Answer:
The parent sine graph
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function
we simply move the graph of
up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function
is shown in grey (dashed line)
The function
is shown in red.
Answer:
11
Step-by-step explanation:
33÷11=3
22÷11=2
3 and 2 habe no common factors
Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

Simplify:

Square:

Add:

Take the square root. Use a calculator:

So, the distance between them is about 7.8 units.
And we're done!
All triangles must equal 180°. So there you have a right angle which = 90° and a 25° angle. add those together to get 115°. Now do 180-115=65°. the missing angle is 65°.