Answer:
0 < y <= 6
Step-by-step explanation:
Given:
√(x² - 6x + 9)
if -3 <= x < 3
you can write (x² - 6x + 9)
as (x-3) * (x- 3) which is (x-3)²
so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:
| x - 3 |
So √(x² - 6x + 9) = | x - 3 |
See the graph in the attachment.
for -3 <= x < 3
you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.
This is written as 0 < y <= 6
Answer: X is equal to -3
Step-by-step explanation: I isolated x and then divided both sides by x
Here's a really cool website that let's you input 3D points!
http://technology.cpm.org/general/3dgraph/
From the attached picture you can see that the point has moved back 5 units, to the left 5 units, and up 5 units.
Answer: The post office is 32 feet tall.
Step-by-step explanation:
We set up a proportion : 10ft/15ft = xft/48ft
In this equation "x" is the height of the post office. After setting up a proportion with the size of the buildings on the top (numerator) and the shadows of each building on the bottom (denominator) we cross multipy to get our equation to find x. We then divide both sides of the equation by 15 to get our answer.
Factor out the 5. 5(x - 6)
