 4 = 4 / 4 - 3 / 4 = 1 / 4 2 / ( 1 / 4 ) = ( 2 / 1 ) / ( 1 / 4 = ( 2 * 4 ) / ( 1 * 1 ) = 8 / 1 = 8 $

**Math-**

When you multiply or divide left and right sides of inequality WITH NEGATIVE NUMBER , you MUST CHANGE the direction of the inequality

**Math-**

x / 2 - ( 3 x - 1 ) / 3 = [ 3 x - 2 ( 3 x - 1 ) ] / 6 = ( 3 x - 6 x + 2 ) / 6 = ( - 3 x + 2 ) / 6 x / 2 - ( 3 x - 1 ) / 3 < 1 / 4 ( - 3 x + 2 ) / 6 < 1 / 4 Multiply both sides by 6 - 3 x + 2 < 6 / 4 Multiply both sides by 4 - 12 x + 8 < 6 Subtract 8 to both sides...

**Algebra**

P = Perimeter L = Legth W = Width P = 2 L + 2 W = 2 ( L + W ) 38 = 2 ( L + 4 ) Divide both sides by 2 19 = L + 4 Subtract 4 to both sides 19 - 4 = L + 4 - 4 15 = L L = 15 in

**Pre-Calculus**

3 ^ ( - 3 ) = 1 / 27 OR 1 / 3 ^ 3 = 1 / 27

**fractions**

13 1 / 4 = 13 5 / 20

**fractions**

13 1 / 4 = 13 4 / 20 12 9 / 10 = 12 18 / 20 13 4 / 20 + 12 18 / 20 = 25 22 / 20 = 25 11 / 10 = 25 +10 / 10 + 1 / 10 = 25 + 1 + 1 / 10 = 26 1 / 10

**Algebra**

A is correct answer

**Math question**

If 1-(3x/2) <. 4 mean : 1 - ( 3 x / 2 ) < 0.4 then Subtract 1 to both sides 1 - ( 3 x / 2 ) - 1 < 0.4 - 1 - 3 x / 2 < - 0.6 Multiply both sides by 2 - 3 x < - 1.2 Divide both sides by - 3 ________________________________________ Remark: When you multiply or ...

**algebra**

2 x + ( 1 / 2 ) y = 24 Multiply both sides by 10 20 x + ( 1 / 2 ) y * 10 = 24 * 10 20 x + 5 y = 240 ________________________________________ 3 x + 5 y = 10 - 20 x + 5 y = 240 ________________________________________ 3 x - 20 x + 5 y - 5 y = 10 - 240 - 17 x = - 230 Divide both ...

**math**

a = smaller number b = larger number a = b - 18 a + b = 58 b - 18 + b = 58 2 b - 18 = 58 Add 18 to both sides 2 b - 18 + 18 = 58 + 18 2 b = 76 Divide both sides by 2 2 b / 2 = 76 / 2 b = 38 a = b - 18 a = 38 - 18 = 20 smaller number = 20 larger number = 38

**algebra I**

In google type: quadratic equation online When you see list of results click on: Free Online Quadratic Equation Solver:Solve by Quadratic Formula When page be open in rectangle type: 16x^2+56x-120=0 and click option: solve it You will see solution step-by step

**math**

42 % = 42 / 100 40 = x * 42 / 100 Multiply both sides by 100 40 * 100 = 42 x 4000 = 42 x Divide both sides by 42 4000 / 42 = x x = 95.238 OR 42 % = 42 / 100 = 0.42 x = 40 / 0.42 = 95.238

**maths**

The n - th term of a geometric progression with initial value a and common ratio r is given by: an = a * r ^ ( n - 1 ) In this case : a3 = a * r ^ ( 3 - 1 ) = a * r ^ 2 = 36 a8 = a * r ^ ( 8 - 1 ) = a * r ^ 7 = 8748 So you must solve two equations : a * r ^ 2 = 36 and a * r ^ ...

