Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) =
Using the tangent on the building:
tan(θ) = 
⇒ h = 25 · tan(θ)
= 25 ·
⇒ h = 41.66... ≈ 41.67
Answer:
The circle's centre is at the position (3, 5), and it has a radius of 2
Step-by-step explanation:
First let's put it in a useful format by completing the squares:
x² + y² - 6x - 10y + 30 = 0
x² - 6x + y² - 10y = -30
x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25
(x - 3)² + (y - 5)² = 4
This tells us that the centre position is (3, 5) and the radius is √4, or 2
Answer:
x = 10.25
y = 6.7
Step-by-step explanation:
X = 8 - (-2.25) = 10.25
Y = 6 - 4.2 - (-4.9) = 6.7
Answer:
i) D: All real numbers
ii) R: 
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is

The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is 
The function has vertex
.
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore
or ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
iii) To find the y-intercept, put
into the function.




The y-intercept is (0,2) or 
See attachment for graph.
Answer:
13/3
Step-by-step explanation:
k - 4/3 = 3
k = 3 + 4/3
k = 13/3