Answer:
Step-by-step explanation:
7+5b²-2a²+7b²+66-20a-3
first collect like terms
5b²+7b²-2a²-20a+7-3
12b²-2a²-20a+4
hope it's helpful
THANK YOU.
Answer:
3√3+4
Step-by-step explanation:
Given the vectors u = <√3, -1> and v = <3, -4>
u · v = <√3, -1> *<3, -4>
u · v = 3√3 + (-1*-4)
u · v = 3√3+(4)
u · v = 3√3+4
Hence the dot product is 3√3+4
Answer:
1308
Step-by-step explanation:
multply
109 by 12
giving you 1,309
equation: 109×12
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes
so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so
x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero
x³=0
x=0
x-∛3=0
x=∛3
x²+x∛3+∛9=0 has no solution
x+∛3=0
x=-∛3
x²-x∛3+∛9=0 has no solution
so the solutions are
x=-∛3, 0, ∛3
35 is the 20% so you multiply 35x5=175. 175 is the whole thing so you minus 175-35=140 which is the remaining money so half of that is 70
