Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:
• If D>0, the roots are real and unequal.
,
• If D=0, the roots are real and equal.
,
• If D<0, the roots are complex.
In our given equation:
For the function to have exactly one zero, the value of D=0.
The value of m for which the function will have one zero is 12.
The answer is 12 ÷ 3
Step-by-step explanation:
12 ÷ 3
4
L=2w+6
260=lw
Substitute for l
260=w(2w+6)
260= 2w^2+6w
2w^2+6w-260=0
2(w^2+3w-130)
2(w+13)(w-10)
w=-13, w=10
Since width cannot be negative it must be 10
260=l(10)
26=l
Final answer: length-26 ft, width-10ft
In this equation you can eliminate the x value
multiply the second equation by -2 and you get:
-2x - 2y = -10
when you add the two equations the x factors will cancel
2x + 3y = 6
- 2x - 2y = -10
---------------------
y = 16
you can find the x value by plugging the y value that you now know into one of the equations that you started off with.
