Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
= 
Simplify
: y

Apply the fraction rule: 
= 
Divide the numbers: 
= y
Simplify
: - 8

Apply the fraction rule: 

Divide the numbers:
= 8
= - 8
y = - 8
Answer:
Step-by-step explanation:
A(x)=3x^2
B(x)=8x+3
A(x)=B(x)
3x^2=8x+3
3x^2-8x-3=0
factor
(3x+1)(x-3)=0
x-3=0
x=3
3(3^2)=8(3)+3
3(9)=24+3
27=27
Answer:
Step-by-step explanation:
Put it into y=mx+b form and use substitution.
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72