Answer:
1/2 + 5/2 i
Step-by-step explanation:
(-5+i) i
---------* --------
2i i
cannot have i in the denominator so we multiply by i
(-5+i) i -5i + i^2
---------* -------- = ----------------
2i i +2i^2
remember i^2 = -1
-5i + -1 -1 -5i
= ---------------- = ------------------
+2(-1) -2
get rid of the negative in the denominator by multiplying the top and bottom by -1
(-1 -5i) * -1
= ------------------
-2*(-1)
(1 +5i)
= ------------------ = 1/2 + 5/2 i
2
Answer:
1. 2.997
2. 29.93
Step-by-step explanation:
1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.
2. Same thing, gotta multiply all given values
Answer ↣ 12 gallons per minute
Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.
Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.
To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.
Well to get from 3 to 1, you have to divide by 3.
Do the same thing to 36. 36/3 equals 12.
So the final ratio is 12:1
This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).
You can multiply 1 by any number and multiply 12 by the same number.
Here are some ratios...
m=minutes
g=gallons
1m:12g
2m:24g
3m:36g
4m:48g
5m:60g
Hope this helped!
BTW why do I sound like this I'm not a aesthetic person-
(x-3)^2=10
I hope this helps you.
