Answer:
h=2
a=4
k= -21
Step-by-step explanation:
your h and k are vertex . h= x coordinate of vertex and k= y
so formula for vertex coordinates is x= -b/2a and y= (4ac-b²)/4a
your a b c are 4 -16 and -5 respectively according to the main equation
your a is concavity which is the same number as the 'a' of the equation
Part A: (n^2-6n)+16
[(n^2-6n+9)-9]+16
(n-3)^2+7
Part B: From the above result,
Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive
Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3
Hope this helps!
Answer:
63
Step-by-step explanation:
let the two numbers be x,y (x>y)
Then x+y = 16 and x-y = 2
We know that (x+y)^2 - (x-y)^2 = 4xy
So 4xy = 16^2 - 2^2 => 4xy = (16+2)(16–2)
So xy = 18×14/4 = 63
Product of the numbers = 63
Answer:
The number is 6
Step-by-step explanation:
Given:
A number tripled and 6 is 24
To Find:
The Number = ?
Solution:
Let the number be x
The question states that the number is tripled. so lets multiply the number by 3, We get
3x
Then
3x + 6 = 24
On solving the equation we get
3x = 24 -6
3x = 18
x = 6
Converting to slope intercept form:-
5x - 4y = 4
-4y = -5x + 4
y = 5/4 x - 1 so the slope of the line = 5/4
Finding the line that passes through ( -8, 2) with the same slope:-
y - 2 = 5/4(x - -8) (Point-slope form)
y = 5/4x + 10 + 2
y = 5/4 x + 12 is the answer is slope intercept form
In standard form :-
4y = 5x + 48
5x - 4y = -48 is the answer is standard form
