# Posts by Bosnian

Total # Posts: 2,638

**math**

The two-point form of a straigth line: y - y1= [ ( y2 - y1 ) / ( x2 - x1 ) ] ? ( x - x1 ) In this case: x1 = - 2 , y1 = - 4 x2 = 1 , y2 = - 3 y - y1= [ ( y2 - y1 ) / ( x2 - x1 ) ] ? ( x - x1 ) y - ( - 4 ) = [ ( - 3 - ( - 4 ) ) / ( 1 - ( - 2 ) ) ] ? ( x - ( - 2 ) ) y + 4...

**Alegbra**

6. - 9 - 6( w + 5 ) = - 9 - 6 ? w - 6 ? 5 = - 9 - 6 w - 30 = - 6 w - 39

**Alegbra**

x / 5 + 6 = 10 Subtract 6 to both sides x / 5 + 6 - 6 = 10 - 6 x / 5 = 4 Multiply both sides by 5 x = 4 ? 5 x = 20

**Math**

For x³ - 5 x² + 6 x - 30 you can use factoring by grouping: x³ - 5 x² + 6 x - 30 = ( x³ - 5 x² ) + ( 6 x - 30 ) = x² ? ( x - 5 ) + 6 ? ( x - 5) = ( x - 5 ) ? x² + ( x - 5 ) ? 6 = ( x - 5 ) ? ( x² + 6 ) Now: Find root of x - 5 x - 5...

**Math**

Fixed Cost = $3.50 Variable Cost = $2.25 per mile x = distance traveled in miles Variable Cost = $2.25 ? x y = Total Cost = Variable Cost + Fixed Cost y = 2.25 x + 3.5

**Math**

L = Large angle S = Smaller angle S = L / 3 S + L = 180° L / 3 + L = 180° L / 3 + 3 L / 3 = 180° 4 L / 3 = 180° 4 L = 3 ? 180° = 540° L = 540° / 4 =135° S = L / 3 = 135° / 3 = 45° Large angle = 135°

**MATH!!!**

It's hard to explain. Because of that in google type: CRUX MATHEMATICORUM Contest Corner Problem CC210 When you see list of results click on: There are exactly two positive integer triples (a , b , c) such that , 25/84 ... and read answer.

**math**

x² + 7 x + 10 = 0 The first term is, x² its coefficient is 1 The middle term is, +7 x its coefficient is 7 The last term, the constantis +10 Multiply the coefficient of the first term by the constant 1 • 10 = 10 Find two factors of 10 whose sum equals the ...

**math;)**

Correction. I forgot altitude. R = r + 185 = 1,737 + 185 = 1,922 x² + y² = R² x² + y² = 1,922² x² + y² = 3,694,084 Answer d.

**math;)**

What is difficult here? Equation of a circle: x² + y² = r² x² + y² = 1,737² x² + y² = 3,017,169 Answer c.

**Math**

16 / 8 = 2 8 / 4 = 2 4 / 2 = 2 What you think?

**Algebra**

3 ½ = 3.5 = 7 / 2 2 foot = 2 ? 12 = 24 in 3.5 / 24 = 36 / x Cross-multiply: 3.5 ? x = 24 ? 36 3.5 x = 864 Divide both sides by 3.5 x = 864 / 3.5 = 864 / ( 7 / 2 ) = 864 ? 2 / 7 = 1728 / 7 = ( 1722 + 6 ) / 7 = 1722 / 7 + 6 / 7 = 246 + 6 / 7 = 246 6/7 in

**math**

Is this an attempt to joke? This is not funny.

**science**

Speed.

**Maths**

Area of circle: A = d² ? / 4 Inner diameter: d1= 12 cm Outer diameter: d2 = d1 + 2 ? thickness d2 = d1 + 2 ? 1 = 12 + 2 = 14 cm Area of ring: A = ( d2² - d1² ) ? ? / 4 A = ( 14² - 12² ) ? ? / 4 A = ( 196 - 144 ) ? ? / 4 A = 52 ? ? / 4 A = 13 ? cm²...

