a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the line.

Step-by-step explanation:

The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:

General form of a line:

Point:

Distance:

Convert the equation:

    |subtract from both sides

   |multiply both sides by 3

Coordinates of the point:

substitute:

   |multiply both sides by

  |divide both  sides by 3

Finally:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

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