Answer:
The last one (f) hope u still have time
For any arbitrary 2x2 matrices
and
, only one choice of
exists to satisfy
, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on
. One such restriction would be to ensure that
is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking
we'd get equality.
Answer:
, 12, 48, 192...
a. Write a recursive formula for the nth term of the sequence
Ans: a(n+1) = 4*a(n)
------------------------------
b. Write a general formula for the nth term of the sequence
a(n) = 3*4^(n-1)
--------------
c. Calculate S10 for this sequence
Geometric sequence with a(1) = 3 and r = 4
----?
Step-by-step explanation:
N ÷ 6 = 8
hope this helps good luck! =]
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
