Answer:
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.
Step 1: x2 +4x= 6
Step 2: x2 +4x+4=6+4
Step 3: (x +2)^2=10
What are the next 3 steps?
we have
step 4
Take square root both sides
step 5
Simplify
step 6
Solve for x
subtract 2 both sides
Answer:
a) y =2/3 x + 7.
b) x = -1
c) y = -4/5 x - 1/5
d) y = -3/2 x + 5/2.
Step-by-step explanation:
a) Intercept form y = mx + b where m = 2/3 and b = 7
b) y can take any value but x is always -1.
c) Slope m = (-1-3)/ (1 - -4)
= -4/5
Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:
y - y1 = m(x - x1)
y - -1 = -4/5(x - 1)
y + 1 = -4/5x + 4/5
y = -4/5 x - 1/5
d) The slope m of the line perpendicular to this line is:
-1 / 2/3
m = -3/2.
When x = -1 , y = 4 so using the slope intercept form of a line
y = mx + b
4 = -3/2 * -1 + b where b = the y-intercept.
4 = 3/2 + b
b = 4 - 3/2 = 5/2.
The equation is y = -3/2 x + 5/2.
7x (2x^2 - 3) is your answer my dude/lady