**Math (2nd Try)**

OR P = 6 x y ( 2x ^ 2 y + 1 ) + 2

**Math (2nd Try)**

OR P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 ) P = 12 x ^ 3 y ^ 2 + 6 x y + 2 P = x y ( 12 x ^ 2 y + 6 ) + 2

**Math (2nd Try)**

P = 2 l + 2 w P = 2 ( l + w ) P = 2 ( 6 x ^ 3 y ^ 2 - 1 + 3 x y + 2 ) P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 )

**MATH**

0.9 h = 0.9 * 60 min = 54 min

**MATH**

1 h = 60 min 0.9 h = 54 min 1.9 h = 1 h 54 min 1 h = 60 min write 5 h 05 min like : 5 h 05 min = 4 h + 60 min + 5 min = 4 h 65 min 5 h 05 min - 1.9 h = 4 h 65 min - 1 h 54 min = 3 h 11 min PM

**Algebra**

J = 45 Jims age C = Carols age Jim is 10 years older than 5 times his niece Carol J = 45 = 5 C + 10 45 = 5 C + 10 Subtract 10 to both sides 45 - 10 = 5 C + 10 - 10 35 = 5 C Divide both sides by 5 35 / 5 = 5 C / 5 7 = C Carol is 7 yo

**Math**

1. x ^ 2 + 4.5 x = 0 x ^ 2 + 9 x / 2 = 0 x / 2 ( 2 x + 9 ) = 0 Multiply both sides by 2 x ( 2 x + 9 ) = 0 First solution: obviously x = 0 Second solution: 2 x + 9 = 0 Subtract 9 to both sides 2 x + 9 - 9 = 0 - 9 2 x = - 9 Divide both sides by 2 x = - 9 / 2 Solutions are x = 0 ...

**math**

y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. OR y-intercept is a point where x = 0 1 / 2 y = 9 x + 5 Multiply both sides by 2 y = 18 x + 10 for x = 0 y = 18 * 0 + 10 = 0 + 10 = 10 y-intercept = 10 3 x = 6...

**algebra**

In google type: How many rational numbers are there between 0 and 1 Yo will find answer.

**Algebra**

A parabola which opens up has a lowest point and a parabola which opens down has a highest point. The highest or lowest point on a parabola is called the vertex. The parabola is symmetric about a vertical line through its vertex, called the axis of symmetry. x - coordinate of ...

**Algebra**

x = - b / 2 a x = - 6 / [ 2 * ( - 1 ) ] x = - 6 / - 2 = 3 y = - 3 ^ 2 + 6 * 3 - 11 y = - 9 + 18 - 11 = - 2 Answer A

**Calculus**

d ( x ^ n ) / dx = n x ^ ( n - 1 ) d ( x ^ - 6 ) / dx = - 6 x ^ ( - 6 - 1 ) = - 6 x ^ - 7 d [ sqr 5 ( x ^ - 6 ) ] / dx = sqr 5 ( - 6 ) x ^ - 7 = - 6 sqr 5 / x ^ 7

**Math**

1 + n / 16 = 2 Subtract 1 to both sides 1 + n / 16 - 1 = 2 - 1 n / 16 = 1 Multiply both sides by 16 n * 16 / 16 = 1 * 16 n = 16 Proof: 1 + n / 16 = 2 1 + 16 / 16 = 2 1 + 1 = 2

**Math (PreAlgebra) 8thG**

V = ( 4 / 3 ) * pi * r ^ 3 V = ( 4 * pi * r ^ 3 ) / 3 V = 4 * 3.1416 * 10 ^ 3 / 3 V = 4 * 3.1416 * 1000 / 3 V = 12566.4 / 3 V = 4188.8 ft ^ 3 Round to the nearest whole number V = 4189 ft ^ 3

**College Algebra**

In google type this question and you will see answer

**Algebra**

Remark: 12 = 4 * 3 9 = 3 * 3 12 / 9 = 4 * 3 / ( 3 * 3 ) = 4 / 3 ________________________________________ C = number of cats D = numbers of dog C = D + 4 C / D = 12 / 9 C / D = 3 * 4 / ( 3 * 3 ) C / D = 4 / 3 ________________________________________ In a pet store there are 4 ...

