Answer:
X=18
Step-by-step explanation:
(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)
(1/2)*x-((1/3)*(x-12))-7 = 0
(-1/3)*(x-12)+(1/2)*x-7 = 0
x/2-1/3*(x-12)-7 = 0
(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0
x-1/3*2*(x-12)-7*2 = 0
1/3*x-14+8 = 0
1/3*x-6 = 0
(1/3*x-6)/2 = 0
(1/3*x-6)/2 = 0 // * 2
1/3*x-6 = 0
1/3*x-6 = 0 // + 6
1/3*x = 6 // : 1/3
x = 6/1/3
x = 18
Answer:
The following would be best modeled by an exponential decay function
A.) An island is being eroded away and loses 10% of its beachfront every year.
D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.
Step-by-step explanation:
The following would be best modeled by an exponential decay function
A.) An island is being eroded away and loses 10% of its beachfront every year.
D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.
Answer:
no solutions
Step-by-step explanation:
The lines are parallel and never intersect. The solutions occur when the lines intersect, so there are no solutions
the constant of proportionality
Step-by-step explanation:
proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality
Answer:
BD = 12.1 (nearest tenth)
Step-by-step explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)
