Hey there! :D
So, we know that there are 3 z's and 3 6's.
3*z= 3z
6*3= 18
3(z+6) <== equivalent expression
3z+18 <== equivalent expression
z is by itself. It shouldn't combine. It should stay the same. 6 as a unit is separate from z.
Choices "B" and "E" are correct.
I hope this helps!
~kaikers
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

Answer
- g(x) = x+4
- Therefore the value of k is 4.
Answer:
<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.
The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.
The hair can be seen 2 cm wide in the photograph.
Converting to millimeters, 2 cm = 2*10 = 20 millimeters.
The actual width of the hair is 20 / 150 = 0.13 mm
There is 15 bars in each case.
Subtract 8 from 143 and you get 135.
Divide 135 by 9 and you get 15 :)
The first thing we must do for this case is to calculate the scale factor.
For this, we make the relationship between two parallel sides.
We have then:

Substituting values we have:

We are now looking for the value of AB
We have then:

Substituting values:

Answer:
The scale factor is:

The value of AB is:
