Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
<u>Part 1</u>
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
<u>Part 2</u>
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
Answer:
4
Step-by-step explanation:
AO = OC
3x - 4 = 8
x = 4
Answer:
sin^2α
Step-by-step explanation:
I will just pose x instead of alpha here to make things simpler
we know that sin^2x = 1 - cos^2x so...
we can rewrite using trigonometric identities (tan = sin/cos)...
Answer:
A, B, D and F.
Step-by-step explanation:
Rin spends $20 every week on drum lessons.
If:
d = total amount of dollars Rin spends
w = number of weeks
Then: d=20w
w is the independent variable while d is the dependent variable. A change in w will lead to a change in d. Therefore:
(A)The independent variable causes a change in the dependent variable.
(B)The equation is d = 20w.
From the equation: d=20w
When w=1, d=$20
When w=2, d=$40
When w=3, d=$60
When w=4, d=$80
This tallys with the values in Option F.
Therefore:
(D)As the number of weeks increases, the total dollars Rin spends increases.
The correct options are: A, B, D and F.
1) =
2) <
3) RS and AB
4) RS and DC are both parallel
