Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± 
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
1,800,000
Step-by-step explanation:
Answer:
x=-19 x=30
Step-by-step explanation:
-5x-15=-3x+23
-23 -23
-5x-38=-3x
+5x +5x
-38=2x
/2 /2
-19=x
-107-7x=73-13x
-73 -73
-180-7x=-13x
+7x +7x
-180=-6x
30=x
Answer:
y = 1/2 x
Step-by-step explanation:
We have the slope of 1/2 and a point of (4,2)
We can use point slope form
y-y1 = m(x-x1)
y-2 = 1/2(x-4)
Distribute
y-2 = 1/2x -2
Add 2 to each side
y-2+2 = 1/2 x -2+2
y = 1/2 x
This is in slope intercept form
In order for it to be a rectangle all four angels have to be 90 so:
13x+34+10x+10=90
23x=46
X=2
