Answer:
The width is 3 yds
Step-by-step explanation:
Area = length * width
18 = 6*w
Divide each side by 6
18/6 = 6w/6
3=w
The width is 3 yds
Answer:
4^-2
Step-by-step explanation:
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
The hypotenuse of the right triangle measures 3 units.
<h3>
How to find the hypotenuse?</h3>
Here we know that both legs measure:

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

Then we conclude that the hypotenuse of the right triangle measures 9 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.