Answer:
(-2, -1).
Step-by-step explanation:
y = x² + 4x + 3
Completing the square:
y = (x + 4/2)^2 - (4/2)^2 + 3
y = (x + 2)^2 - 4 + 3
y = (x + 2)^2 - 1.
This is vertex form and the coordinates of the vertex are (-2, -1).
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
Answer:

Step-by-step explanation:
slope intercept form is y =mx+b
m is the slope
b is the y intercept
if you have any questions feel free to ask :)
Answer:
It is b
Step-by-step explanation:
I did the assignment
Answer:
106.68 cm long
Step-by-step explanation:
Let's use a ratio:
inch : centimeters
16 : 40.64
1 : 2.54
42 : 106.68
The ribbon would be 106.68 cm long.