Answer:
3n + 3
Step-by-step explanation:
Mia is correct
When n= 1 , 3n + 3 = 3*1 + 3 = 3 + 3 = 6
When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9
When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12
When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15
Answer:
Step-by-step explanation:
The given system is:
4x-3y=8
5x-2y=-11
We make x the subject in the top equation to get:
Plug this expression for x in the bottom equation to get
We expand to obtain
Multiply through by 4
Group similar terms
This means
the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
Answer:
no solutions
Step-by-step explanation:
y = -3x +10
3x +y = 5
Substitute the first equation into the second equation
Let every instance of y in the second equation be replaced with -3x+10
3x+ (-3x+10) = 5
Combine like terms
10 =5
This is never true so there are no solutions
(These are parallel lines with the same slope but different y intercepts)