The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer:
y-4=-10(x-1)
Step-by-step explanation:
Point-slope form is:
We are given the slope of -10 and the point (1,4). So:
m = -10
x1 = 1
y1= 4
Replace the appropriate values:
So, y-4=-10(x-1) should be the point-slope equation.
We can first convert 9.5 into fraction :
9.5= 9 1/2
Then we can use deduction to find out the answer:
9 1/2 - 6 1/3
=19/2 - 19/3
We change it to the same denominator:
=19×3/6 - 19×2/6
= 57/6 - 38/6
= 19/6
Therefore there are 19/6 or 3 1/6 gallons left in the tank.
Hope it helps!
Answer:
97°
Step-by-step explanation:
you do 
and then 
which is the total sum of the two unknown vertical angles. once you have that, divide it by 2 to get 
as the measure of each individual unknow vertical angle
