30+((6÷3)+(3+4))
30+(2+7)
30+9
39
Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,
This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:
When n=3, we get:
When n=4, we get:
When n=5, we get:
Therefore the first five terms are:
4.5, -27, 162,-972, 5832
5' 4" = 64" (5x12)+4
2' 7" = 31" (2x12)+7
3' 10" = 46" (3x12)+10
64+31+46= 141"
141/12= 11.75= 11 3/4
12" per foot / 4 denominator from above= 3
3 numerator from above x 3 quotient from above= 9
11' 9"
Answer:
Step-by-step explanation:
To work out x is easy as they are corresponding angles x will also equal 50
however to work out y you just need to minus 180 and 50 to give 130
Equation A find “m” and “b”:
“B” is the y-intercept when x = 0. They give this in the table as “-2” so b = -2
Find slope (m) = (-8)-(-2)/(-2)-0 = 3
Equation A is y = 3x - 2 (y = mx + b)
Equation B find “m” and “b”:
Find m = (-9)-(-5)/(-3)-(-1) = 2
To find be, plug in m, x, and y from ANY coordinates in table b into y = mx + b:
-9 = 2(-3) + b
-9 = -6 + b
b = -3
Equation b is y = 2x -3
Use substitution and substitute all of equation “b” for “y” in equation a:
2x - 3 = 3x - 2
Algebra: x = -1
Plug back into equation a:
y = 3(-1) -2
y = -5
x = -1
(-1, -5) final answer (B)
