Answer:
Step-by-step explanation:
7
6-
Progr
5
4-
Introdu
3
С
2
1+
1
20
Transla
-7 -6 -5 -4
-32
1
À 3 4 5 6 7
-2
-3
Quiz 1
-4+
A
-5
Unit
Do 5 problems
Answer:
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.
Step-by-step explanation:
Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.
Let's begin by factoring 4 out of all three terms:
f(t) = 4 [ t^2 - 2t + 6/4 ]
Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.
(To be continued)
Answer:
(x-4)^2 + (y-5)^2 = 20
Step-by-step explanation:
Rearrange the line equation of 5x - 2y + 6 = 0
So y = 5/2x +3
The y-intercept of the line equation is 3 as when x=0, y=3.
We know the Circle has the formula 
from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:
This simplifies to:
= 
16 + 4 = 20 =
The answer is 20 so the equation of the circle is 