**math**

84 / 3 = 28

**Algebra**

t = 2018 - 2012 = 6 yrs P = 22,300 * 1.11 ^ 6 P = 22,300 * 1.870414552161 P = 41,710.2445131903 P = 41,710 Rounded to nearest fox

**Algebra I**

- x + 2 y = 6 Subtract 2 y to both sides - x + 2 y - 2 y = 6 - 2 y - x = 6 - 2 y 6 y = x + 18 Subtract x to both sides 6 y - x = x + 18 - x 6 y - x = 18 Subtract 6 y to both sides 6 y - x - 6 y = 18 - 6 y - x = 18 - 6y - x = - x 6 - 2 y = 18 - 6 y Add 2 y to both sides 6 - 2 y...

**math**

– 6 w < 84 Divide both sides by - 6 When you mutiply or divide both sides by a negative number the sign changes directions. w > 84 / - 6 w > - 14

**Algebra I**

Straight line Equation in point slope form: y – y1 = m ( x – x1 ) In this case: x1 = - 3 , y1 = - 5 , m = - 2 / 5 y – y1 = m ( x – x1 ) y – ( - 5 ) = ( - 2 / 5 ) [ x – ( - 3 ) ] y + 5 = ( - 2 / 5 ) ( x + 3 ) Subtract 5 to both sides y + 5 - 5...

**Algebra**

m = ( y2 - y1 ) / ( x2 - x1 ) (1) x1 = 1 , x2 = 10 y1 = 7 , y2 = 1 m = ( y2 - y1 ) / ( x2 - x1 ) m = ( 1 - 7 ) / ( 10 - 1 ) m = - 6 / 9 = - 2 ? 3 / 3 ? 3 = - 2 / 3 Answer B (2) x1 = - 5 / 3 , x2 = - 2 y1 = - 1 , y2 = 9 / 2 m = ( y2 - y1 ) / ( x2 - x1 ) m = [ 9 / 2 - ( - 1...

**Math**

Or, simply: an = a1 + ( n - 1 ) d an = 11 + ( n - 1 ) ? 17 an = 11 + 17 n - 17 an = 17 n - 6 a100 = 17 ? 100 - 6 a100 = 1700 - 6 a100 = 1694

**Math**

Arithmetic progression: an = a1 + ( n - 1 ) d a1 = initial term of an arithmetic progression d = common difference In this case: a1 = 11 , d = 17 an = a1 + ( n - 1 ) d a100 = a1 + ( 100 - 1 ) d a100 = a1 + 99 d a100 = 11 + 99 ? 17 a100 = 11 + 1683 a100 = 1694

**algebra**

L = length W = width d =diagonal d = ? ( W² + L²) W = L - 4 d = ? [ ( L - 4 )² + L²] d = L + 4 L + 4 = ? [ ( L - 4 )² + L²] Raise both sides to the power of two. ( L + 4 )² = ( L - 4 )² + L² L²+ 2 L ? 4 + 4² = L² - 2 ...

**Math helppp**

sin ( 8 ? ) - sin ( 10 ? ) = cot ( 9 ? ) [ cos ( 10 ? ) - cos ( 8 ? ) ] sin ( 8 ? ) - sin ( 10 ? ) = [ cos ( 9 ? ) / sin ( 9 ? ) ] ? [ cos ( 10 ? ) - cos ( 8 ? ) ] Multiply both sides by sin ( 9 ? ) sin ( 9 ? ) ? [ sin ( 8 ? ) - sin ( 10 ? ) ] = cos ( 9 ? ) ? [ cos ( 10 ? ) - ...

**Math**

1. x + y - z = 6 + 2 x - y + z = - 9 ______________ 3 x = - 3 Divide both sides by 3 x = - 1 2 x - y + z = - 9 Multiply both sides by - 3 - 6 x + 3 y - 3 z = 27 - 6 x + 3 y - 3 z = 27 + x - 2 y + 3 z = 1 _________________ - 5 x + y = 28 - 5 ? ( - 1 ) + y = 28 5 + y = 28 ...

