A line is defined by the equation y=2/3x-8. The line passes through a point whose y- coordinate is 0. What is the x-coordinates of this point?

12

Step-by-step explanation:

Equation of the line:

              y = - 8 ;

In slope intercept format, the equation of a line is :

          y = mx + c

If the y-coordinate is 0;

          0 =   - 8

Add 8 to both sides;

        8 =  

        24 = 2x

         x = 12

The x coordinate when y= 0 is 12.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5