Answer:
3x >/= 24 or 3x </= -24
Step-by-step explanation:
Plug in (-8) for (x) and solve.
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
Answer:
E. 64,000,000
Step-by-step explanation:
2^26 = (2^13)^2
But 2^13 = 8000 so
2^26 = (8,000)^2
= 64,000,000
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
Answer:
One solution: x=2.4, y=0.2
Step-by-step explanation:
x-2y=2
y=-2x+5
x-2(-2x+5)=2
x+4x-10=2
5x=2+10=12
x=12:5=2.4
y=-2x+5=-2*2.4+5=-4.8+5=0.2