**Algebra II**

To factor x³ + 8 you must use sum of cubes formula: A³ + B³ = ( A + B ) ( A² - A ? B + B² ) In this case : A = x B = 2 becouse 2³ = 8 So: x³ + 8 = x³ + 2³ x³ + 2³ = ( x + 2 ) ( x² - x ? 2 + 2² ) = ( x + 2 ) ( x&...

**Algebra**

The slope of a straight line : m = ( y1 - y2 ) / ( x1 - x2 ) In this case: x1 = 6 , x2 = 10 y1 = y , y2 = - 1 So: m = ( y1 - y2 ) / ( x1 - x2 ) 1 / 4 = [ y - ( - 1 ) ] / ( 6 - 10 ) 1 / 4 = ( y + 1 ) / ( - 4 ) Multiply both sides by - 4 ( 1 / 4 ) ? ( - 4 ) = y + 1 - 1 = y + 1 ...

**Math**

Difference between Clea estimates and the actual amount: 279.48 - 250.55 = 28.93 percent error = ( 28.93 / 279.48 ) ? 100% = 0.10351367 ? 100% = 10.351367% 10.4% Rounded to the nearest tenth of a percent.

**Maths**

My typo. Curved surface of cylinder: A = 2 r ? ? h Volume of cylinder: V = r² ? ? ? h

**Maths**

Curved surface of area: A = 2 r ? ? h Divide both sides by 2 r ? A / 2 r ? = h 1760 / 2 r ? = h h = 1760 / 2 r ? h = 880 / r ? Volume of area: V = r² ? ? ? h V = r² ? ? ? 880 / r ? V = r ? 880 880 r = V Divide both sides by 880 r = V / 880 = 12320 / 880 = 14 cm h = ...

**shankopal**

It's greater because you want the ground connection to be made first. This reduces the possibility of an electric shock.

**Algebra Help!!**

Multiplying every value by a constant, will multiply median by that constant.

**algebra**

?( 45² + 30² )= ? [ ( 15 ? 3 )² + ( 15 ? 2 )² ] = ? ( 15² ? 3² + 15² ? 2² ) = ? ( 15² ? 9 + 15² ? 4 ) = ? [ ( 15² ? ( 9 + 4 ) ]= ? ( 15² ? 13 ) = ? 15² ? ? 13 = 15 ? 13 ?( 45² + 30² )= 15 ? 13

**algebra**

You're welcome.

**algebra**

- 7 + 9 = 9 - 7 = 2 - 9 + 7 = 7 - 9 = - 2 B. False

**Algebra**

Substitution: k = m + n ( m + n )³ - 3³ = k³ - 3³ Apply the difference of cubes formula: a³ - b³ = ( a - b ) ( a² + a b + b² ) k³ - 3³ = ( k - 3 ) ( k² + k ? 3 + 3² ) = ( k - 3 ) ( k² + 3 k + 3² ) Return to ...

**Algebra**

Substitution: z = x - 2 / 3 ( x - 2 / 3 )² - 16 ( x - 2 / 3 ) + 63 = z² - 16 z + 63 Now you must solve equation: z² - 16 z + 63 = 0 z1/2 = [ - b ± ? ( b² - 4 a c ) ] / 2 a In this case: a = 1 , b = - 16 , c = 63 z1/2 = [ - ( - 16 ) ± ? ( ( - ...

**Algebra**

n x + 8 = 6 y 6 y = n x + 8 Divide both sides by 6 y = n / 6 x + 8 / 6 y = n / 6 x + 2 * 4 / 2 * 3 y = n / 6 x + 4 / 3 SLope = n / 6 n / 6 = 2 Multiply both sides by 6 n = 12

**Algebra**

a > 0 x > ( c - b ) / a a < 0 x < ( c - b ) / a

**Algebra**

a x + b > c Subtract b to both sides a x + b - b > c - b a x > c - b If you multiply or divide both sides of an inequality by a negative number, reverse the direction of the inequality sign. So if a > 0 then: a x > c - b If a < 0 then: a x < c - b

**Math please help**

1. m - 7 < 6 Add 7 to both sides m - 7 + 7 < 6 + 7 m < 13 Answer D 2. n - 8 > 5 Add 8 to both sides n - 8 + 8 > 5 + 8 n > 13 Answer A

**algebra**

-? <-------------------> ?

