Katie is 6; Cathy is 18!
X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.
2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.
In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.
Now nth term for first sequence = a1+(n-1) d1
nth term for second sequence = a2+(n-1) d2
Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2
= a1+a2 + (n-1)(d1+d2)
This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.
Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.
Answer:
16x^2 -48xy^3 +36y^6
Step-by-step explanation:
Use FOIL or the distributive property or the form of the square of a binomial to expand the square.
(4x -6y^3)(4x -6y^3) = 4x(4x -6y^3) -6y^3(4x -6y^3)
= (4x)^2 -(4x)(6y^3) -(6y^3)(4x) +(6y^3)^2
= 16x^2 -48xy^3 +36y^6
_____
The form referred to above is ...
(a +b)^2 = a^2 +2ab +b^2
3.142×40^2×150=753,982.237
if1sec =0.2litres
what about 753.982=
753.982×1/0.2
=22.80
Triangle ABC is similar to triangle DEF. the ~ symbol means similarity.
