Answer:
<em>y</em> = -6<em>x - </em>2
<em>y </em>= <em>x</em> - 12
Step-by-step explanation:
Slope-intercept equation for line of slope <em>m</em> and <em>y</em>-intercept <em>b</em>:
<em>y</em> = <em>mx </em>+ <em>b</em>
A. <em>m</em> = -6, <em>b</em> = -2
<em>y</em> = -6<em>x - </em>2
B. <em>m</em> = 1, <em>b </em>= -12
<em>y </em>= <em>x</em> - 12
4.5 feet. Divide 108 by twelve and you find out that the board is 9 feet long. Half of 9 is 4.5. Therefore, each piece is 4.5 feet long.<span />
To solve this problem you must apply the proccedure shown below:
1. You have the following quadratic equation given in the exercise above:
2x²−6x+1=0
2. The quadratic equation is:
x=[-b±√(b²-4ac)]/2a
Where:
a=2
b=-6
c=1
3. When you substitute these values into the quadratic equation, you obtain:
x=3/2-√(7)/2
x=3/2+√(7)/2
Well, if you disregard the signs for a second, you can work this like a normal equation:
-6 - 12v = 90
-12v = 96
v = 8
Now just reincorporate the less than sign:
v < 8