**Math**

x = Bert's age y = Jeff's age z = John's age Bert is twice as old as jeff mean: x = 2 y This is the same: y = x / 2 John is 4 years younger than Bert mean: z = x - 4 The sum of their ages is 31 mean: x + y + z = 31 Now: x + y + z = 31 x + x / 2 + x - 4 = 31 2 x / 2...

**Algebra**

5 / ( 3 + ? 5 ) Multiply both sides by ( 3 - ? 5 ) 5 ( 3 - ? 5 ) / [ ( 3 + ? 5 ) ( 3 - ? 5 ) ] = 5 ( 3 - ? 5 ) / ( 3 ? 3 + 3 ? ? 5 - ? 5 ? 3 - ? 5 ? ? 5 ) = 5 ( 3 - ? 5 ) / ( 9 + 3 ? 5 - 3 ? 5 - 5 ) = 5 ( 3 - ? 5 ) / ( 9 - 5 ) = 5 ( 3 - ? 5 ) / 4 = 5 / 4 ( 3 - ? 5 ) 5 / ( 3...

**Math**

81 = 27 ? 3 81 - 27 p = 27 ? 3 - 27 p = 27 ( 3 - p ) Answer B In google type: simplifying algebraic expressions you can find many sites

**Math**

The interior angles of a triangle should always add up to 180°. 20° + 60° + 100° = 180° Answer D

**Mathematics**

7 gallons / 161 miles = x gallons / 1 mile 7 / 161 = x / 1 7 / 7 ? 23 = x 1 / 23 = x x = 1 / 23 gallons / mile

**math**

Wall 8 ft by 15 ft. Area of wall: A = 8 ? 15 = 120 ft² Window 3 ft by 4 ft. Area of window: Aw = 3 ? 4 = 12 ft² Area of three windows / Area of wall: 3 Aw / A = 3 ? 12 / 120 = 3 ? 12 / 10 ? 12 = 3 / 10 = 0.3 0.3 ? 100 % = 30 %

**Math**

Factor x² + 2 x + 5: x² + 2 x + 5 = ( x + 1 )² + 4 ? dx / ? ( x² + 2 x + 5 ) = ? dx / ? [ ( x + 1 )² + 4 ] Substitute: ( x + 1 ) / 2 = u x + 1 = 2 u , dx = 2 du ? dx / ? [ ( x + 1 )² + 4 ] = ? 2 du / ? [ ( 2 u )² + 4 ] = 2 ? du / ? ( 4 u²...

**Algebra 1**

5 x - 6 y = 12 Subtract 5 x to both sides 5 x - 6 y - 5 x = 12 - 5 x - 6 y = 12 - 5 x - 6 y = - 5 x + 12 Divide both sides by - 6 y = - 5 x / - 6 + 12 / - 6 y = 5 / 6 x - 2

**Math**

x = 0.7777... 10 x = 10 ? 0.7777... = 7.7777... 10 x - x = 7.7777... - 0.7777... 9 x = 7 Divide both sides by 9 x = 7 / 9

**Math**

1) If they are consecutive one must be even and the other odd. The only even prime is 2. So there cannot be another consecutive pair of primes. 2) Odd. The only even prime number is 2. Other prime numbers: 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 ,37 , 41 , 43... All of ...

**Math**

45 861

**Math**

a) The only such numbers are the powers of 2: 2¹ = 2 2² =4 2³ = 8 2? = 16, 2? = 32 2? = 64 2? = 128 2? = 256 and 2? = 512 All other numbers are either non-prime or, if prime, are not divisible by 2. b) 2¹? =1024 Because all the numbers between 1 and 1000 ...

