See the picture, using Pythagorean’s theorem
Answer:
option A
Step-by-step explanation:
The line splits the triangle ABC into two triangles with same base length.
Therefore ,


![[ \ Given : AD = \ CD \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20Given%20%3A%20AD%20%3D%20%5C%20CD%20%5C%20%5D)

Use double angle identity

We can relate '6x' to '3x' in the same way since 6 is 2*3.

Now sub into left side of identity. Simplify until it equals right side.
Answer:
Part 1) 
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute in the linear equation

solve for b

substitute

Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 =7.5
x= 8-3 = 5
k = 7.5/5 = 1.5