**maths**

C = Cost n = nubers of friends If they all contributed $24, then they would be $6 short of the total: n * 24 = C - 6 Add 6 to both sides 24 n + 6 = C - 6 + 6 24 n + 6 = C C = 24 n + 6 If they all contributed $25, then they would have $3 more than needed. n * 25 = C + 3 25 n = ...

**maths**

2 / x − 24 / y = − 1 Divide both sides by 2 1 / x - 12 / y = - 1 / 2 Add 12 / y to both sides 1 / x - 12 / y + 12 / y = - 1 / 2 + 12 / y 1 / x = 12 / y - 1 / 2 6 / x + 33 / y = 2 6 * ( 12 / y - 1 / 2 ) + 33 / y = 2 72 / y - 6 * 1 / 2 + 33 / y = 2 72 / y - 3 + 33 / ...

**maths**

140 / 35 = 4 h

**MATH**

C = Circumference d = diameter C = d pi Divide both sides by pi C / pi = d d = 50 / 3.1416 = 15.915457 m d = 15.9 m rounded to the nearest tenth

**math**

72 x 5 / 8 = 72 x 5 / 8 = 360 / 8 = 45

**Math**

( 6 / 10 ) * 10 = 6

**math**

OR 1 / 3 of 33 = 11 2 / 3 of 33 = 2 * 11 = 22

**math**

( 2 / 3 ) * 33 = 66 / 3 = 22

**math**

2 x + y = 6 Subtract 2 x to both sides 2 x + y - 2 x = 6 - 2x y = 6 - 2x 3 x + 4 y = 4 3 x + 4 ( 6 - 2 x ) = 4 3 x + 24 - 8 x = 4 - 5 x + 24 = 4 Subtract 24 to both sides - 5 x + 24 - 24 = 4 - 24 - 5 x = - 20 Divide both sides by - 5 - 5 x / - 5 = - 20 / - 5 x = 4 y = 6 - 2x y...

**College Algebra--Still Confused**

In google type: quadratic equation online When you see list of result click on: Free Online Quadratic Equation Solver:Solve by Quadratic Formula When page be open in rectangle type your equation and cilck option: solve it! You will see solutions step-by step and discriminant ...

**5th grade math**

4 / ( 1 / 3 ) = 4 * 3 = 12 OR 1 / 3 yard to make 1 bow 1 yard to make 3 bow 4 * 3 = 12

**math**

80 % = 80 / 100 = 4 * 2 * 10 / ( 10 * 2 * 5 ) = 4 / 5

**algebra**

x ^ 2 - x - 20 =( x + 4 ) ( x + 5 ) ( x - 5 ) / ( x ^ 2 - x - 20 )= ( x - 5 ) / [ ( x + 4 ) ( x + 5 ) ] = 1 / ( x + 4 ) Your answer is correct

**math**

1 yd = 3 ft 1 ft = 1/3 yd 7 3/5 = 7 + 3/5 = 35/5 + 3/5 = 38 / 5 7 3/5 ft =( 38/5 ) * 1/3 = 38/15 yd = 2.5333333333 yd

**math - grade 7**

d = 2 r d = 2 * 4.26 = 8.52 m A = d ^ 2 pi / 4 A = 8 ^ 2 pi / 4 A = 64 pi / 4 A = 16 pi mm ^ 2 A = 16 * 3.14 = 50.24 mm ^ 2

**college algebra**

( 9.87x 10 ^ 6 ) (34 x 10 ^ 11 ) = 9.87 x 34 x 10 ^ 6 x 10 ^ 11 = 335.58 x 10 ^ ( 6 + 11 ) = 335.58 x 10 ^ 17 = 3.3558 x 10 ^ 2 x 10 ^ 17 = 3.3558 x 10 ^ ( 2 + 17 ) = 3.3558 x 10 ^ 19 Your answer is correct.