**Mathematics**

5 x + 35 = 5 ? x + 5 ? 7 = 5 ( x + 7 )

**Math**

4 - 5 ( x + 8 ) = 4 - 5 ? x - 5 ? 8 = 4 - 5 x - 40 = - 5 x - 36 5 x + 6 ( x - 2 ) - 8 ( x - 3 ) = 5 x + 6 ? x + 6 ? ( - 2 ) - 8 ? x - 8 ? ( - 3 ) = 5 x + 6 x - 12 - 8 x + 24 = 3 x + 12 x + 8 < - 28 x + 8 - 8 < - 28 - 8 x < - 36

**Geometry**

Use Pythagorean theorem to find the value of a. a² + b² = c² The diagonal is the hypotenuse c. Since a and b are equal, we consider them as a. a² + a² = c² 2 a² = c² 2 a² = ( 16?2 )² 2 a² = 16² ? ( ?2 )² 2 a²...

**Math**

1 / tan ? = cot ? - sec ? + sec ? = 0 So: tan ? - sec ? + 1 / tan ? + sec ? - 1 = tan ? + cot ? - 1 What is your question?

**Algebra**

25 cents = $ 0.25 32 cents = $ 0.32 m = numbers of miles U- Haul rental = $35 + $ 0.25 m Budget Rental = $25 + $ 0.32 m $35 + $ 0.25 m < $25 + $ 0.32 m 35 + 0.25 m < 25 + 0.32 m 35 - 25 < 0.32 m - 0.25 m 10 < 0.07 m 10 / 0.07 < m 142.86 < m m > 142.86 miles

**Math**

50 ( 2x - 5 )² - 162 ( 3y - 2 )² Make the following substitutions: k = 2x ? 5 m = 3 y ? 2 The expression can be rewritten as: 50 ( 2x - 5 )² - 162 ( 3y - 2 )² = 50 k² - 162 m² = 2 ( 25 k² - 81 m² ) Apply difference of squares: ?²...

**Math**

a1 = the initial term of an arithmetic progression d = the common difference of successive members nth term of the sequence: an = a1 + ( n - 1 ) ? d In this case: a4 = 11 a4 = a1 + ( 4 - 1 ) ? d a4 = a1 + 3 d 11 = a1 + 3 d a8 = 2 a4 + 5 a8 = 2 ? 11 + 5 = 22 + 5 = 27 a8 = a1...

**Math**

a = first integer b = second integer a + b = 2 a = 2 - b a - b = 8 2 - b - b = 8 2 - 2 b = 8 - 2 b = 8 - 2 - 2 b = 6 b = 6 / - 2 b = - 3 a = 2 - b a = 2 - ( - 3 ) a = 2 + 3 a = 5

**Math**

If you think what is half between 2 / 3 and 3 / 4 Then: Half the distance between these 2 points: [ 3 / 4 - 2 / 3 ] / 2 = [ 3 ? 3 / 4 ? 3 - 2 ? 4 / 3 ? 4 ] / 2 = ( 9 / 12 - 8 / 12 ) / 2 = ( 1 / 12 ) / 2 = 1 / 2 ? 12 = 1 / 24 1 / 24 is half the distance between these 2 points ...

**precalc**

Steve solve for x mean SOLVE for x Just say: x = - 7 is not enough. I showed the way to the solution.

**precalc**

Your answer is correct. ( - 2 )? = - 1 / 128 Multiply both sides by 128 128?( - 2 )? = - 1 Raise both sides to the power 2 128²?[ ( - 2 )² ]? = ( - 1 )² 128 = 2? , ( - 2 )² = ( 2 )² , so: (2?)²?(2²)? = 1 _______________________________ Remark...

**Math**

My typo: 5 x - 3 y + 5 z = - 1 NOT Multiply both equation by 3 5 x - 3 y + 5 z = - 1 Multiply both sides by 3 15 x - 9 y + 15 z = - 3

**Math**

3 x + 2 y + 4 z = 11 2 x - y + 3 z = 4 5 x - 3 y + 5 z = - 1 3 x + 2 y + 4 z = 11 Multiply both sides by 5 15 x + 10 y + 20 z = 55 5 x - 3 y + 5 z = - 1 Multiply both equation by 3 15 x - 9 y + 15 z = - 3 15 x + 10 y + 20 z = 55 - 15 x - 9 y + 15 z = - 3 ____________________ ...

