find the slope of the line that passes through (-5,3) and (-1,-9) m = (-9-3)/(-1 --5) = -12/4 = -3 a perpendicular line has a slope that is the negative reciprocal of the slope found with the two points slope of perpendicular...

find the slope of the line that passes through (-5,3) and (-1,-9) m = (-9-3)/(-1 --5) = -12/4 = -3 a perpendicular line has a slope that is the negative reciprocal of the slope found with the two points slope of perpendicular...

5(x + 3) =8x - 6 5x + 15 = 8x - 6 5x + 21 = 8x 21 = 3x x = 7

= (1 4/9) (9000) = (13/9)(9000) = 13,000 ft

Ana's rate per hour = 5 products/4 hours =5/4 Boy's rate per hour = 5 products/ 2 hours = 5/2 x=hours it takes them working together to complete 15 5/4(x) + 5/2(x) = 15 5x/4 + 10x/4 = 15 15x/4...

Create ordered pairs from the data given (4,400) = (x1, y1) (5,450) = (x2, y2) slope = (y2-y1)/(x2-x1) = (450-400)/(5-4) = 50/1 = 50 Now use point slope equation (y-y1) =...

breadth or width = x length = 2x (x)(2x) = 578 2x2 = 578 x2 = 289 x = 17 breadth = 17 length = 34

distance formula = √(x2-x1)2 +(y2 -y1)2 You would have to use this formula 3 times for WX: √(-3-4)2 +(-2 --6)2 = √49 + 16 = √65 ≅ 8.1 for XY: √(4 - -3)2 + (3- -2)2 =√49 + 25 = √74 ≅ 8.6 for...

distance formula = √(x2-x1)2 +(y2 -y1)2 = √(-8 - 3)2 + (3 --4)2 =√(-11)2 + (7)2 =√121 + 49 = √170 =approx 13.04 = 13.0 to the nearest tenth

If Tessa made 150 each day, she earns $320 for the week If she makes over 175 in one day, she earns $3 for each one over 175 The extra she earned last week = $515 - $320 = $195 so $195 ÷ $3 = 65 she made 65 bracelets over 175 last...

if you're asking how much to pay for a product so you can sell it at a 45% markup and that price will be $85 then this is how to solve: x(1.45) = 85 divide both sides by 1.45 $58.62

her average velocity wlll be the total distance/total time calculate the distance traveled during each of the three parts going 20 m/s for 30 seconds = (20)(30) = 600 meters going 40 m/s for 60 seconds = (40)(60) = 2400 meters going...

her total miles = 16 + 3 + 22 + 7 = 48 she ran 16 miles the part of the total = 16/48 reduce this by dividing numerator and denominator by 16 = 1/3

40% of the people receiving the questionnaire wil not throw it out (2/3)(.40) will fill it out (2/3)(2/3)(.40) will then mail it x = the number of people on the mailing list (4/9)(.4)(x) = 2560 (4/9)(x) = 6400 4x...

let x = the top base x + 4 = the bottom base x + 2 = the altitude area of a trapezoid = (1/2)(top + bottom)(altitude) 100 = (1/2)(x + x + 4)(x + 2) 100 = (1/2)(2x + 4)(x + 2) 100...

x = the amount of first type (which is $5.20 per pound) $5.20 times the amount of that type + $5.80 times 5 pounds = a mix of (5 + x) pounds that costs $5.35 (5.20)x + (5.80)(5) = (5.35)(x + 5) 5.20x + 29.00 = 5.35x + 26.75 5...

10% of 400 pounds is 40 pounds so there's 40 pounds of salt in the solution total amount of solution new 16% = x 16% of the new solution is equal to the 40 pounds of salt (.16)(x) = 40 x = 40/.16 x = 250 if...

A∪B = A + B - A∩B {a,c,d,1,2,4} = {a,c,1,2} + B - {c,1,2} B = {c,d,1,2,4} B' = elements of U that aren't in B B' ={a,b,3} you might get another tutor's input if this isn't clear

sum of interior angles of a polygon = (n-2)(180) when you have a regular polygon, you can divide this sum by the # of angles to get the measure of one interior angle for a regular HEXAGON: sum of the interior angles = (6-2)(180) = 4(180) = 720° one...

use -6 to represent losing 6 yards use -5 to represent losing 5 yards add these together (-6) + (-5) = -11 when adding two negative values, make sure your sum is negative

let x = the amount of money Joel has to start with = the amount of money he spent altogether cost of shirt = 3x/4 cost of towel = x/4 cost of shirt = 60 more than the towel 3x/4 = 60 + x/4 multiply through by 4 3x...