+2y = 2
( 2x + 4y = -8

Step-by-step explanation:

4

y

=

2

−

2

x

⇒

y

=

1

2

−

1

2

x

Now we need to plot two or three points that lie on the line:

We need to find  

y

at some  

x

values:

At  

x

=

1

,  

y

=

1

2

−

(

1

2

⋅

1

)

=

1

2

−

1

2

=

0

At  

x

=

−

1

,  

y

=

1

2

−

(

1

2

⋅

−

1

)

=

1

2

+

1

2

=

1

Hence these are two points that lie on the line:

(

1

,

0

)

and  

(

−

1

,

1

)

enter image source here

Hence connecting them up to give a line:

enter image source here

Now we can do this whole procces for the second line, graphing them on the same graph we see:

enter image source here

They are the same line!  

−−−−−−−−−−−−−−−−−−−−−  

When we deal with these roblems, the solution is where the lines intersect, where they meet

They meet at all points, as they are the same:

The solutions to this system is all the points that lie on

→

2

x

+

4

y

=

2

Answer link

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.