**College Algebra**

wolframalpha.c o m

**College Algebra**

8 x + 5 ( x + 5 ) ? 2 x + 58 8 x + 5 ? x + 5 ? 5 ? 2 x + 58 8 x + 5 x + 25 ? 2 x + 58 13 x + 25 ? 2 x + 58 13 x - 2 x ? 58 - 25 11 x ? 33 11 x / 11 ? 33 / 11 x ? 3 x ? ( 3 , ? ) If you want go on: wolframalha.c o m When page be open type: 8 x + 5 ( x + 5 ) ? 2 x + 58 and click...

**math**

10w - 8 + 6 - 4w = 6 w - 2 2 ( 3 w - 1 ) = 2 ? 3 w + 2 ? ( - 1 ) = 6 w - 2 Correct ( 6 w + 3 ) + ( 2 w - 7 ) = 6 w + 3 + 2 w - 7 = 8 w - 4 Incorrect 6w - 2 = 6w - 2 Correct ( 11 w - 1 ) - ( 5 w + 3 ) = 11 w - 1 - 5 w + 3 = 6 w + 2 Incorrect 3 w + 7 + 3 w - 9 = 6 w - 2 Correct ...

**math**

4 ( n + 8 ) ? - 4 4 ? n + 4 ? 8 ? - 4 4 n + 32 ? - 4 Subtract 32 to both sides 4 n + 32 - 32 ? - 4 - 32 4 n ? - 36 Divide both sides by 4 n ? - 36 / 4 n ? - 9

**Math**

Perimeter of wheel: P = 2 r ? P = 2 ? 40 ? 3.1416 P = 251.328 in 1 mile = 63 360 inches 63 360 / 251.328 = 252.1 approx.252 By the way. Wheel has a RADIUS of 40 inches. Is it too much?

**Algebra**

( 1 / 4 ) in ? 4 = 1 in 1 ft ? 4 = 4 ft 1 inch represents a distance of 4 foot. 8 1/2 in = 8.5 in 8.5 ? 4 = 34 8.5 inches represents a distance of 34 foot. OR ( 1 / 4 ) / 1 = 8.5 / x 1 / 4 = 8.5 / x Multiply both sides by 4 1 = 8.5 ? 4 / x 1 = 34 / x Multiply both sides by x x...

**Math**

Your answer is correct. 1 min = 60 sec $12800 / 60 sec = $213.33 / sec

**College Algebra**

My typo. Sorry. z ? ( - ? , - 1 ]

**College Algebra**

11 z + 3 ( z - 1 ) ? 4 z -13 11 z + 3 ? z + 3 ? ( - 1 ) ? 4 z -13 11 z + 3 z - 3 ? 4 z -13 14 z - 3 ? 4 z -13 Subtract 4 z to both sides 14 z - 3 - 4 z ? 4 z -13 - 4 z 10 z - 3 ? -13 Add 3 to both sides 10 z - 3 + 3 ? -13 + 3 10 z ? -10 Divide both sides by 10 z ? -1 Interval ...

**Math**

Point P partitions segment AB in a m:n ratio. Use Section rormula. If point P partitions AB in a m:n ratio, then the coordinates of point P are: x coordinate = ( m ? x2 + n ? x1 ) / ( m + n ) y coordinate = ( m ? y2 + n ? y1 ) / ( m + n ) In this case: x1 = 0 , x2 = 3 , y1 = 0...

**College Algebra**

12 x + 4 ( x - 3 ) < 3 x + 53 12 x + 4 ? x + 4 ? (- 3 ) < 3 x + 53 12 x + 4 x - 12 < 3 x + 53 16 x - 12 < 3 x + 53 16 x - 3 x < 53 + 12 13 x < 65 x < 65 / 13 x < 5 x ? ( - ? , 5 ]

**College Algebra**

x ? ( 5 , ? )

**Algebra**

14 - ( 12 / 3 + 5 ) • 8 = - 58 ____________________ Explanation: 14 - ( 12 / 3 + 5 ) • 8 = 14 - ( 4 + 5 ) • 8 = 14 - 9 • 8 = 14 - 72 = - 58 ____________________

**Mathie mathie mathie**

2 x - 7 y = 3 Add 7 y to both sides 2 x - 7 y + 7 y = 3 + 7 y 2 x = 3 + 7 y Subtract 3 to both sides 2 x - 3 = 3 + 7 y - 3 2 x - 3 = 7 y 7 y = 2 x - 3 Divide both sides by 7 y = ( 2 / 7 ) x - 3 / 7 Slope = 2 / 7 You also write this function like: y = ( 1 / 7 ) ( 2x - 3 ) Now: ...

**Math**

x + x + x + x + x = 40 5 x = 40 Divide both sides by 5 x = 40 / 5 x = 8 5 digit number = 8 8 8 8 8

**math**

V = A ? h V = Volume of a circular cylinder A = Area of a base h = height In this case: A = d²? ? / 4 so: V = A ? h V = ( d²?? / 4 ) ? h V = 2160 cm³ d = 24 cm 2160 = ( 24²? ? / 4 ) ? h 2160 = ( 576 ? ? / 4 ) ? h 2160 = 576 ? ? h / 4 Multiply both sides by ...

**math**

The two-point form of a straigth line: y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] · ( x - x1 ) In this case : x1 = 2 , y1 = 8 x2 = 1 , y2 = 5 So: y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] · ( x - x1 ) y - 8 = [ ( 5 - 8 ) / ( 1 - 2 ) ] · ( x - 2 ) y - 8 = [ ( - 3...

**Math**

The median and the mode are the same for this set of data. The mode is the number that is repeated more often than any other. In this case 12 repeated 27 times. So 12 is the mode. The ?median is the middle value in a data set. There are 28 numbers in the list, so the middle ...

**Maths**

56 / 70 = 7 * 8 / 7 * 10 = 8 / 10 = 4 * 2 / 10

**Precalculus 11**

y = f ( x + h ) translated left h units In this case: f ( x + 4 ) = ( x - 3 + 4 )² - 7 = ( x + 1 )² - 7 y = f ( x ) + k translated up k units In this case: f ( x + 4 ) + k = f ( x + 4 ) - 7 + 5 = ( x + 1 )² - 7 + 5 = ( x + 1 )² - 2 y = ( 1 / m )· f...

**calculus**

Of course in this case you can write: The average rate of change = ( h2 - h1 ) / ( t2 - t1 ) t1 = ? / 4 t2 = 3 ? / 4 h1 = cot ( ? / 4 ) = 1 h2 = cot ( 3 ? / 4 ) = - 1 ( h2 - h1 ) / ( t2 - t1 ) = ( - 1 - 1 ) / ( 3 ? / 4 - ? / 4 ) = - 2 / ( 2 ? / 4 ) = ( - 2 / 1 ) / ( 2 ? / 4...

**calculus**

The average rate of change = ( y2 - y1 ) / ( x2 - x1 ) a.) x1 = ? / 4 x2 = 3 ? / 4 y1 = cot ( ? / 4 ) = 1 y2 = cot ( 3 ? / 4 ) = - 1 ( y2 - y1 ) / ( x2 - x1 ) = ( - 1 - 1 ) / ( 3 ? / 4 - ? / 4 ) = - 2 / ( 2 ? / 4 ) = ( - 2 / 1 ) / ( 2 ? / 4 ) = - 2 ? 4 / 1 ? 2 ? = - 4 / ? b.) ...

**College Algebra**

V = Volume of 7% salt solution = 32 ounces s = Volume of salt in 7% salt solution w = Volume of wather 7% salt solution s = 7 % of 32 = ( 7 / 100 ) ? 32 = 0.07 ? 32 = 2.24 ounces Volume of water in 7% salt solution: w = 93 % of V = 93 % of 32 = ( 93 / 100 ) ? 32 = 0.93 ? 32 = ...

