CPhill

The line is not solid....so  we will have either   a    <   or >    inequality

Two points crossed by  the "line"  are   (-3,0) and (0, -5)

Slope =  [ -5 -0 ] /[ 0 - -3]  =   -5 / 3

Using  (0, -5)  the equation of the inequality  is either

y  > (-5/3) ( x)  - 5    or   y < (-5/3)x - 5

(0,0) is not in  the shaded area and it satisfies  y > (-5/3)x - 5

So.....the other equation is  correct

y < (-5/3)x -5            (multiply through by 3)

3y  < -5x - 15

5x + 3y <  -15

Here's a similar problem answered by Alan : https://web2.0calc.com/questions/please-help_63707

Here's a similar problem :

https://web2.0calc.com/questions/inequality_131

The shortest altitude will be drawn to the longest side

Using Heron's formula, the semi-perimeter  =  [ 9 + 10 + 15 ] /  2     =  17 

The area =     sqrt [ 17 * (17 - 9) * (17 -10) * (17 -15) ] =  sqrt [ 17 * 8 * 7 * 2 ]  =

sqrt [ 1904]

So  area  =  (1/2) (AB) (altitude drawn to AB)

sqrt [ 1904]  = (1/2)(15) ( altitude drawn to AB)

sqrt [ 1904] / 7.5  = altitude drawn to AB  ≈  5.82 

                            A  60

                           24

              B           D            C

If  BAC  is 60°  and  AD is a bisector of  BAC, then angle  CAD  must = 30°, not 45° 

Total minutes  = Total minutes

4 * 40 =  x *  20

160  = 20x

160 / 20   =  8   min

A =  1  * 4/6   =  2/3

B =  1536

C = (1/8) (1/25)  = 8 / 25

D =  (-4/2) *( - 1*(-8) )  =  -2 * (8)  = -16

E = 3 * sqrt 2 *   4* (1/4) =   3 sqrt (2)  * 1   =  3 sqrt 2

D , C , A, E , B

                 A

         6

      B         8        C  135

Impossible because the greatest angle would be opposite the greatest side

But  the triangle is  obtuse so  ACB  IS  the greatest angle, but it is NOT opposite the greatest side !!

Each member paints   100 / (10 * 10)   =  1 sq ft per minute

So  15 will paint 15 sq ft in a minute

So  15 will take

100 / 15  =   20 / 3   =     6 + 2/3 min  =   6 min 40sec

Each member   must paint    1000 / (10 * 10)  =  1000 / 100  =  10sq ft per minute

So......5 members take

1000 / ( 5 * 10)  =   1000 / 50  =   20 min

Another way to see this is that 5 members must take  twice as long as  10 members !!!!