A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is
Answer:
Step-by-step explanation:
Area of shaded region= area of rectangle- area of triangle
Area of rectangle= l×b
=9×3
= 27m²
Area of triangle=
b×h
=
×3×3
=
⇒4.5
Area of shaded region= area of rectangle- area of triangle
=27-4.5
=22.5m²
You are given the X value, replace x with 2 in the first equation to solve for y:
y=2x +3
y = 2(2) +3
y = 4+3
y = 7
Now replace y with 7 and x iwth 2 in the second equation and solve for k:
y = -x +k
7 = -2 +k
Add 2 to both sides:
9 = k
so k = 9
The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.
K = 9
Answer:
31°
Step-by-step explanation:
The upper and lower triangles are similar, because their bases are parallel.
This implies that their correspondent angles have the same measure: the correspondent angle of x is the 31° angle.