Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer=875miles 17.5miles per gallon
350miles x miles
________=_________
20gallons 50gallons
cross multiply
20x=17500
divide both sides by 20
x=875
875 miles can be traveled with 50 gallons of gas.
To find gas milage, which is essentially miles per gallon, simply divide the number of miles by the number of gallons
350miles 20gallons
350/20=17.5 miles per gallon
Answer:
A
Step-by-step explanation:
One thing to note is that the side opposite to the angle is taken as perpendicular
If we take 57 as angle then it's opposite side is perpendicular
While if we take 33 as angle x is the perp
Answer:
False
Step-by-step explanation:
You are 1 unit more than the whole.
