Answer:
radius 4
center (3,6)
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
x² + y²- 6x - 12y +29=0
x² - 6x + y²- 12y +29=0
(x² - 6x) + (y²- 12y) +29=0
complete the square
(x² - 6x) + 9 + (y²- 12y) +36 +29= + 9 +36
(x² - 6x + 9) + (y²- 12y + 36) = + 9 +36 -29
(x-3)^2 + (y-6)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
center (3,6)
radius 4
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Answer:
A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?
Answer:
y = 9/b
Step-by-step explanation:
by = 9 solved for b yields y = 9/b.
Answer:
1/4 is the number
a.k.a. 0.25
Step-by-step explanation:
Replace the words "a number" with x
4x + 2 = 3
Then, simplify
4x = 1
x = 1/4
Our discriminant is 0 so,
has one real root.
Option C is correct.
Step-by-step explanation:
we need to find the discriminant and the number of real roots for the following equation:

The discriminant is found by using square root part of quadratic formula:

where b =12, a=4 and c=9
Putting values:

To find out the number of real roots using discriminant we have following rules:
- if discriminant b^2-4ac >0 then 2 real roots
- if discriminant b^2-4ac =0 then 1 real root
- if discriminant b^2-4ac <0 then no real roots
Since our discriminant b^2-4ac is 0 so,
has one real root.
Option C is correct.
Keywords: discriminant
Learn more about discriminant at:
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