x^2 - x/5 + 2 = 0
Subtract 2 from both sides.
x^2 - x/5 = -2
Multiply all terms by 5.
5x^2 - x = -10
Add 10 to both sides.
5x^2 - x + 10 = 0
We can now apply the quadratic formula:
1 ± (√ 1 - 200) / 10
1 ± √-199 / 10
1 ± i√199 / 10
<h3><u>The solutions are equal to 1 + or - i times the square root of 199 divided by 10.</u></h3>
There are many ways to solve this. I think the easiest way for this one is to add the equations up.
The you solve that, now that y is gone. You get x=2.
Now plug in x into one of the original equations.
Finish solving, and you get y=8.
The answer is (2,8)
a)
(59, 76) and (65, 100)
y - y1 = m(x - x1)
y - 100 = (100-76)/(65 - 59)(x - 65)
y - 100 = (24/6)(x - 65)
y - 100 = 4(x - 65)
y - 100 = 4x - 260
y = 4x - 160
b)
x = 90
y = 4x - 160
y = 4(90) - 160
y = 360 - 160
y = 200
200 chirps per minute
c)
y = 120
y = 4x - 160
120 = 4x - 160
280 = 4x
x = 70
70 degrees
