The explicit rule for any arithmetic sequence is:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case a=-3 and d=7 so:
a(n)=-3+7(n-1)
a(n)=-3+7n-7
a(n)=7n-10
Answer:
length : 15 ft
width : 3 ft
Step-by-step explanation:
perimeter = 2×l(ength) + 2×w(idth) = 36
l = 3w + 6
=> 2×(3w+6) + 2w = 36
6w + 12 + 2w = 36
8w = 24
w = 3
=> l = 3w + 6 = 3×3 + 6 = 9+6=15
Answer:
69
Step-by-step explanation:
[11]
Equation: 180° - 75°
Measure: 105°
A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.
[12]
Equation: 90° - 40°
Measure: 50°
The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.
(x + 3) (x + 2) = 0
To solve it, the most appropriate technique is:
1.) zero product property
The solutions are:
(x + 3) = 0
x = -3
(x + 2) = 0
x = -2
x² + 6 = 31
To solve it, the most appropriate technique is:
2.) square root property
x² = 31-6
x² = 25
x = +/- root (25)
x = +/- 5
The solutions are:
x = 5
x = -5
