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:
y = 10-2x
Step-by-step explanation:
2x+y=10
y=10-2x
Answer: 73.5
Step-by-step explanation:
The percent <em>33 1/3% </em>represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
One hundred hundredths make up one whole.
1a) 8 / (1/2) = 16 * 3 = 48
1b) 3sqrt(49) = 3 * 7 = 21
1c) (5+2)(-8) / (-2)^3 -3
(7*-8) / (-8 -3)
-56/-11
56/11