**pre- algebra**

D. f( x ) = 4 - x for x = 1 f ( x ) = 4 - 1 = 3 for x = 2 f ( x ) = 4 - 2 = 2 for x = 3 f ( x ) = 4 - 3 = 1 for x = 4 f ( x ) = 4 - 4 = 0

**MATH**

In google type: unit converter barel gallon you will find many sites

**Math**

4. C 3. B

**Math**

3 a + 6 b + 9 c = 3 ( a + 2 b + 3 c ) = 3 * 34 = 102

**math**

4 x + 6 y = 1 / 8 - 3 x + 7 y = 1 / 10 _________________________ x - y = 1 / 8 - 1 / 10 x - y = 5 / 40 - 4 / 40 x - y = 1 / 40 Add y to both sides x - y + y = 1 / 40 + y x = y + 1 / 40 4 x + 6 y = 1 / 8 4 ( y + 1 / 40 ) + 6 y = 1 /8 4 y + 4 / 40 + 6 y = 1 / 8 10 y + 1 / 10 = 1...

**Math 6**

5 1 / 2 = 5 + 1 / 2 = 10 / 2 + 1 / 2 = 11 / 2 8 * 5 1 / 2 = 8 * 11 / 2 = 88 / 2 = 44 OR 5 1 / 2 = 5.5 8 * 5.5 = 44

**marh 150 help**

2 x ^ 7 - 9 x ^ 7 = - 7 x ^ 7 100 % - 30 % = 70 % = 70 / 100 = 0.7 80 * 0.7 = 56 $

**math**

y = ( 1 / 3 ) x + 2 4 x + 9 y = 24 4 x + 9 [ ( 1 / 3 ) x + 2 ] = 24 4 x + ( 9 / 3 ) x + 18 = 24 4 x + 3 x + 18 = 24 7 x + 18 = 24 Subtract 18 to both sides 7 x - 18 = 24 - 18 7 x = 6 Divide both sides by 7 x = 6 / 7 y = ( 1 / 3 ) x + 2 y = ( 1 / 3 ) 6 / 7 + 2 y = 1 * 6 / ( 3...

**Math**

2 y + 4 x = 3 ( y - x ) + 8 2 y + 4 x = 3 y - 3 x + 8 Subtract 4 x to both sides 2 y + 4 x - 4 x = 3 y - 3 x + 8 - 4 x 2 y = 3 y - 7 x + 8 Subtract 3 y to both sides 2 y - 3 y = 3 y - 7 x + 8 - 3 y - y = - 7 x + 8 Multiply both sides by - 1 y = 7 x - 8 A straight line on the ...

**math**

Side of square : a = sqrt ( 49 ) = 7 cm Side of new square : a1 = 7 * 5 / 8 = 35 / 8 = 4.375 cm Area of new square : A1 = ( 35 / 8 ) ^ 2 = 1225 / 64 = 4.375 ^ 2 = 19,140625 cm ^ 2

**math**

cos ^ 2 ( x ) - sin ^ 2 ( x ) = cos ( 2x ) 2 sin ( x ) cos ( x ) = sin ( 2 x ) Equation : cos ^ 2 ( x ) - 2 sin( x ) cos( x ) - sin ^ 2 ( x ) = 0 we can write like : cos ( 2 x ) - sin ( 2 x ) = 0 Add sin ( 2 x ) to both sides cos ( 2 x ) - sin ( 2 x ) + sin ( 2 x ) = 0 + sin...

**Math**

7 x + 5 = 4 x + 5 + 3 x ________________________________________ 7 x + 5 = 4 x + 5 + 3 x 7 x + 5 = 7 x + 5 That ic correct for all value of x ( infinite number of solutions ) ________________________________________

**algebra**

9 x + 8 = 2 + 8 9 x + 8 = 10 Subtract 8 to both sides 9 x + 8 - 8 = 10 - 8 9 x = 2 Divide both sides by 9 x = 2 / 9

**Math -3**

6 / 5 = ( 5 + 1 ) / 5 = 5 / 5 + 1 / 5 = 1 + 1 / 5 = 1 1 / 5 = 1 .2 13 / 5 = ( 10 + 3 ) / 5 = 10 / 5 + 3 / 5 = 2 + 3 / 5 = 2 3 / 5 = 2.6 9 / 5 = ( 5 + 4 ) / 5 = 5 / 5 + 4 / 5 = 1 4 / 5 = 1.8 7 / 5 = ( 5 + 2 ) / 5 = 1 + 2 / 5 = 1 2 / 5 = 1.4

**Math**

1 in = 2.54 cm 1 cm = 1 in / 2.54 d ( in ) = 2.4 / 2.54 None of these

**Algebra 2**

2 x ^ 2 = 5 x + 12 Subtract 5 x + 12 to both sides 2 x ^ 2 - ( 5 x + 12 ) = 5 x + 12 - ( 5 x + 12 ) 2 x ^ 2 - 5 x - 12 = 0 Divide both sides by leading coefficient ( 2 ) x ^ 2 - 5 x / 2 - 6 = 0 Add 6 to both sides x ^ 2 - 5 x / 2 - 6 + 6 = 0 + 6 x ^ 2 - 5 x / 2 = 6 ...

**calculus**

ln(5x)

**math**

5 n = 32 Divide both sides by 5 n = 32 / 5 n = 6.4

**math**

a b - ( a - b ) = 0.5 * 0.4 - ( 0.5 - 0.4 ) = 0.2 - 0.1 = 0.1

**math**

( - 6 ) + ( - 3 ) - ( - 1 ) - ( + 4 ) = - 6 - 3 + 1 - 4 = - 12

**Algebra**

a x + a y = a ( x + y ) a ( x + y ) = a ( x + y ) Identity

**math**

1 ft = 12 in 2 ft = 24 in 6 ft = 72 in 16 ft = 192 in 3 ft + 4 in + 2 ft + 10 in + 6 ft 8 in = 36 + 4 + 24 + 10 + 72 + 8 = 154 in 16 ft - 154 in = 192 in - 154 in = 38 in = 36 in + 2 in = 3 ft 2 in

**math**

( 3 / 5 ) / 4 = 3 / ( 5 * 4 ) = 3 / 20 m

**Math**

a = first number b = second number a - b = 3 Add b to both sides a - b + b = 3 + b a = b + 3 a ^ 2 + b ^ 2 = 89 ( b + 3 ) ^ 2 + b ^ 2 = 89 b ^ 2 + 2 * b * 3 + 3 ^ 2 + b ^ 2 = 89 b ^ 2 + 6 b + 9 + b ^ 2 = 89 2 b ^ 2 + 6 b + 9 = 89 Divide both sides by 2 b ^ 2 + 3 b + 9 / 2 = 89...

**Math**

W = Garden width H = Garden height A = Garden area L = W + 4 A = L * W 60 = ( W + 4 ) * W 60 = W ^ 2 + 4 W Add 4 to both sides 64 = W ^ 2 + 4 W + 4 ________________________________________ Remark : W ^ 2 + 4 W + 4 = ( W + 2 ) ^ 2 ________________________________________ 64...

**Math**

a = length of one side of the square W = Rectangle width H = Rectangle height A = Rectangle area W = a + 2 H = a - 2 A = W * H A = ( a + 2 ) * ( a - 2 ) = 32 32 = a ^ 2 + 2 a - 2 a - 4 32 = a ^ - 4 Add 4 to both sides 32 + 4 = a ^ - 4 + 4 36 = a ^ 2 a = sqrt ( 36 ) = 6 The ...

**math**

- 8 - 7 x > 6 Add 8 to both sides - 8 - 7 x + 8 > 6 + 8 - 7 x > 14 Divide both sides by - 7 ________________________________________ Remark: When you multiply or divide inequality by a negative number you must change the direction of the inequality. ...

**math question**

9.327 + 5.72 + 4.132 = 19.179 = 19.2 rounded to one decimal place

**math**

9 / 18 = 1 / 2 3 9 / 18 = 3 1 / 2 3 * 18 = 54 1 / 3 = 18 / 54 1 / 2 = 27 / 54 5 1 / 3 + ( - 3 9 / 18 ) = 5 1 / 3 - 3 9 / 18 = 5 1 / 3 - 3 1 / 2 5 + 18 / 54 - ( 3 + 27 / 54 ) = 5 - 3 + 18 / 54 - 27 / 54 = 2 - 9 / 54 = 2 - 9 / ( 9 * 6 ) = 2 - 1 / 6 = 1 + 1 - 1 / 6 = 1 + 6 / 6 - ...

**8thMath**

C = numbers of students in class Boys = 3 / 5 of the class ( 3 / 5 ) C = 24 Multiply both sides by 5 3 C = 24 * 5 3 C = 120 Divide both sides by 3 C = 120 / 3 = 40 girls = ( 2 / 5 ) * 40 = 80 / 5 = 16

**math**

limit ( 5000 t ^ 2) / ( t + 2 ) ^ 2 as t - > infinity = 5000 limit t ^ 2 / ( t + 2 ) ^ 2 as t - > infinity ________________________________________ t ^ 2 / ( t + 2 ) ^ 2 when t = infinity = infinity / infinity so you must use L'Hospital's rule ...

**HELPP math**

Go on : wolframalpha dot com When page be open in rectangle type : variance {13,14,29,26,41,53,60,7,89,14} and click option = Then in rectangle type : standard deviation {13,14,29,26,41,53,60,7,89,14} The variance = 685.156 approx. 685.2 The standard deviation = 26.1755 approx...

**algebra**

In google type: functions graphs online When you see list of results click on: rechneronline.de/function-graphs When page be open in blue recatacangle type: 3x+3 In grey rectacangle type: -x-3 Then click option Draw

**Pre Algebra Help ASAP**

a. 3 x – 3 = – 4 x Add 4x to both sides 3 x – 3 + 4 x = – 4 x 4 x 7 x - 3 = 0 Add 3 to bozh sides 7 x - 3 + 3 = 0 + 3 7 x = 3 Divide both sides by 7 x = 3 / 7 ONLY ONE SOLUTION b. 2 y + 4 – y = 16 y + 4 = 16 Subtracr 4 to both sides y + 4 - 4 = 16 - 4 ...

**Pre-Algebra**

5 h – 9 = – 16 + 6 h Add 9 to both sides 5 h – 9 + 9 = – 16 + 6h + 9 5 h = – 7 + 6h Subtract 5 h to both sides 5 h - 5 h = - 7 + 6 h - 5 h 0 = - 7 + h Add 7 to both sides 0 + 7 = - 7 + h + 7 7 = h h = 7 Proof : 5 h – 9 = – 16 + 6 h 5 * 7 - 9...

**math**

8 ( n - 3 ) / 3 = 32 Multiply both sides by 3 8 ( n - 3 ) = 96 Divide both sides by 8 n - 3 = 12 Add 3 to both sides n = 15

**calculus**

a. When x = sqrt ( 5 ) f ( x ) = 10 x ^ 2 / ( x ^ 4 + 25 ) = 10 * sqrt ( 5 ) ^ 2 / ( sqrt ( 5 ) ^ 4 + 25 ) = 10 * 5 / ( 25 + 25 ) = 50 / 50 = 1 yes b. When x = 3 f ( x ) = 10 x ^ 2 / ( x ^ 4 + 25 ) = 10 x ^ 2 / ( x ^ 4 + 25 ) = 10 * 3 ^ 2 ( 3 ^ 4 + 25 ) = 10 * 9 / ( 81 + 25...

**algebra**

Which points?

**math final review (help)**

Type your question in google. When you see list of result go on : algebra dot com

**math need help**

5 , 50 7 , 62 8 , 68 10 , 80 12 , 92 Different : 7 - 5 = 2 62 - 50 = 12 12 / 2 = 6 That mean : y increases for 6 when x increases for 1 That is slope. Slope intercept equation of straight line : y = m ( x + x1 ) + y1 In this case : m = ( y2 - y1 ) / ( x2 - x1 ) You can take ...

**Algebra 2**

( 2 - 5i ) - ( 3 + 4i ) = 2 - 5i - 3 - 4i = - 1 - 9i = - ( 1 + 9i )

**Math help**

d = diagonal L = Length W = Width d ^ 2 = L ^ 2 + W ^ 2 50 ^ 2 = 48 ^ 2 + W ^ 2 2500 = 2304 + W ^ 2 Subtract 2304 to both sides 2500 - 2304 = 2304 + W ^ 2 - 2304 196 = W ^ 2 W = sqrt ( 196 ) W = + OR - 14 Width can't be negative so W = 14 cm

**Solve for x math help**

x - 4 = sqrt ( 12 ) x - 4 = sqrt ( 4 * 3 ) x - 4 = 2 sqrt ( 3 ) x = 2 sqrt ( 3 ) + 4 x = 2 [ sqrt ( 3 ) + 2 ]

**math**

a = first number b = second number b = a + 2 a + 5 ( a + 2 ) = 58 a + 5 a + 10 = 58 6 a + 10 = 58 Subtrac 10 to both sides 6 a + 10 - 10 = 58 - 10 6 a = 48 Divide both sides by 6 6 a / 6 = 48 / 6 a = 8 b = a + 2 = 8 + 2 = 10 Your numbers are 8 and 10 8 + 5 * 10 = 8 + 50 = 58

**math/algebra**

L = W + 5 A = L * W ( W + 5 ) * W = 66 W ^ 2 + 5 W = 66 W ^ 2 + 5 W - 66 = 0 Solutions of equation are : W = - 11 and W = 6 Length can't be negative so : W = 6 cm Proof: L = W + 5 = 6 + 5 = 11 A = L * W = 11 * 6 = 66 cm ^ 2

**math**

4 a + ( 4a + 3 ) = 8 a + 3

**Math**

20 / 45 = 5 * 4 / ( 5 * 9 ) = 4 / 9 Answer D

**maths**

That is true for any value of a example: 3 ( x ^ 2 - 2 x ) = 0 has roots 0 and 2 7 ( x ^ 2 - 2 x ) = 0 has roots 0 and 2 39 ( x ^ 2 - 2 x ) = 0 has roots 0 and 2 etc.

**maths**

a is leading coefficient

**maths**

a x ^ 2 + b x + c = a ( x - x1 ) ( x - x2 ) In this case : a x ^ 2 + b x + c = a ( x - 0 ) ( x - 2 ) = a x ( x - 2 ) = a ( x ^ 2 - 2 x )

**trigonometry**

sec x = 1 / cos x sec x - cos x = 1 / cos x - cos x = 1 / cos x - cos ^ 2 x / cos x = ( 1 - cos ^ 2 x ) / cos x ________________________________________ Remark : 1 - cos ^ 2 x = sin ^ 2 x _______________________________________ 1 / cos x - cos ^ 2 x / cos x = ( 1 - cos ^ 2 x...

**math**

an = 2 * n + 1 For n = 1 a1 = 2 * 1 + 1 = 2 + 1 = 3 For n = 2 a2 = 2 * 2 + 1 = 4 + 1 = 5 etc.

**maths**

4 1 \ 6 = 4 + 1 / 6 = 24 / 6 + 1 / 6 = 25 / 6