Answer:
number 2
Step-by-step explanation:
3*7*6=126
4*3*10=120
126-120=6
A+bi is a complex number
(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
ok so
if Ac+Be=dc+fe where c=c and e=e then A=d and B=f
(3+2i)(a+bi)=17+7i
expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so
3a-2b=17 and
2ai+2bi=7i
we need to solve
2nd equation, divide both sides by i
2a+2b=7
multiply by -1 and add to other equation
3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10
subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2
the complex number is
10-(13/2)i or
10-6.5i
Answer:
M (0, 6)
Step-by-step explanation:
By midpoint formula,
M [(x1+x2)/2 , (y1+y2)/2]
M [-5+5/2 , 3+9/2]
M (0/2 , 12/2)
M (0, 6)
Convert gal to cup
16 cups = 1 gallon
or 16 cuos per gallon
or 16 cups/gallon
1.5 gallons × 16 cups/gallon = 24 cups
(gallons cancel out)
Answer:
Unlike terms
Step-by-step explanation:
If it was 4y and 5y it would be like. Adding the x though makes them unlike terms, you cannot combine them