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
To find the price per pound, simply add 0.65 + 0.75 then divide.
0.65 + 0.75 = 1.40 13.65 / 1.40 = 9.75
Danny paid $9.75 per pound!
Answer:
-9 x -3
Step-by-step explanation:
-7 x -2 will give +14.
-9 x -3 will give +27
+27 is greater than +14.
Two negative numbers multiplied will give a positive answer. (Always)
Answer:
57 minutes
Step-by-step explanation:
6*3=18 minutes then if you add 18+39 you get 57
Answer:
The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.
Step-by-step explanation:
Standardized score, z = (x - xbar)/s
xbar = mean, s = standard deviation.
For the first test, x = 271.2, xbar = 240, s = 24
z = (271.2 - 240)/24 = 1.3
For the second test, x = 63.6, xbar = 60, s = 6
z = (63.6 - 60)/6 = 0.6
The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.
Hope this Helps!!!
