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:
OP/PN = LM/MN
Step-by-step explanation:
We can prove triangle ONP is similar to LNM due to Angle-Angle similarity. Now, OP to LM = PN to MN. OP/LM = PN/MN, OP/PN = LM/MN
Answer:
2:3:4
Step-by-step explanation:
100:150:200
10:15:20
2:3:4
hope it helps
pls mark me as brainliest
Tan (10 degrees) = 1983 / distance
distance = 1983 / tan (10 degrees)
distance = 1983 / 0.17633
<span><span><span>distance = 11,246</span> feet
11,246 / 5,280 = 2.13 miles</span> </span>
The equation of a circle is (x - h)² + (y - k)² = radius²
where the center is represented by (h, k).
So to plug in:
(x - (-2))² + (y - 1)² = radius²
(x + 2)² + (y - 1)² = radius²
To find the radius, you can do the distance formula OR (and I suggest this one) use common sense. The center and point given have the same Y-value meaning they are in a horizontal line. Because of this, you can just find the distance between them (AKA your radius) by doing the absolute value of their difference:
|- 4 - (-2)| = |- 4 + 2| = |-2| = 2
Just to show order doesn't matter:
|- 2 - (-4)| = |- 2 + 4| = |2| = 2
Your radius is 2. Plug this into your equation and simplify.
(x + 2)² + (y - 1)² = (2)²
Your answer is:
(x + 2)² + (y - 1)² = 4