So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
Answer: x = -2
Step-by-Step Explanation:
Since the two expressions both equal y, you can set them equal to each other.
2x-1 = 3x+1
Subtract 2x from both sides.
-1 = x+1
Subtract 1 from both sides.
-2 = x
To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)
In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.
Formula: f(x) = a(x – h)2 + k
transformation: 1 unit right 2 units up
vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite
maximum/minimum: maximum
range: (-∞, ∞)
domain: y ≥2
