Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
The quadratic formula is -b plus minus the square root of b^2-4ac all over 2a.
Here, a=1, b=13, and c=30.
The only option that fills in the values correctly is D
You just need to divide 13 and 2 and get 6.5.
Answer:
y = 2/3x +2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (6-2)/(6-0)
=4/6
=2/3
The slope intercept form of the equation for a line is
y= mx+b
y =2/3 x +b
We know the y intercept is 2 (the y intercept is when x=0)
y = 2/3x +2
1) |−11| = 11, therefore Peter is at a distance of 11 feet
2) Jimmy, because each of the two points is fraction 5 over 8 unit away from 0
3) 36 + 28=64 4x4=36+4x7=28 36+28=64
7+9=16 4x16=64
