Answer:
B, False,
Step-by-step explanation:
Answer:
Y=168
Step-by-step explanation:
Y varies directly as X
Y=kx
K is a constant
28=k2
K=28/2 =14
Y=14x
Y=14×12
Y=168
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
The answer is A. true, since the order of operations goes as follows:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
One way I was taught to remember it was by creating a saying out of the first letters(PEMDAS=Please Excuse My Dear Aunt Sally).
Answer:
The steps will be :
1. Draw both equations into the graph.
2. Look for the coordinates where they intersect(curve and line crosses each other). So the coordinates will be (-2,0) and (3,5).
3. The x-value of the coordinates will the solution to the equations.
4. Therefore, the answer will be -2 and 3.