A triangle solver tells you
C = 85° b ≈ 8.4 c ≈ 10.4From the sum of angles of a triangle,
C = 180° -42° -53° = 85°
From the law of sines
b = sin(53°)/sin(42°)*7 ≈ 8.355
c = sin(85°)/sin(42°)*7 ≈ 10.422
Answer:
If the slopes are different, there is one solution.
If the slopes the same but the y intercepts different, there is no solution.
If the slopes and y intercepts are the same, there are infinitely many solutions.
2x + y = 4
2y = 6 - 2x
Solve for y on both
y = 4 - 2x
y = 3 - x
They are both different, so there is one solution
Step-by-step explanation:
Marks of Bobbie = x
Then, marks of Georgia
= 3 times marks of Bobbie
= 3 times m
= 3 × m
= 3m
This is a basic addition/subtraction question. It's saying that they started at the 50 yard line. On the play, they gained 7 yards. So, we'll add 50+7 = 57.
They're at the 57 yard line at this point. On the second play they lost 10 yards (how unfortunate). Thereby, we will subtract 57-10=47.
50 yards +7 yards. -10 yards.
The answer will be that they'll be on the 47 yard line on the next play.
Let the value of the vehicle be described by the equation
V = a + bx
where x = number of years since purchase
a,b are constants.
When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500
When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000
The equation is
V = 7500 - 1000x
The slope of this equation is the depreciation rate, and it is -$1000 per year.
Answer: $1000 depreciation per year.