Answer:f(x)=−4(x2−6x+9−9)−29
(x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's the equation we got by completing the square.
y=a(x−h)2+k
That's the formula of a parabola in "vertex" form. Notice the similarity? The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, −4(x − 3)2 + 7; The maximum height of the water is 7 feet.hopes this helps
The equation of circle with the center at (h,k) is:
r stands for radius. Therefore r^2 = diameter or 2×radius.
The question has already given the information we need, which are:
- radius = 4
- the center at (0,8)
Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).
Substitute the values in the equation:
Simplify to the simplest form
Answer
- The equation of a circle is x^2+(y-8)^2 = 16
Answer:
4/10
Step-by-step explanation:
0.4 is said by "four-tenths." Fractions are also said the same way. Notice how there is a four and a ten. This should be easier to help you make decimals in fraction form. The four would be the numerator and the ten would be the denominator, making the final answer 4/10.
Answer: B.) Never.
Step-by-step explanation:
