Answer:
8*2^(n-1)
Step-by-step explanation:
This is a geometric sequence since we multiply from the previous term.
a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.
The first term is 8, so we have
a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)
Answer:
2/3
Step-by-step explanation:
6x + 4y = 72
-6x -6x
4y = 72 - 6x
/4 /4
y = 18 - 6/4x
y = -6/4x + 18
perpidicular slope is the opposite reciprical of the original line:
-6/4 is the slope of the line above.
4/6 or 2/3 would be the desired slope
check:
the two slopes mutplied would equal -1
-6/4 x 2/3 = -12/12 = -1
Answer:
See image attached
Step-by-step explanation:
This type of transformation corresponds to a reflection of the function's graph around the x axis. Therefore one should obtain the mirror image of the segments on he upper quadrant as shown in red in the attached image.
9) Area of Figure = Area of rectangle + area of triangle
A = 17 * 22 + (1/2 * 12 * 19)
A = 374 + 114
A = 488 cm²
10) Area of Figure = Area of rectangle + area of triangle
A = 8 * 4 + (1/2 * 3*4)
A = 32 + 6
A = 38 cm²
Hope this helps!
Answer:
height = 20 cm
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = 
bh ( b is the base and h the perpendicular height )
here b = 50 and A = 500, hence
× 50h = 500, that is
25h = 500 ( divide both sides by 25 )
h = 20 cm
