Answer:

Step-by-step explanation:
Remember 
You are given the fraction 
First, multiply the numerator and the denominator by -2-3i:

This gives you 13 in denominator, now multiply two complex numbers in numerator:

Thus, the initial fraction is

Answer:
The units of measurement for the composite function c(w(h)) is canvases over weeks.
Step-by-step explanation:
Given :
The function c(t) approximates how many canvases she paints per hour.
The function w(h) represents how many hours per week Christina spends painting the canvases.
To Find: What are the units of measurement for the composite function c(w(h))?
Solution:
C(t)= canvases paints per hour
W(h)=hours per week
C(w(h)) =canvases paints per hour * hours per week
C(w(h)) =canvases per week
So, Option 3 is true
Hence , the units of measurement for the composite function c(w(h)) is canvases over weeks.
Answer:
slope: 5
y-intercept: 3
therefore y=5x+3
Step-by-step explanation:
the slope is the value that is changing; as time passes the price increases by $5 per hour
the y-intercept is where the function crosses the y-axis (when x is 0); so when no time has passed.
Answer:
y=7x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=7(x-(-2))
y+9=7(x+2)
y+9=7x+14
y=7x+14-9
y=7x+5
Please mark me as Brainliest if you're satisfied with the answer.
If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.
( The square root of ( (x - x)^2 + (y - y)^2 ) )
First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)
4 - 7 = -3
Now, we square the -3.
-3^2 =
-3 * -3 = 9
Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)
5 - (-9) = 14
Now, we square the 14.
14^2 =
14 * 14 = 196
Let's see how the numbers fit in the formula:
sqrt((x - x)^2 + (y - y)^2)
sqrt((4 - 7)^2 + (7 - (-9))^2)
sqrt((-3)^2 + (14)^2)
sqrt( 9 + 196 )
This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.
sqrt( 9 + 196 )
sqrt( 205 )
The square root of 205 = 14.31782106...
There are a few answers you can consider:
1) sqrt(205)
2) 14.32 units
or
3) 14.31782106
Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require.
Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as <em>Brainliest</em>! :)
Have a good one.
God bless!