**algebra**

The length of a rectangle is one unit shorter than one-sixth of the width, x mean: L = W / 6 - 1 P = 2 L + 2 W = 2 ( L + W ) P = 2 [ W / 6 - 1 + W ] = 2 [ W / 6 - 1 + 6 W / 6 ] = 2 ( 7 W / 6 - 1 ) = 2 ? 7 W / 6 - 2 ? 1 = 2 ? 7 W / 2 ? 3 - 2 = 7 W / 3 - 2 = 7 W / 3 - 2 ? 3 / 3...

**math**

Combinations: 1 c = 1 c 2 c = 2 c 3 c = 1 c + 2 c 4 c = 2 c + 2 c 5 c = 5 c 6 c = 1 c + 5 c 7 c = 1 c + 2 c 8 c = 1 c + 2 c + 5 c 9 c = 2 + 2 c + 5 c Prices 1c to 9c she can cover with the minimum number of coins: 1 x 1c , 2 x 2c and 1 x 5c 10 c = 10 c 20 c = 20 c 30 c = 10 c...

**math sequence**

a(1) = 1 a( n + 1 ) = 3 a ( n ) - 1 = 0 a ( n + 1 ) = 3 a ( n ) - 1 a ( 0 + 1 ) = 3 a ( 0 ) - 1 a ( 1 ) = 3 a ( 0 ) - 1 1 = 3 a ( 0 ) - 1 Add 1 to both sides 1 + 1 = 3 a ( 0 ) - 1 + 1 2 = 3 a ( 0 ) Divide both sides by 3 2 / 3 = a ( 0 ) a ( 0 ) = 2 / 3 n = 1 a ( n + 1 ) = 3 a...

**Algebra**

10 ft / 7 mi = 7 ft / w 10 / 7 = 7 / w 10 w = 7 * 7 10 w = 49 w = 49 / 10 = 4.9 w = 4.9 mi

**Math**

( v + 6 )² - 40 = 0 Add 40 to both sides ( v + 6 )² - 40 + 40 = 0 + 40 ( v + 6 )² = 40 v + 6 = ± ? 40 v + 6 = ± ?4 ? ?10 v + 6 = ± 2 ?10 Subtract 6 to both sides v + 6 - 6 = ± 2 ?10 - 6 = ± 2 ( ?10 - 3 ) The solutions are: v...

**algebra**

cos x - 1 / 2 x can't lies in the third quadrant. Go on: wolframalpha . c o m an type cos x - 1 / 2 x you will see graph

**math**

The first term is the product of 1 and 2, the second term is product of 2 an 3, the third trm is product of 3 and 4, the fourth term is product of 4 and 5, the fift term is product of 5 and 6 etc. 2 = 1 x 2 6 = 2 x 3 12 = 3 x 4 20 = 4 x 5 30 = 5 x 6 42 = 6 x 7 56 = 7 x 8 72 = ...

**Math**

( - 2 ) ? ( - 4 ) - 2 ? ( - 6 x ) = - 10 + 3 x 8 + 12 x = - 10 + 3 x You make mistake when you subtraced - 10 to both sides. You must add 10 to both sides. 8 + 12 x + 10 = - 10 + 3 x + 10 18 + 12 x = 3 x 12 x - 3x = - 18 9 x = - 18 x = - 18 / 9 = - 2

**Math**

- 2 ( - 4 - 6 x ) = - 10 + 3 x ( - 2 ) ? ( - 4 ) - 2 ? ( - 6 x ) = - 10 + 3 x 8 + 12 x = - 10 + 3 x Subtract 3 x to both sides 8 + 12 x - 3 x = - 10 + 3 x - 3 x 8 + 9 x = - 10 Subtract 8 to both sides 8 + 9 x - 8 = - 10 - 8 9 x = - 18 Divide both sides by 9 x = - 18 / 9 x = - 2