Show whether the pair of lines is parallel, perpendicular, or neither and indicate which. 2x+3y=4 and 2y=3x+17

Step-by-step explanation:

Hey there!

Here,

The equations are;

2x+3y = 4

2x+3y-4=0..........(i).

2y = 3x + 17

3x -2y +17 =0.......(ii).

Now,

From equation (i).

Put values.

Therefore the slope is-2/3.

From equation (ii).

Put value.

Therefore the slope is 3/2.

For, parallel lines;

m1= m2

-2/3 is not equal to 3/2.

So, they are not parallel lines.

For, perpendicular lines;

m1 × m2 = -1

After simplifying it we get, (-1).

Therefore they are perpendicular to eachother.

Hope it helps...

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110