Straight Math
Find the equation of the line through the origin and (14,6), in standard form
3x-7y=0
(6 x 10-23)(2.25 x 109)
1.35 x 10-13
12x2 -29x - 8
(3x-8)(4x+1)
sqrt(72) - sqrt(8)
How much of an 8% HCl solution and a 20% HCl solution must be combined to obtain 600 ml of 10% solution?
500 ml of 8%, 100 ml of 20%
Solve:
{ 4x-y=-8
{ 2x+2y=6
(-1,4)
(1 /(-2x-4))-5
125x3 + 64y3
(5x+4y)(25x2-20xy+16y2)
sqrt( 2700x12y2)
30x6|y|sqrt(3)
Olive read 200 pages of a book. Then, she read 30% of the remaining pages. There were 315 pages remaining. How many pages total are in the book?
650 pages
Find the equation of the line perpendicular to 2y+4x=8 which has x-intercept (12,0)
y=(1/2)x-6
((-20)3(-30)4) / ((106)(64))
-5
(6-2x)2- 4(x+3)2
-48x
(sqrt(75) - sqrt(27))2
12
Nicole and Aneesa had some marbles in the ratio 5:3, respectively. If Aneesa gave Nicole 4 marbles, then the ratio of Nicole's to Aneesa's numbers would be 3:1. How many marbles total are there?
32 marbles total.
Solve
{0.25y = 1-0.5x
{-2y-4x = -2
{(x,y) | y+2x=1} (Same line)
(1 - x-2) / (x-2 - x-1)
-x-1
(0.4x − 0.7)(5x)(0.7 + 0.4x)
0.8x3-2.45x
4 / (sqrt(8))
sqrt(2)
A rectangle has perimeter 82 m. Its area is 180 m2. What are the dimensions of the rectangle?
5 x 36 m
Find k such that
{kx+18y = -6
{0.5x+ky=1
Has no solutions
k=3
(1/256)(-3/4)
64
80x3y+6x2y2-2xy3
2xy(8x-y)(5x+y)
sqrt( 12 + sqrt(108))
3 + sqrt(3)
A rocket ship whose speed in still air is 760 m/s can travel 2000 m with the wind in the same amount of time that it takes to fly 1800 m against the wind. What is the speed of the wind?
40 m/s