Multiply both sides by 8. Then divide both sides by 3. Answer is 8/3
d=rt
r = 9 1/2 as an improper fraction (2*9 +1)/2 = 19/2
t = 1 3/4 as an improper fraction (4*1+3)/4 =7/4
d=rt
d = 19/2* 7/4 = 133/8
8 goes into 133 16 times with 5 left over
16 5/8 miles
Answer:
12y +16yi
Step-by-step explanation:
The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.
Here, we assume you have ...
(5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)
The factor (4 -3i) can be factored out, so you have ...
= ((5 +2yi) -(5 -2yi))(4 -3i)
= (4yi)(4 -3i)
= 16yi -12yi²
At this point, the definition of i comes into play, and you replace i² with -1.
= 12y +16yi
Set the equation equal to zero.
9x+6=0
Subtract 6 from both sides
9x = -6
Divide both sides by 9
x=-6/9
or -2/3
2(5x-3)=0
Distribute
10x-6=0
add 6 to both sides
10x=6
Divide by 10 on both sides
x=6/10 or 4/5
5y+14=0
-14 from both sides
5y=-14
divide both sides by 5
y=-14/5
or -2 and 4/5
