Answer:
-2
Step-by-step explanation:
(y-2)=-(12/4)
y-2= -4
y= -4+2
y = -2
Answer:
Perpendicular = Y = 34.64 ft (Approx)
Base = X = 20 ft
Step-by-step explanation:
Given:
θ = 60°
Hypotenuse = 40 ft
Perpendicular = Y
Base = X
Find:
X and Y
Computation:
Sinθ = Perpendicular / Hypotenuse
Sin 60 = Y / 40
Perpendicular = Y = 34.64 ft (Approx)
Cosθ = base / Hypotenuse
cos 60 = X / 40
Base = X = 20 ft
Note that 2x-y=8 can be solved for y: y=2x-8. This is identical to the first equation. The graph of one is exactly the same as the graph of the other. Thus, the two equations are dependent.
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
y - 1 = ⁵/₆(x - 4)
y - 1 = ⁵/₆(x) - ⁵/₆(4)
y - 1 = ⁵/₆x - 3¹/₃
+ 1 + 1
y = ⁵/₆x - 2¹/₃
⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
-6(⁻⁵/₆x + y) = -6(-2¹/₃)
-6(⁻⁵/₆x) - 6(y) = 14
5x - 6y = 14
