Answer:
x = 12
Step-by-step explanation:
x - 5 = 84/x
x² - 5x = 84
x² - 5x - 84 = 0
x = (5 ±√(5² - 4(1)(-84))) / 2
x = (5 ± 19) / 2
x = -7 ignore
x = 12
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:
a1) 65
a2) 25
a3) 45
Step-by-step explanation:
all triangle equal to 180
Answer:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
This is not a function
Step-by-step explanation:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
one x-value with two y-values, (-1, 2) and (-1, -2)
not a function
Plotting the graph should be easy
left side are x-values
right side are y-values
4.25 is the correct answer
