Use substitution and substitute y into the other equation. One of the equations already gives you y in terms of x, so use that and substitute it into the other equation. y = 3x - 4
Plug into the other equation: -3y = -9x + 12
-3(3x-4) = -9x + 12
-9x + 12 = -9x + 12
This is an identity. So that means that any value of x makes this equation true. So B.
The original fire department is 3 units wide and 4 units long.
The new fire deportment is also 3 units wide, so to be congruent, it needs to be 4 units long.
Point C would be (1,-5)
Point D would be (4,-5)
See attached picture.
12.25 just divide all of them first then add all together
Answer:
x = 4
y = 4√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 8
Adjacent = y
Opposite = x
Recall: SOHCAHTOA
✔️To find x, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = x/8
x = 8 × sin 30
x = 8 × ½ (sin 30 = ½)
x = 4
✔️To find y, apply CAH:
cos 30 = Adj/Hyp
Cos 30 = y/8
y = 8 × Cos 30
y = 8 × √3/2 (cos 30 = √3/2)
y = 4 × √3
y = 4√3