Answer:
implifying
f(x) = lx + 4l + -3
Multiply f * x
fx = lx + 4l + -3
Reorder the terms:
fx = -3 + 4l + lx
Solving
fx = -3 + 4l + lx
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = -3x-1 + 4lx-1 + l
Simplifying
f = -3x-1 + 4lx-1 + l
Reorder the terms:
f = l + 4lx-1 + -3x-1
Step-by-step explanation:
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Hi there!
Pauline simplified the expression correctly.
Pauline made sure she used the distributive property and combined like terms after doing so.
Hope this helps !
Answer:
(3) Diagonals are perpendicular
Step-by-step explanation:
Step-by-step explanation:
R=2m
A=πr²
A = 3.142*2*2
=12.568 m2
