The value of k is (A) 20/3.
<h3>
What is a parabola?</h3>
- A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
- It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
- A point and a line are two ways to describe a parabola.
To find the value of k:
Where (a, b) is the vertex and c is the constant.
- (a, b) = (-4, k)
- y - k = c (x - (- 4))²
- y - k = c (x + 4)²
So,
- x = 0, y = 12
- 12 - k = 16c
- k = 12 - 16c ...... (1)
Then,
- (-3, 7) = (x, y)
- 7 - k = c (1)²
- k = 7 - c ...... (2)
Now,
- 12 - 16c = 7 - c
- 12 - 7 = 16c - c
- 5 = 15c
- c = 5/15 = 1/3
So, the value of k:
- k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3
Therefore, the value of k is (A) 20/3.
Know more about a parabola here:
brainly.com/question/4061870
#SPJ4
The complete question is given below:
The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?
(A) 20/3
(B) 16/5
(C) 14/3
(D) 12/5
Answer:
you can say he bought 2 small notebooks and 4 big notebooks
Step-by-step explanation:
we have 52 dollars here
so if we have 4 large notebooks that will cost 40 dollars and if we have 2 small notebooks on addiction to that, that will cost 12 more dollars
now adding up 40 and 12 we get $52 !
Answer:
330
Step-by-step explanation:
When we are at 30 degrees on the unit circle, we are at the point (
/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (-/2, -1/2).
Note: (cosine, sine)
Answer:
there’s nothing there
Step-by-step explanation:
