Answer:
Distance is 6.7units to the nearest tenth.
Explanation:
To solve this problem, we the distance formula. And this is given as:
We were given the equation:
y = 2 x + 4
This can also be rewritten as:
y – 2 x – 4 = 0.
Therefore, a = -2, b = 1 and c = -4
Also, we were given the points:
(x, y) = (–4, 11)
Making use of the above formula for distance, we have:
D = 6.7units (to the nearest tenth)
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
